Journal articles: 'Elastoplastic matrix'

1

Wu, Y., and JW Ju. "Elastoplastic damage micromechanics for continuous fiber-reinforced ductile matrix composites with progressive fiber breakage." International Journal of Damage Mechanics 26, no. 1 (July 28, 2016): 4–28. http://dx.doi.org/10.1177/1056789516655671.

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An elastoplastic damage micromechanical framework considering evolutionary fiber breakage is proposed to predict the overall material behaviors of continuous fiber-reinforced composites with ductile matrix under external loading. In the present work, we assume that the overall nonlinear behavior of a composite is primarily attributed to the plastic deformation in the matrix as well as the damage evolution due to fiber breakage. The effective elastoplastic deformations are governed by means of the effective yield surface derived from a representative microstructure with elastic fibers embedded in an elastoplastic matrix material. The matrix behaves elastically or plastically depending on the local stress, and the effective elastoplastic deformation obeys the associative plastic flow rule and isotropic hardening law. In addition, taking advantage of the eigenstrain due to fiber breakage together with a Weibull statistic model, the evolutionary fiber breakage mechanism is effectively predicted. Finally, the overall elastoplastic stress–strain responses are reached under the framework of micromechanics and damage mechanics. Comparisons between the proposed theoretical predictions and experimental data are performed to illustrate the capability of the proposed framework. In particular, the proposed model is employed to investigate the overall uniaxial and axisymmetric elastoplastic stress–strain responses of the continuous fiber-reinforced metal matrix composites. Studies of the initial yield surfaces at various damage levels are conducted as well.

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Buryachenko, V. A., F. G. Rammerstorfer, and A. F. Plankensteiner. "A Local Theory of Elastoplastic Deformation of Two-Phase Metal Matrix Random Structure Composites." Journal of Applied Mechanics 69, no. 4 (June 20, 2002): 489–96. http://dx.doi.org/10.1115/1.1479697.

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A two-phase material is considered, which consists of a homogeneous elastoplastic matrix containing a homogeneous statistically uniform random set of ellipsoidal inclusions with the same form, orientation, and mechanical properties. The multiparticle effective field method (used in this paper) in the original form assumes constant plastic strains in the matrix. This assumption is replaced by the following micromechanical model: Each inclusion consists of an elastic core and a thin coating. The mechanical properties of both the matrix and the coating are the same but with different plastic strains. Homogeneous plastic strains are assumed inside the matrix and in each of separate subdomains of the coating. A general theory of plasticity is developed for arbitrary loading based on incremental elastoplastic analysis. The consideration of inhomogeneity of plastic strains in the coating enables to obtain some principally new effects of elastoplastic deformation.

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Ju, J. W., and Tsung-Muh Chen. "Micromechanics and Effective Elastoplastic Behavior of Two-Phase Metal Matrix Composites." Journal of Engineering Materials and Technology 116, no. 3 (July 1, 1994): 310–18. http://dx.doi.org/10.1115/1.2904293.

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A micromechanical framework is presented to predict effective (overall) elasto-(visco-)plastic behavior of two-phase particle-reinforced metal matrix composites (PRMMC). In particular, the inclusion phase (particle) is assumed to be elastic and the matrix material is elasto-(visco-)plastic. Emanating from Ju and Chen’s (1994a,b) work on effective elastic properties of composites containing many randomly dispersed inhomogeneities, effective elastoplastic deformations and responses of PRMMC are estimated by means of the “effective yield criterion” derived micromechanically by considering effects due to elastic particles embedded in the elastoplastic matrix. The matrix material is elastic or plastic, depending on local stress and deformation, and obeys general plastic flow rule and hardening law. Arbitrary (general) loadings and unloadings are permitted in our framework through the elastic predictor-plastic corrector two-step operator splitting methodology. The proposed combined micromechanical and computational approach allows us to estimate overall elastoplastic responses of PRMMCs by accounting for the microstructural information (such as the spatial distribution and micro-geometry of particles), elastic properties of constituent phases, and the plastic behavior of the matrix-only materials. Comparison between our theoretical predictions and experimental data on uniaxial elastoplastic tests for PRMMCs is also presented to illustrate the capability of the proposed framework. A straightforward extension to accommodate viscoplastic matrix material is also presented to further enhance the applicability of the proposed method.

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Haghgoo, M., R. Ansari, MK Hassanzadeh-Aghdam, and A. Darvizeh. "Elastoplastic behavior of the metal matrix nanocomposites containing carbon nanotubes: A micromechanics-based analysis." Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications 233, no. 4 (May 7, 2017): 676–86. http://dx.doi.org/10.1177/1464420717700927.

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The elastoplastic behavior of aluminum (Al) nanocomposites reinforced with aligned carbon nanotubes (CNTs) is characterized using a unit cell micromechanical model. The interphase zone caused by the chemical reaction between CNT and Al matrix is included in the analysis. To attain the elastoplastic stress–strain curve of the nanocomposites, the successive approximation method together with the von Mises yield criterion is employed. The effects of several important factors including the volume fraction and diameter of CNT, material properties, and size of interphase on the elastoplastic stress–strain curve of the nanocomposites during uniaxial tension are studied. The results indicate that the interphase characteristics significantly affect the elastoplastic behavior of the CNT-reinforced Al nanocomposites. It is also found that the yield stress of the nanocomposites rises with increasing CNT volume fraction or decreasing CNT diameter. Besides, the elastoplastic stress–strain curve of the CNT-reinforced Al nanocomposites is presented for multiaxial tension. The initial yield envelopes of the nanocomposites under longitudinal–transverse biaxial tension are provided too. Comparison between the elastic results of the present model with those of other available micromechanical analyses shows a very good agreement.

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Ju, J. W., and K. H. Tseng. "Effective Elastoplastic Algorithms for Ductile Matrix Composites." Journal of Engineering Mechanics 123, no. 3 (March 1997): 260–66. http://dx.doi.org/10.1061/(asce)0733-9399(1997)123:3(260).

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TANG, HONGXIANG, ZHAOLONG HU, and XIKUI LI. "THREE-DIMENSIONAL PRESSURE-DEPENDENT ELASTOPLASTIC COSSERAT CONTINUUM MODEL AND FINITE ELEMENT SIMULATION OF STRAIN LOCALIZATION." International Journal of Applied Mechanics 05, no. 03 (September 2013): 1350030. http://dx.doi.org/10.1142/s1758825113500300.

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A pressure-dependent elastoplastic Cosserat continuum model for three-dimensional problems is presented in this paper. The nonassociated Drucker–Prager yield criterion is particularly considered. Splitting the scalar product of the stress rate and the strain rate into the deviatoric and the spherical parts, the consistent algorithm of the pressure-dependent elastoplastic model is derived in the three-dimensional framework of Cosserat continuum theory, i.e., the return mapping algorithm for the integration of the rate constitutive equation and the closed form of the consistent elastoplastic tangent modulus matrix. The matrix inverse operation usually required in the calculation of elastoplastic tangent constitutive modulus matrix is avoided, that ensures the second order convergence rate and the computational efficiency of the model in numerical solution procedure. A comparison is performed between the classical and Cosserat continuum model through the numerical results of three-dimensional shear structure, tensile specimen, footing on a soil foundation, and soil slope stability. It illustrates that mesh dependency and numerical difficulties exist in classical model, while Cosserat model possesses the capability and performance in keeping the well-posedness of the boundary value problems with strain softening behavior incorporated. The relationship between the internal length scale and the width of shear band and the load-carrying capability of the structure has also been demonstrated.

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He, Guanqiang, Hu Wang, Guangxin Huang, Haitao Liu, and Guangyao Li. "A Parallel Elastoplastic Reanalysis Based on GPU Platform." International Journal of Computational Methods 14, no. 05 (November 2016): 1750051. http://dx.doi.org/10.1142/s0219876217500517.

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An efficient parallel elastoplastic reanalysis method is suggested. The main backbone of the suggested method is based on combined approximation (CA) reanalysis. GPU parallel computation is used to accelerate assembling the stiffness matrix. Assembling process is divided into the offline part for strain matrix and online part for element stiffness matrix, which makes the structure of the program more reasonable and efficient. Pseudo elastic analysis is introduced and extended to load increment method to make the CA method more feasible. The numerical examples show that the suggested method can improve the efficiency of elastoplastic analysis significantly and the accuracy of results can also be ensured.

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HUANG, ZHUPING, YONGQIANG CHEN, and SHU-LIN BAI. "AN ELASTOPLASTIC CONSTITUTIVE MODEL FOR POROUS MATERIALS." International Journal of Applied Mechanics 05, no. 03 (September 2013): 1350035. http://dx.doi.org/10.1142/s175882511350035x.

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A micromechanics-based elastoplastic constitutive model for porous materials is proposed. With an assumption of modified three-dimensional Ramberg–Osgood equation for the compressible matrix material, the variational principle based on a linear comparison composite is applied to study the effective mechanical properties of the porous materials. Analytical expressions of elastoplastic constitutive relations are derived by means of micromechanics principles and homogenization procedures. It is demonstrated that the derived expressions do not involve any additional material constants to be fitted with experimental data. The model can be useful in the prediction of mechanical properties of elastoplastic porous solids.

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9

Sun, L. Z., and J. W. Ju. "Elastoplastic Modeling of Metal Matrix Composites Containing Randomly Located and Oriented Spheroidal Particles." Journal of Applied Mechanics 71, no. 6 (November 1, 2004): 774–85. http://dx.doi.org/10.1115/1.1794699.

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Micromechanics-based effective elastic and plastic formulations of metal matrix composites (MMCs) containing randomly located and randomly oriented particles are developed. The averaging process over all orientations upon three elastic governing equations for aligned particle-reinforced MMCs is performed to obtain the explicit formulation of effective elastic stiffness of MMCs with randomly oriented particles. The effects of volume fraction of particles and particle shape on the overall elastic constants are studied. Comparisons with the Hashin-Shtrikman bounds and Ponte Castaneda-Willis bounds show that the present effective elastic formulation does not violate the variational bounds. Good agreement with experimental elastic stiffness data is also illustrated. Furthermore, the orientational averaging procedure is employed to derive the overall elastoplastic yield function for the MMCs. Elastoplastic constitutive relations for the composites are constructed on the basis of the derived composite yield function. The stress-strain responses of MMCs under the axisymmetric loading are also investigated in detail. Finally, elastoplastic comparisons with the experimental data for SiCp/Al composites are performed to illustrate the capability of the proposed formulation.

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10

Potapov, Alexander N. "ABOUT THE FREE-VIBRATION MODE SHAPES OF ELASTOPLASTIC DISSIPATIVE SYSTEMS." International Journal for Computational Civil and Structural Engineering 14, no. 3 (September 28, 2018): 114–25. http://dx.doi.org/10.22337/2587-9618-2018-14-3-114-125.

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The author presents the conditions of the generalized orthogonality of the free-vibration mode shapes of an elastic dissipative system, for which traditional classical orthogonality conditions are a private case. As opposed to these conditions, the above ratios contain the mass matrix, the damping matrix, and the diagonal form of the spectral characteristics (damping coefficients and mode-shape frequencies). Within the theory of time analysis, free-vibration mode shapes of an elastoplastic system are built on the basis of using a schematized diagram of strain with hardening. The author proposes a design scheme that reduces the process of nonlinear vibrations to a sequence of processes flowing according to a linear scenario within the time intervals called quasilinear. In these intervals, the parameters of the dynamic model (elements of the stiffness matrix and the damping matrix) remain unchanged, all the changes occur only when passing through the critical points. As a result, the author formulated the condition for the nondegenerate state of an elastoplastic dissipative system. According to the condition, local plastic zones characterized by the size, the number and location of the zones on the design scheme of the structure correspond to each quasilinear interval. Since within the intervals, the parameters of the plastic zones are unchanged, the conditions of the generalized orthogonality of the mode shapes of the elastoplastic system are satisfied by analogy with the vibration mode shapes of an elastic dissipative system. The free-vibration motion of a hinged beam with three degrees of freedom are analyzed taking into account local plastic zones with different lengths and the location of zones in different nodes. It is shown that the configuration of the forms of elastoplastic oscillations differs qualitatively from the configuration of the corresponding forms of elastic vibrations.

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11

Jiang, Xin, and Xiao Hang Liu. "Thermal Elastoplastic Behavior of Dispersion Nuclear Fuel Elements." Advanced Materials Research 339 (September 2011): 353–57. http://dx.doi.org/10.4028/www.scientific.net/amr.339.353.

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A representative volume element is chosen to act as the research object to analyze the thermal elastoplastic behavior of the dispersion fuel elements. The large strain elastoplastic analysis is carried out for the mechanicalbehaviors using FEM. The results indicate that with the volume fraction of the fuel particles increasing, the Mises stress and the equivalent plastic strain in the matrix increases, and the first principal stress and the equivalent plastic strain in the cladding increases markedly.

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12

Ko, YF, and JW Ju. "Effects of fiber cracking on elastoplastic-damage behavior of fiber-reinforced metal matrix composites." International Journal of Damage Mechanics 22, no. 1 (January 9, 2012): 48–67. http://dx.doi.org/10.1177/1056789511433340.

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A micromechanical multi-level elastoplastic evolutionary damage framework is proposed to predict the overall transverse mechanical behavior and damage evolutions of cylindrical fiber-reinforced ductile composites. Progressively cracked fibers are modeled using the double-inclusion theory. The effective elastic moduli of three-phase composites, consisting of a matrix, randomly located yet monotonically aligned cylindrical uncracked fibers and cracked fibers, are derived by using a micromechanical formulation. In order to characterize the homogenized elastoplastic behavior, a micromechanical effective yield criterion is derived based on the ensemble-area averaging process and the first-order effects of eigenstrains. The resulting effective yield criterion, together with the overall associative plastic flow rule and the hardening law, constitutes the analytical framework for the estimation of effective transverse elastoplastic-damage responses of ductile composites containing both uncracked and cracked fibers. An evolutionary fiber cracking process, governed by the internal stresses and the fracture strength of fibers, is incorporated into the proposed work. The Weibull’s probabilistic distribution is employed to describe the varying probability of fiber cracking. Further, systematic numerical simulations are presented to illustrate the potential of the proposed methodology.

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13

Chen, Jing Yu, and Ying Hai. "The Modified Cam-Clay Model and the Constitutive Relation Principle of Thermodynamics with Internal Variables." Applied Mechanics and Materials 353-356 (August 2013): 837–41. http://dx.doi.org/10.4028/www.scientific.net/amm.353-356.837.

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According the theory of thermodynamics with internal variables, the relation between yield function and dissipation function and the condition of associated flow rule in stress space are presented; the elastoplastic matrix of the incremental form of the material constitutive equation is given out, this matrix is determined by the free energy function and the yield function. The Gibbs free energy function of solid phase of saturated soils subjected triaxial compression stress state is presented, and using the constitutive theory of thermodynamics with internal variables, yield function and stress-strain relation of the modified Cam-Clay model is obtained by the free energy function and the dissipation function. These results prove the correctness and feasibility for this constitutive theory to construct elastoplastic constitutive relation of saturated soils.

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14

Gadalińska, Elżbieta, Andrzej Baczmański, Sebastian Wroński, Mirosław Wróbel, Alain Lodini, Vincent Klosek, and Christian Scheffzük. "Neutron Diffraction Study of Elastoplastic Behaviour of Al/SiCp Metal Matrix Composite." Materials Science Forum 905 (August 2017): 66–73. http://dx.doi.org/10.4028/www.scientific.net/msf.905.66.

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The TOF neutron diffraction measurements were done for Al/SiCp metal–matrix composite (17% of SiC) subjected to T6 thermal treatment. Using three separated diffraction peaks of SiC phase and four peaks of Al phase, the lattice strains were measured for both phases independently during in situ tensile test. The experimental results were presented in comparison with elastoplastic model, which allows to find the values of parameters determining plastic deformation of Al matrix (critical resolved shear stress and hardening parameter). Additionally, the results of TOF method were compared with those which were obtained with monochromatic neutron radiation (LLB, Saclay). In the latter experiment Al/SiCp composite containing 25% of SiC was measured. It was shown that after elastoplastic deformation the mismatch stresses determined for both phases relax during tensile deformation.

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Guo, Li Na. "The Application of an Unsaturated Soil Elastoplasticity Model in Dam-Reservior Coupling System." Advanced Materials Research 261-263 (May 2011): 1239–43. http://dx.doi.org/10.4028/www.scientific.net/amr.261-263.1239.

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This paper summarized the research of an unsaturated soil elastoplastic model(BBM), then a revised elastoplastic incremental stiffness matrix for unsaturated soil is deduced,discrete the governing equation in space domain and time domain with Galerkin weighted residual method and Euler method,a nonlinear finite element program is developed for the analysis the water-mechanical coupling system of unsaturated soil.The constitutive model is used for a homogeneous dam’s FSI problem, and the seepage and deformation in dam’s distribution consistent with law.

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Kim, Hong Gun. "Assessment of Fiber Stress Based on Elastoplastic Analysis in Discontinuous Composite Materials." Key Engineering Materials 306-308 (March 2006): 829–34. http://dx.doi.org/10.4028/www.scientific.net/kem.306-308.829.

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An elastopalstic analysis of the micromechanical approach is performed to investigate the stress transfer mechanism in a short fiber reinforced composites. The model is based on the New Shear Lag Theory (NSLT) which was developed by considering the stress concentration effects that exist in the matrix region near fiber ends. The unit cell model is selected as the Representative Volume Element (RVE) for the investigation of longitudinal elastoplastic behavior in discontinuous composites. Thus far, it is focused on the detailed description to predict fiber stresses in case of the behavior of elastoplastic matrix as well as elastic matrix. Slip mechanisms between fiber and matrix which normally take place at the interface are considered for the accurate prediction of fiber stresses. Consequently, onset of Slip points is determined analytically and it showed a moving direction to the fiber center region from the fiber tip as the applied load increases. It is found that the proposed model gives the more reasonable prediction compared with the results of the conventional model (SLT).

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Shi, Guangyu, and G. Z. Voyiadjis. "A Computational Model for Fe Ductile Plastic Damage Analysis of Plate Bending." Journal of Applied Mechanics 60, no. 3 (September 1, 1993): 749–58. http://dx.doi.org/10.1115/1.2900868.

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This paper presents a computational model for the finite element plastic damage analysis of ductile flexural plates. The phenomenological damage model proposed by Lemaitre is adopted here. The damage effect parameters of a cross-section are defined and employed to account for the damage effect across the thickness of a bending plate. Similar to the effective stresses used in many damage models, the effective stress couples are introduced in this work and used in the yield function. The damage criterion is defined in terms of damage strain energy release rates. Based on the damage node model proposed here, the elastoplastic-damage stiffness matrix of element is derived. When the corresponding elastic stiffness matrix is given explicitly, the resulting elastoplastic-damage stiffness matrix can be evaluated without use of numerical integration. The feature of the expicit form of element stiffness matrix makes the computational model proposed here very efficient. Several numerical examples of ductile plastic damage analysis of plates are also given in this work to demonstrate the validity of the computational model.

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Vignoli, Lucas L., Marcelo A. Savi, and Sami El-Borgi. "Nonlinear dynamics of earthquake-resistant structures using shape memory alloy composites." Journal of Intelligent Material Systems and Structures 31, no. 5 (January 13, 2020): 771–87. http://dx.doi.org/10.1177/1045389x19898269.

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Earthquake-resistant structures have been widely investigated in order to produce safe buildings designed to resist seismic activities. The remarkable properties of shape memory alloys, especially pseudoelastic effect, can be exploited in order to promote the essential energy dissipation necessary for earthquake-resistant structures. In this regard, shape memory alloy composite is an idea that can make this application feasible, using shape memory alloy fibers embedded in a matrix. This article investigates the use of shape memory alloy composites in a one-story frame structure subjected to earthquakes. Different kinds of composites are analyzed, comparing the influence of matrix type. Both linear elastic matrix and elastoplastic matrix with isotropic and kinematic hardening are investigated. Results indicate the great energy dissipation capability of shape memory alloy composites. A parametric analysis allows one to conclude that the maximum shape memory alloy volume fraction is not the optimum design condition for none of the cases studied, highlighting the necessity of a proper composite design. Despite the elastoplastic behavior of matrix also dissipates a considerable amount of energy, the associated residual strains are not desirable, showing the advantage of the use of shape memory alloys.

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19

Shen, Min, Wen Liang Wang, Rui Xu, Jing Wei Tong, and Hong Xia Li. "Prediction of Orthotropic Mechanical Behaviors of Hot-Pressing Weft-Knitted Flax/PP Composites." Advanced Materials Research 287-290 (July 2011): 326–29. http://dx.doi.org/10.4028/www.scientific.net/amr.287-290.326.

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The orthotropic mechanical behaviors of weft-knitted flax fiber fabric reinforced polypropylene (PP) composites, which were produced by hot pressing of knit layers composed of a commingled yarn with a flax fiber content of 50vol.%, are investigated in both meso- and macro-scales. In meso-scale, the repeating unit cell (RUC) finite element (FE) model is developed, in which impregnated yarns are assumed to be isotropic elastic while the matrix is modeled as an elastoplastic, isotropic solid. Then, stress-strain curves of the RUC are simulated for its elastoplastic orthotropic parameters. Finally, in macro-scale of its specimen, the tensile behavior of the composite laminates with six parallel plies is simulated by means of 3D elastoplastic FE method. The applicability and limitation of this model have been discussed.

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Ning, Jian Guo, and Fang Jiang. "Elastoplastic Behavior of Particle Reinforced Composites Considering the Effect of Interfacial Debonding." Key Engineering Materials 340-341 (June 2007): 125–30. http://dx.doi.org/10.4028/www.scientific.net/kem.340-341.125.

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Based on Mori-Tanaka’s concept of average stress in the matrix and Eshelby’s equivalent inclusions theory, the stress or strain of the matrix, the reinforced particles and the composite are derived under a prescribed traction boundary conditions. The plastic strains and strains due to thermal mismatch between matrix and reinforced phase are considered as eigenstrains. The matrix and composite are postulated isotropic and the matrix satisfies isotropic hardening law. The interface debonding is decided by the tensile strength of the particles whose debonding probability is described by Weibull distribution function. Then the overall elastoplastic constitutive relation of spherical particle-reinforced metal matrix composite is derived by secant modulus method considering the interface debonding. The theoretical uniaxial stress-strain bebavior of the composite agrees well with the experimental curves.

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Amouzou, Gildas Yaovi, and Azzeddine Soulaïmani. "Numerical Algorithms for Elastoplacity: Finite Elements Code Development and Implementation of the Mohr–Coulomb Law." Applied Sciences 11, no. 10 (May 19, 2021): 4637. http://dx.doi.org/10.3390/app11104637.

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Two numerical algorithms for solving elastoplastic problems with the finite element method are presented. The first deals with the implementation of the return mapping algorithm and is based on a fixed-point algorithm. This method rewrites the system of elastoplasticity non-linear equations in a form adapted to the fixed-point method. The second algorithm relates to the computation of the elastoplastic consistent tangent matrix using a simple finite difference scheme. A first validation is performed on a nonlinear bar problem. The results obtained show that both numerical algorithms are very efficient and yield the exact solution. The proposed algorithms are applied to a two-dimensional rockfill dam loaded in plane strain. The elastoplastic tangent matrix is calculated by using the finite difference scheme for Mohr–Coulomb’s constitutive law. The results obtained with the developed algorithms are very close to those obtained via the commercial software PLAXIS. It should be noted that the algorithm’s code, developed under the Matlab environment, offers the possibility of modeling the construction phases (i.e., building layer by layer) by activating the different layers according to the imposed loading. This algorithmic and implementation framework allows to easily integrate other laws of nonlinear behaviors, including the Hardening Soil Model.

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Ham, Vu Cong. "Elastoplastic stability of thin rectangular plates under complex and impure loading." Vietnam Journal of Mechanics 23, no. 4 (December 31, 2001): 205–15. http://dx.doi.org/10.15625/0866-7136/9952.

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This paper deals with investigation of the elastoplastic stability of thin rectangular plates. The plate considered herein is subjected to the biaxial compressive forces which are assumed to be linearly distributed along every its edge.The governing equations of the problem are formulated with applying the elastoplastic process theory whereas Bubnov - Galerkin method is used to calculate the critical forces.In the paper the author proposes a new method to determine the elements of the matrix concerned with the instability moment of the structure and applies the Gaussian quadric method for integral calculation. Some results of numerical calculations are also presented in the paper.

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Pindera, M. J., and M. W. Lin. "Micromechanical Analysis of the Elastoplastic Response of Metal Matrix Composites." Journal of Pressure Vessel Technology 111, no. 2 (May 1, 1989): 183–90. http://dx.doi.org/10.1115/1.3265656.

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The micromechanics model proposed by Aboudi is employed to predict the response of two types of metal matrix unidirectional composites characterized by different microstructures; namely, boron/aluminum and graphite/aluminum. The analytical predictions are compared with experimental data obtained from tension and compression tests. It is illustrated that the elastoplastic response of boron/aluminum is modelled with good accuracy by the micromechanics model. In the case of graphite/aluminum, however, the nonlinear response in compression is affected by secondary dissipative mechanisms which, in turn, result in differences in the experimental/analytical correlation for compressive loading. These differences are discussed in terms of the microstructure of the graphite/aluminum system.

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Aleksandrov, S. Ye, and R. V. Gol'Dshtein. "Pull-out of a rigid fibre from an elastoplastic matrix." Journal of Applied Mathematics and Mechanics 64, no. 1 (January 2000): 155–61. http://dx.doi.org/10.1016/s0021-8928(00)00036-8.

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Kim, Hong Gun. "Analytical study on the elastoplastic behavior in metal matrix composites." Materials Science and Engineering: A 483-484 (June 2008): 135–38. http://dx.doi.org/10.1016/j.msea.2006.10.209.

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Sun, L. Z., J. W. Ju, and H. T. Liu. "Elastoplastic modeling of metal matrix composites with evolutionary particle debonding." Mechanics of Materials 35, no. 3-6 (March 2003): 559–69. http://dx.doi.org/10.1016/s0167-6636(02)00276-4.

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Kattan, Peter I., and George Z. Voyiadjis. "Overall damage and elastoplastic deformation in fibrous metal matrix composites." International Journal of Plasticity 9, no. 8 (January 1993): 931–49. http://dx.doi.org/10.1016/0749-6419(93)90059-y.

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Ye, Junjie, Xuefeng Chen, Zhi Zhai, Bing Li, Yugang Duan, and Zhengjia He. "Predicting the elastoplastic response of fiber-reinforced metal matrix composites." Mechanics of Composite Materials 46, no. 4 (October 8, 2010): 405–16. http://dx.doi.org/10.1007/s11029-010-9157-7.

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Lourenço, Paulo B. "A matrix formulation for the elastoplastic homogenisation of layered materials." Mechanics of Cohesive-frictional Materials 1, no. 3 (July 1996): 273–94. http://dx.doi.org/10.1002/(sici)1099-1484(199607)1:3<273::aid-cfm14>3.0.co;2-t.

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Ma, Huaifa, Jikai Zhou, and Guoping Liang. "Implicit Damping Iterative Algorithm to Solve Elastoplastic Static and Dynamic Equations." Journal of Applied Mathematics 2014 (2014): 1–11. http://dx.doi.org/10.1155/2014/486171.

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This paper presents an implicit damping iterative algorithm to simultaneously solve equilibrium equations, yield function, and plastic flow equations, without requiring an explicit expression of elastoplastic stiffness matrices and local iteration for “return mapping” stresses to the yield surface. In addition, a damping factor is introduced to improve the stiffness matrix conformation in the nonlinear iterative process. The incremental iterative scheme and whole amount iterative scheme are derived to solve the dynamical and static and dynamical elastoplastic problems. To validate the proposed algorithms, computation procedures are designed and the numerical tests are implemented. The computational results verify the correctness and reliability of the proposed implicit iteration algorithms.

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Alavoine, Axelle, Patrick Dangla, and Jean-Michel Pereira. "Numerical homogenization method in the modeling of gas hydrate bearing sediments." E3S Web of Conferences 205 (2020): 11002. http://dx.doi.org/10.1051/e3sconf/202020511002.

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The study of the mechanical behavior of gas hydrate bearing soils represents a major interest. The hydrate inclusions in sediments change their microstructure and their mechanical properties with it. We developed a numerical homogenization code in order to simulate the macro-mechanical response of a periodic unit-cell using local elastoplastic laws and complex geometries to define the microstructural components of the material. We applied it to a real image of fine-grained sediments containing gas hydrate veins. This technique allowed us to study the effect of an elastoplastic soil matrix and of different volume fractions of gas hydrates with complex shapes on the overall response of the material.

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Ning, Zhi Hua, Guan Liang Huo, Ren Huai Liu, Wei Lin Wu, and Jia Ming Xie. "Progressive Failure Analysis of Laminates with Embedded Wrinkle Defects Based on an Elastoplastic Damage Model." Materials 13, no. 10 (May 25, 2020): 2422. http://dx.doi.org/10.3390/ma13102422.

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Out-of-plane wrinkling has a significant influence on the mechanical performance of composite laminates. Numerical simulations were conducted to investigate the progressive failure behavior of fiber-reinforced composite laminates with out-of-plane wrinkle defects subjected to axial compression. To describe the material degradation, a three-dimensional elastoplastic damage model with four damage modes (i.e., fiber tensile failure, matrix failure, fiber kinking/splitting, and delamination) was developed based on the LaRC05 criterion. To improve the computational efficiency in searching for the fracture angle in the matrix failure analysis, a high-efficiency and robust modified algorithm that combines the golden section search method with an inverse interpolation based on an existing study is proposed. The elastoplastic damage model was implemented in the finite-element code Abaqus using a user-defined material subroutine in Abaqus/Explicit. The model was applied to the progressive failure analysis of IM7/8552 composite laminates with out-of-plane wrinkles subjected to axial compressive loading. The numerical results showed that the compressive strength prediction obtained by the elastoplastic damage model is more accurate than that derived with an elastic damage model. The present model can describe the nonlinearity of the laminate during the damage evolution and determine the correct damage locations, which are in good agreement with experimental observations. Furthermore, it was discovered that the plasticity effects should not be neglected in laminates with low wrinkle levels.

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33

Salzar, R. S., M. J. Pindera, and F. W. Barton. "Elastoplastic Analysis of Layered Metal Matrix Composite Cylinders—Part I: Theory." Journal of Pressure Vessel Technology 118, no. 1 (February 1, 1996): 13–20. http://dx.doi.org/10.1115/1.2842155.

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An exact elastic-plastic analytical solution for an arbitrarily laminated metal matrix composite tube subjected to axisymmetric thermo-mechanical and torsional loading is presented. First, exact solutions for transversely isotropic and monoclinic (off-axis) elastoplastic cylindrical shells are developed which are then reformulated in terms of the interfacial displacements as the fundamental unknowns by constructing a local stiffness matrix for the shell. Assembly of the local stiffness matrices into a global stiffness matrix in a particular manner ensures satisfaction of interfacial traction and displacement continuity conditions, as well as the external boundary conditions. Due to the lack of a general macroscopic constitutive theory for the elastic-plastic response of unidirectional metal matrix composites, the micromechanics method of cells model is employed to calculate the effective elastic-plastic properties of the individual layers used in determining the elements of the local and thus global stiffness matrices. The resulting system of equations is then solved using Mendelson’s iterative method of successive elastic solutions developed for elastoplastic boundary-value problems. Part I of the paper outlines the aforementioned solution strategy. In Part II (Salzar et al., 1996) this solution strategy is first validated by comparison with available closed-form solutions as well as with results obtained using the finite-element approach. Subsequently, examples are presented that illustrate the utility of the developed solution methodology in predicting the elastic-plastic response of arbitrarily laminated metal matrix composite tubes. In particular, optimization of the response of composite tubes under internal pressure is considered through the use of functionally graded architectures.

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34

Overaker, D. W., A. M. Cuitin˜o, and N. A. Langrana. "Elastoplastic Micromechanical Modeling of Two-Dimensional Irregular Convex and Nonconvex (Re-entrant) Hexagonal Foams." Journal of Applied Mechanics 65, no. 3 (September 1, 1998): 748–57. http://dx.doi.org/10.1115/1.2789119.

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A nonlinear micromechanical model for two-dimensional irregular hexagonal foams has been developed that allows for anisotropy in morphology and/or material. Based upon the orientation, cross section, length, and material properties of each strut, the resulting microlevel beam behavior within the unit cell determines its structural properties. Nonlinearity is introduced as coupled elastoplastic beam behavior, where the elastoplastic behavior of each beam is considered. The analytical. formulation for the stiffness matrix of the general elastoplastic unit cell is. found by considering compatibility and equilibrium of the unit cell. The structural properties of the elastoplastic unit cell are embedded in a continuum finite element model as material properties, thus capturing the microstructure of the foam in an accurate and efficient model. Structural nonlinearity is therefore directly linked to localized plasticity and its evolution at the microlevel. Elastic analyses investigated the degree of anisotropy in structural properties that was induced by various morphological changes. The differences in stress and deformation behavior between a regular hexagonal foam and a re-entrant foam were also demonstrated. Plastic analyses showed how structural nonlinearity could be explained by localized microstructural behavior. The advantage of this micromechanical model is that it allows a study of the effects of morphology and/or material anisotropies on the overall foam behavior.

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35

Jeulin, Dominique, Wei Li, and Martin Ostoja-Starzewski. "On the geodesic property of strain field patterns in elastoplastic composites." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 464, no. 2093 (February 12, 2008): 1217–27. http://dx.doi.org/10.1098/rspa.2007.0192.

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Under study is the geodesic (i.e. shortest path) character of strain fields occurring in inelastic response of matrix-inclusion composites. The spatially random morphology of composites is created by generating the inclusions centres through a sequential inhibition process based on a planar Poisson point field preventing any disc overlaps. Both phases (inclusions and matrix) are elastic–plastic hardening with the matrix being more compliant and weaker than the inclusions, and perfect bonding holding everywhere, so that the plastic flow occurs between the inclusions. A quantitative comparison of a response pattern obtained by computational mechanics with that found only by mathematical morphology indicates that (i) the regions of plastic flow are close (or even very close) to geodesics and (ii) a purely geometric (and orders of magnitude more rapid than by computational mechanics) assessment of these regions is possible.

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36

Mahmoodi, M. J., M. M. Aghdam, and M. Shakeri. "The effects of interfacial debonding on the elastoplastic response of unidirectional silicon carbide—titanium composites." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 224, no. 2 (February 1, 2010): 259–69. http://dx.doi.org/10.1243/09544062jmes1681.

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A three-dimensional micromechanics-based analytical model is presented to investigate the effects of initiation and propagation of interface damage on the elastoplastic behaviour of unidirectional SiC—Ti metal matrix composites (MMCs) subjected to off-axis loading. Temperature-dependent properties are considered for the matrix. Manufacturing process thermal residual stress (RS) is also included in the model. The selected representative volume element consists of r× c unit cells in which a quarter of the fibre is surrounded by matrix sub-cells. The constant compliance interface model is used to model interfacial debonding and the successive approximation method together with von Mises yield criterion is used to obtain elastoplastic behaviour. Dominance mode of damage including fibre fracture, interfacial debonding, and matrix yielding and ultimate tensile strength of the SiC—Ti MMC are predicted for various loading directions. The effects of thermal RS and fibre volume fraction on the stress—strain response of the SiC—Ti MMC are studied. Results revealed that for more realistic predictions, both interface damage and thermal RS effects should be considered in the analysis. The contribution of interfacial debonding and thermal RS in the overall behaviour of the material is also investigated. Comparison between results of the presented model shows very good agreement with the finite-element micromechanical analysis and experiment for various off-axis angles.

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37

Galli, M., J. Cugnoni, J. Botsis, and J. Janczak-Rusch. "Identification of the matrix elastoplastic properties in reinforced active brazing alloys." Composites Part A: Applied Science and Manufacturing 39, no. 6 (June 2008): 972–78. http://dx.doi.org/10.1016/j.compositesa.2008.03.007.

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38

Daining, Fang, and Zhou Chuwei. "Analysis of elastoplastic deformation in metal-matrix composites with particulate reinforcements." Acta Mechanica Sinica 13, no. 2 (May 1997): 153–60. http://dx.doi.org/10.1007/bf02487921.

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39

Park, Moon Shik, and Young W. Kwon. "Elastoplastic micromechanics model for multiscale analysis of metal matrix composite structures." Computers & Structures 123 (July 2013): 28–38. http://dx.doi.org/10.1016/j.compstruc.2013.03.009.

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40

Olsson, M., A. E. Giannakopoulos, and S. Suresh. "Elastoplastic analysis of thermal cycling: Ceramic particles in a metallic matrix." Journal of the Mechanics and Physics of Solids 43, no. 10 (October 1995): 1639–71. http://dx.doi.org/10.1016/0022-5096(95)00046-l.

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41

Sun, L. Z., H. T. Liu, and J. W. Ju. "Effect of particle cracking on elastoplastic behaviour of metal matrix composites." International Journal for Numerical Methods in Engineering 56, no. 14 (2003): 2183–98. http://dx.doi.org/10.1002/nme.659.

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42

Xiaozhou, Xia, Zhang Qing, Wang Hong, and Jiang Qun. "The Numerical Simulation of the Crack Elastoplastic Extension Based on the Extended Finite Element Method." Mathematical Problems in Engineering 2013 (2013): 1–13. http://dx.doi.org/10.1155/2013/157130.

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In the frame of the extended finite element method, the exponent disconnected function is introduced to reflect the discontinuous characteristic of crack and the crack tip enrichment function which is made of triangular basis function, and the linear polar radius function is adopted to describe the displacement field distribution of elastoplastic crack tip. Where, the linear polar radius function form is chosen to decrease the singularity characteristic induced by the plastic yield zone of crack tip, and the triangle basis function form is adopted to describe the displacement distribution character with the polar angle of crack tip. Based on the displacement model containing the above enrichment displacement function, the increment iterative form of elastoplastic extended finite element method is deduced by virtual work principle. For nonuniform hardening material such as concrete, in order to avoid the nonsymmetry characteristic of stiffness matrix induced by the non-associate flowing of plastic strain, the plastic flowing rule containing cross item based on the least energy dissipation principle is adopted. Finally, some numerical examples show that the elastoplastic X-FEM constructed in this paper is of validity.

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43

SOARES, DELFIM. "DYNAMIC ELASTOPLASTIC ANALYSES BY SMOOTHED POINT INTERPOLATION METHODS." International Journal of Computational Methods 10, no. 05 (May 2013): 1350030. http://dx.doi.org/10.1142/s0219876213500308.

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In this work, meshfree techniques based on weakened weak formulations are presented for the solution of dynamic problems considering elastoplastic materials. Nonlinear internal forces are computed taking into account edge-based, cell-based, and node-based smoothed domains. T-schemes are applied for the construction of the support domains of the approximating shape functions, which are here formulated based on the radial point interpolation method. The mass matrix is also computed considering smoothed domains and their quadrature points. For the time-domain solution of the nonlinear system of equations, the Newmark/Newton–Raphson method is adopted. Numerical results illustrate the accuracy and efficiency of the discussed methodologies.

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44

Wang, Yanchao, and ZhengMing Huang. "Analytical Micromechanics Models for Elastoplastic Behavior of Long Fibrous Composites: A Critical Review and Comparative Study." Materials 11, no. 10 (October 9, 2018): 1919. http://dx.doi.org/10.3390/ma11101919.

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Elasto-plastic models for composites can be classified into three categories in terms of a length scale, i.e., macro scale, meso scale, and micro scale (micromechanics) models. In general, a so-called multi-scale model is a combination of those at various length scales with a micromechanics one as the foundation. In this paper, a critical review is made for the elastoplastic models at the micro scale, and a comparative study is carried out on most popular analytical micromechanics models for the elastoplastic behavior of long fibrous composites subjected to a static load, meaning that creep and dynamic response are not concerned. Each model has been developed essentially following three steps, i.e., an elastic homogenization, a rule to define the yielding of a constituent phase, and a linearization for the elastoplastic response. The comparison is made for all of the three aspects. Effects of other issues, such as the stress field fluctuation induced by a high contrast heterogeneity, the stress concentration factors in the matrix, and the different approaches to a plastic Eshelby tensor, are addressed as well. Correlation of the predictions by different models with available experimental data is shown.

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45

Salzar, R. S., M. J. Pindera, and F. W. Barton. "Elastoplastic Analysis of Layered Metal Matrix Composite Cylinders—Part II: Numerical Results." Journal of Pressure Vessel Technology 118, no. 1 (February 1, 1996): 21–26. http://dx.doi.org/10.1115/1.2842157.

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Part I (Salzar et al, 1996) of the paper presented an exact elastic-plastic analytical solution for an arbitrarily laminated metal matrix composite tube subjected to axisymmetric thermo-mechanical and torsional loading. In Part II, this solution strategy is first validated by comparison with available closed-form solutions, as well as with results obtained using the finite-element approach. Subsequently, examples are presented that illustrate the utility of the developed solution methodology in predicting the elastic-plastic response of arbitrarily layered metal matrix composite tubes. In particular, optimization of the response of composite tubes under internal pressure is considered through the use of functionally graded architectures.

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46

Yu, N., M. V. S. Ravisankar, and Peter K. Liaw. "The Effective Elastoplastic Behaviour of Silicon Carbide Particulate Reinforced Metal Matrix Composites." Key Engineering Materials 104-107 (July 1995): 837–44. http://dx.doi.org/10.4028/www.scientific.net/kem.104-107.837.

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47

Li, Guoan, and P. Ponte Castan˜eda. "Variational Estimates for the Elastoplastic Response of Particle-Reinforced Metal-Matrix Composites." Applied Mechanics Reviews 47, no. 1S (January 1, 1994): S77—S94. http://dx.doi.org/10.1115/1.3122825.

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Ductile solids reinforced by aligned elastic spheroidal inclusions, with overall transversely isotropic symmetry, are examined analytically in this paper. Estimates for the effective constitutive behavior of this class of composite materials are obtained in terms of simple optimization problems for general loading conditions, as functions of the particle stiffness, concentration and shape. In particular, explicit expressions are obtained for the yield functions of the composites. The results apply to composites with inclusion shapes ranging from continuous fibers (or needles in the limit of vanishingly small concentration), to approximately spherical, to continuous flat layers (or disks). As an example, we investigate a model composite of the type used in many structural applications, namely, 2124 Al–SiC which is made of a ductile matrix phase (Al) reinforced by hard brittle particles (SiC). The predicted stress-strain responses for these composites are compared with available experimental measurements and numerical calculations. Thus, it is shown that the constitutive model developed in this work predicts fairly accurately the uniaxial tensile experiments of Christman et al. (1989). In addition, the constitutive model is in good agreement with the periodic finite-element calculations of Tvergaard (1990) and Hom (1992), also for uniaxial loading conditions. A significant advantage of the analytical model proposed herein is that it can provide the constitutive response of composites under arbitrary loading conditions, without requiring complex numerical computations.

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48

Cherevko, M. A. "Stability of a biperiodic system of circular fibers in an elastoplastic matrix." Soviet Applied Mechanics 22, no. 4 (April 1986): 316–22. http://dx.doi.org/10.1007/bf00886982.

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49

Guz', A. N., and D. A. Musaev. "Fracture of a unidirectional ribbon composite with an elastoplastic matrix in compression." Soviet Applied Mechanics 26, no. 5 (May 1990): 425–29. http://dx.doi.org/10.1007/bf00887256.

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Zhuk, A. V., A. Ya Gorenberg, V. A. Topolkaraev, and V. G. Oshmyan. "Microdeformational behavior of a dispersely filled composite material with an elastoplastic matrix." Mechanics of Composite Materials 23, no. 5 (1988): 533–38. http://dx.doi.org/10.1007/bf00605674.

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Journal articles on the topic 'Elastoplastic matrix'

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