Relevant bibliographies by topics / Anisotropic elastic materials

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
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Academic literature on the topic 'Anisotropic elastic materials'

Author: Grafiati
Published: 11 January 2025

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Journal articles on the topic "Anisotropic elastic materials"

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Shen, Xianda, Giuseppe Buscarnera, and Fengshou Zhang. "Anisotropic Breakage Mechanics for cemented granular materials." IOP Conference Series: Earth and Environmental Science 1330, no. 1 (May 1, 2024): 012049. http://dx.doi.org/10.1088/1755-1315/1330/1/012049.

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Abstract The anisotropy of granular geomaterials is sensitive to their fabric, which exhibits anisotropic mechanical properties as a function of deposition history, microscopic fabric, and loading paths. Here, a new fabric-enriched continuum breakage model is proposed to examine the relation between elastic and inelastic anisotropy in granular materials and cemented granular materials. A microstructure model is first implemented in the framework of fabric-enriched continuum breakage mechanics (F-CBM), where the anisotropic behaviour prior to yielding is introduced through a symmetric second-order fabric tensor embedded in the expression of the elastic energy potential. The anisotropic strain energy storage prior to grain crushing leads to the rotation and distortion of the yield surface of cemented granular materials. Parametric analyses are performed to assess the overall capability of the model to characterize the anisotropic inelastic processes in cemented granular. It is shown that the proposed model can accurately predict the strong correlation between anisotropic elasticity and breakage-damage processes in cemented granular materials. When damage involving the skeleton is the dominant inelastic process, the size of the elastic domain contracts and the material exhibits augmented brittleness with the disintegration of cement. While breakage processes are predicted to dominate the response of lightly cemented granular materials resulting in hardening behaviour. This work can be further extended to dynamically capture the anisotropic response of cemented granular materials with water-sensitive mineral constituents by accounting for the evolution of microstructural anisotropy.
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Kaldar-ool, A. K. B., R. N. Sandan, and A. Kh H. Mongush. "Elastic con- stants of cylindrically anisotropic material." Vestnik Tomskogo gosudarstvennogo arkhitekturno-stroitel'nogo universiteta. JOURNAL of Construction and Architecture 26, no. 3 (June 13, 2024): 158–69. http://dx.doi.org/10.31675/1607-1859-2024-26-3-158-169.

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This article examines new cylindrically anisotropic materials, including winding composite materials reinforced with various fiber, and a mathematical solution of the fourth-order partial differential equation with two variables in polar coordinates.Purpose: Ther aim of this work is to study anisotropy properties of composite materials with cylindrical anisotropy.Methodology/approach: Foe a solution, equations are translated into Cartesian coordinates, and stress functions are used as a sum of polynomials. As a result of the solution, two relations are obtained between the elastic constants in the main direction of anisotropy, i.e., elasticity parameters. These parameters are important to determine the mechanical properties of anisotropic material.Research findings: New high-strength composite materials are improved to apply in new technologies for building design and construction, high-strength structures are obtained using synthetic composite materials.Originality/value: Elastic constants for cylindrically anisotropic materials represent an innovative approach to determine the properties of composite materials with a flat anisotropy scheme, which make it easier and more efficient to determine elasticity parameters and strength in an arbitrary direction of coordinate axes.
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Krivosheina, Marina N. "Simulation of the stress state in barriers made of anisotropic materials." Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, no. 79 (2022): 89–99. http://dx.doi.org/10.17223/19988621/79/8.

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To study the properties of anisotropic materials, a mathematical model is proposed that accounts for the anisotropy of elastic and plastic properties, as well as the anisotropy of “thermal” and “cold” components of pressure. The model is applied in a threedimensional simulation of the deformation of an HCP-single-crystal barrier under impact loading by an aluminum impactor. The numerical simulation results are obtained using the dynamic finite element method with a difference scheme modified to account for the anisotropy of “cold” and “thermal” pressure components. To simulate the anisotropy of the stress deviator in the region of elastic deformations, generalized Hooke's law is used, while in the region of plastic deformations, the Mises-Hill plasticity function (Hill48) is used with account for the anisotropy of elastic properties and anisotropy of the Gruneisen coefficient. The experimentally and numerically obtained velocity profiles of the back surfaces of single-crystal zinc barriers during the spall fracture are compared with each other. When the impact loading direction coincides with [0001] axis, the elastic precursor is not observed on the velocity profile calculated numerically, which is the same for the one derived experimentally. This effect may be explained only with the use of anisotropic pressur.
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Ding, Chao, Jian Wang, Tianhan Liu, Hongbo Qin, Daoguo Yang, and Guoqi Zhang. "The Mechanical Properties and Elastic Anisotropy of η′-Cu6Sn5 and Cu3Sn Intermetallic Compounds." Crystals 11, no. 12 (December 14, 2021): 1562. http://dx.doi.org/10.3390/cryst11121562.

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Full intermetallic compound (IMC) solder joints present fascinating advantages in high-temperature applications. In this study, the mechanical properties and elastic anisotropy of η′-Cu6Sn5 and Cu3Sn intermetallic compounds were investigated using first-principles calculations. The values of single-crystal elastic constants, the elastic (E), shear (G), and bulk (B) moduli, and Poisson’s ratio (ν) were identified. In addition, the two values of G/B and ν indicated that the two IMCs were ductile materials. The elastic anisotropy of η′-Cu6Sn5 was found to be higher than Cu3Sn by calculating the universal anisotropic index. Furthermore, an interesting discovery was that the above two types of monocrystalline IMC exhibited mechanical anisotropic behavior. Specifically, the anisotropic degree of E and B complied with the following relationship: η′-Cu6Sn5 > Cu3Sn; however, the relationship was Cu3Sn > η′-Cu6Sn5 for the G. It is noted that the anisotropic degree of E and G was similar for the two IMCs. In addition, the anisotropy of the B was higher than the G and E, respectively, for η′-Cu6Sn5; however, in the case of Cu3Sn, the anisotropic degree of B, G, and E was similar.
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Gurvich, Mark R. "On Characterization of Anisotropic Elastomeric Materials for Structural Analysis." Rubber Chemistry and Technology 77, no. 1 (March 1, 2004): 115–30. http://dx.doi.org/10.5254/1.3547805.

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Abstract Existing efforts in constitutive modeling of elastomers are primarily focused on isotropic materials. On the other hand, anisotropic elastic models were successfully developed for traditional composites with relatively small strains, where geometrical non-linearity of deformation may be ignored. There are, however, certain materials where neither large deformation and incompressibility nor anisotropy of material stiffness may be neglected. This study proposes a general constitutive approach to model both hyperelasticity (including incompressibility) and full anisotropy of material deformation in structural analysis. According to the proposed approach, an original hyperelastic anisotropic body is modeled as a combination of two hypothetical components (hyperelastic isotropic and elastic anisotropic ones). The proposed approach shows simplicity and convenience of practical application along with high accuracy of analysis. It may be easily implemented in computational analysis of 2- and 3-D problems using commercially available FEA codes without additional programming efforts. Analytical and computational implementation of the approach is considered on representative examples of elastomeric structures and rubber-based composites. Analytical solutions are shown for examples of biaxial tension of composites and inflation of a toroidal anisotropic tube. FEA solutions are discussed on examples of an inflated anisotropic sphere and non-uniform deformation of a composite layer. Obtained results are discussed to emphasize benefits of the proposed approach. Finally, a methodology to evaluate material parameters using corresponding test results is considered according to the proposed approach.
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CLEMENTS, DAVID L. "ON AN ANTIPLANE CRACK PROBLEM FOR FUNCTIONALLY GRADED ELASTIC MATERIALS." ANZIAM Journal 52, no. 1 (July 2010): 69–86. http://dx.doi.org/10.1017/s1446181111000551.

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AbstractThis paper examines an antiplane crack problem for a functionally graded anisotropic elastic material in which the elastic moduli vary quadratically with the spatial coordinates. A solution to the crack problem is obtained in terms of a pair of integral equations. An iterative solution to the integral equations is used to examine the effect of the anisotropy and varying elastic moduli on the crack tip stress intensity factors and the crack displacement.
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Sokolova, Marina Yu, and Dmitriy V. Khristich. "On the inversion of nonlinear constitutive relations for hyperelastic anisotropic materials." Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, no. 85 (2023): 157–67. https://doi.org/10.17223/19988621/85/12.

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The polynomial elastic potentials represented by the power functions of their arguments are considered for hyperelastic anisotropic materials. The conditions for the elastic free energy W(e) and Gibbs potential V(T) in isothermal processes are assigned so that the nonlinear constitutive relations can be inverted. For polynomial elastic potentials, whose coefficients are dependent on elastic constants of the second and third orders, a dependence between the coefficients of the potential W(e) (elasticity constants) and the coefficients of the potential V(T) (elastic compliances) is obtained. The relationships between the elastic constants and the coefficients of elastic compliance of the second and third orders for an isotropic material and for an anisotropic material corresponding to a cubic crystallographic system are found. For a copper crystal belonging to the cubic system, uniaxial loading along one of the anisotropy axes is considered. The stress-strain dependence obtained from direct and inverted relations coincides in the vicinity of zero. The stress-strain dependence calculated using direct and inverted relations for copper crystals has made it possible to determine the strain range in which the results of calculations using direct and inverted relations differ by less than 5%.
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Felippa, Carlos A., and Eugenio On˜ate. "Volumetric Constraint Models for Anisotropic Elastic Solids." Journal of Applied Mechanics 71, no. 5 (September 1, 2004): 731–34. http://dx.doi.org/10.1115/1.1748318.

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We study three “incompressibility flavors” of linearly elastic anisotropic solids that exhibit volumetric constraints: isochoric, hydroisochoric, and rigidtropic. An isochoric material deforms without volume change under any stress system. An hydroisochoric material does so under hydrostatic stress. A rigidtropic material undergoes zero deformations under a certain stress pattern. Whereas the three models coalesce for isotropic materials, important differences appear for anisotropic behavior. We find that isochoric and hydroisochoric models under certain conditions may be hampered by unstable physical behavior. Rigidtropic models can represent semistable physical materials of arbitrary anisotropy while including isochoric and hydroisochoric behavior as special cases.
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Yu, Jing, Yongmei Zhang, Yuhong Zhao, and Yue Ma. "Anisotropies in Elasticity, Sound Velocity, and Minimum Thermal Conductivity of Low Borides VxBy Compounds." Metals 11, no. 4 (April 1, 2021): 577. http://dx.doi.org/10.3390/met11040577.

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Anisotropies in the elasticity, sound velocity, and minimum thermal conductivity of low borides VB, V5B6, V3B4, and V2B3 are discussed using the first-principles calculations. The various elastic anisotropic indexes (AU, Acomp, and Ashear), three-dimensional (3D) surface contours, and their planar projections among different crystallographic planes of bulk modulus, shear modulus, and Young’s modulus are used to characterize elastic anisotropy. The bulk, shear, and Young’s moduli all show relatively strong degrees of anisotropy. With increased B content, the degree of anisotropy of the bulk modulus increases while those of the shear modulus and Young’s modulus decrease. The anisotropies of the sound velocity in the different planes show obvious differences. Meanwhile, the minimum thermal conductivity shows little dependence on crystallographic direction.
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Vladimirov, Ivaylo N., and Stefanie Reese. "Prediction of Springback in Unconstrained Bending by a Model for Evolving Elastic and Plastic Anisotropy." Key Engineering Materials 554-557 (June 2013): 2330–37. http://dx.doi.org/10.4028/www.scientific.net/kem.554-557.2330.

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Sheet metals exhibit anisotropic plastic behavior due to the large plastic deformations that occur during the rolling of the sheet and which induce texture and are responsible for the initial anisotropy. There exist various possibilities to introduce plastic anisotropy into the finite element modelling of sheet metal forming. The initial yield anisotropy can be incorporated either through an anisotropic yield surface or directly by means of a crystallographic texture model. Here, one basically differentiates between empirical and phenomenological anisotropic yield function equations, where the anisotropy coefficients can be obtained from mechanical tests, and texture-based models the coefficients of which are directly determined based on experimentally obtained orientation distributions. Another type of anisotropy that can be usually found in anisotropic materials is the elastic anisotropy. In metal plasticity one often considers the effect of elastic anisotropy significantly smaller than the effect of plastic anisotropy. Consequently, elastic isotropic expressions are often used for elastic stored energy functions with anisotropic yield criteria. However, the influence of elastic anisotropy in the elastoplastic behavior can be very important especially during elastic recovery processes during unloading after forming and springback. This research focuses, therefore, on the study of the influence of elastic anisotropy on the amount of springback in bending processes such as e.g. unconstrained bending. We discuss a finite strain material model for evolving elastic and plastic anisotropy combining nonlinear isotropic and kinematic hardening. The evolution of elastic anisotropy is described by representing the Helmholtz free energy as a function of a family of evolving structure tensors. In addition, plastic anisotropy is modelled via the dependence of the yield surface on the same family of structure tensors. Exploiting the dissipation inequality leads to the interesting result that all tensor-valued internal variables are symmetric. Thus, the integration of the evolution equations can be efficiently performed by means of an algorithm that automatically retains the symmetry of the internal variables in every time step. The material model has been implemented as a user material subroutine UMAT into the commercial finite element software ABAQUS/Standard and has been applied to the simulation of springback of unconstrained bending.
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Dissertations / Theses on the topic "Anisotropic elastic materials"

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Guastavino, Rémi. "Elastic and acoustic characterisation of anisotropic porous materials." Doctoral thesis, KTH, MWL Marcus Wallenberg Laboratoriet, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4782.

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For an accurate prediction of the low and medium frequency surface vibration and sound radiation behaviour of porous materials, there is a need to improve the means of estimating their elastic and acoustic properties. The underlying reasons for this are many and of varying origin, one prominent being a poor knowledge of the geometric anisotropy of the cell microstructure in the manufactured porous materials. Another one being, the characteristic feature of such materials i.e. that their density, elasticity and dissipative properties are highly dependent upon the manufacturing process techniques and settings used. In the case of free form moulding, the geometry of the cells and the dimensions of the struts are influenced by the rise and injection flow directions and also by the effect of gravity, elongating the cells. In addition the influence of the boundaries of the mould also introduces variations in the properties of the foam block produced. Despite these complications, the need to predict and, in the end, optimise the acoustic performance of these materials, either as isolated components or as part of a multi-layer arrangement, is growing. It is driven by the increasing demands for an acoustic performance in balance with the costs, a focus which serves to increase the need for modelling their behaviour in general and the above mentioned, inherent, anisotropy in particular. The current work is focussing on the experimental part of the characterisation of the material properties which is needed in order to correctly represent the anisotropy in numerical simulation models. Then an hybrid approach based on a combination of experimental deformation, strain field mapping, flow resistivity measurement and physically based porous material acoustic Finite Element (FE) simulation modelling is described. This inverse estimation linked with high quality measurements is crucial for the determination of the anisotropic coefficients of the porous materials is illustrated here for soft foam and fibrous wool materials.
QC 20100729
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Guastavino, Rémi. "Elastic and acoustic characterisation of anisotropic porous materials /." Stockholm : Department of Aeronautical and Vehicle Engineering, Royal Institute of Technology, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4782.

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Gregory, P. W. "Finite elastic-plastic deformations of highly anisotropic materials." Thesis, University of Nottingham, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.282601.

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Son, Seyul. "Nonlinear Electromechanical Deformation of Isotropic and Anisotropic Electro-Elastic Materials." Diss., Virginia Tech, 2011. http://hdl.handle.net/10919/28587.

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Electro-active polymers (EAPs) have emerged as a new class of active materials, which produce large deformations in response to an electric stimulus. EAPs have attractive characteristics of being lightweight, inexpensive, stretchable, and flexible. Additionally, EAPs are conformable, and their properties can be tailored to satisfy a broad range of requirements. These advantages have enabled many target applications in actuation and sensing. A general constitutive formulation for isotropic and anisotropic electro-active materials is developed using continuum mechanics framework and invariant theory. Based on the constitutive law, electromechanical stability of the electro-elastic materials is investigated using convexity and polyconvexity conditions. Implementation of the electro-active material model into a commercial finite element software (ABAQUS 6.9.1, PAWTUCKET, RI, USA) is presented. Several boundary and initial value problems are solved to investigate the actuation and sensing response of isotropic and anisotropic dielectric elastomers (DEs) subject to combined mechanical and electrical loads. The numerical response is compared with experimental results to validate the theoretical model. For the constitutive formulation of the electro-elastic materials, invariants for the coupling between two families of electro-active fibers (or particles) and the applied electric field are introduced. The effect of the orientation of the electro-active fibers and the electric field on the electromechanical coupling is investigated under equibiaxial extension. Advantage of the constitutive formulation derived in this research is that the electromechanical coupling can be illustrated easily by choosing invariants for the deformation gradient tensor, the electro-active fibers, and the electric field. For the electromechanical stability, it is shown that the stability can be controlled by tuning the material properties and the orientation of the electro-active fibers. The electromechanical stability condition is useful to build a stable free energy function and prevent the instabilities (wrinkling and electric breakdown) for the electro-elastic materials. The invariant-based constitutive formulation for the electro-elastic materials including the isotropic and anisotropic DEs is implemented into a user subroutine (UMAT in ABAQUS: user defined material) by using multiplicative decomposition of the deformation gradient and the applicability of the UMAT is shown by simulating a complicated electromechanical coupling problem in ABAQUS/CAE. Additionally, the static and dynamic sensing and actuation response of tubular DE transducers (silicone and polyacrylate materials) with respect to combined electrical and mechanical stimuli is obtained experimentally. It is shown that the silicone samples have better dynamic and static sensing characteristics than the polyacrylate. The theoretical modeling accords well with the experimental results.
Ph. D.
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Sun, Miao. "Optimal Recovery of Elastic Properties for Anisotropic Materials through Ultrasonic Measurements." Fogler Library, University of Maine, 2002. http://www.library.umaine.edu/theses/pdf/SunM2002.pdf.

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Towfighi, Saeed. "Elastic wave propagation in anisotropic pipes in circumferential direction: An analytical study." Diss., The University of Arizona, 2001. http://hdl.handle.net/10150/290234.

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Detection of stress corrosion cracks and other types of deterioration in pipes can be performed by producing elastic Lamb waves in the circumferential direction. Availability of Fiber Composite materials that have been utilized to retrofit the pipeline networks necessitates development of new theoretical procedures to analyze the behavior of anisotropic materials including Fiber Composites. The study of propagation of elastic waves in the circumferential direction for anisotropic materials primarily requires the derivation of dispersion curves. To obtain the dispersion curves, governing differential equations must be solved and the boundary conditions must be satisfied. Since differential equations for anisotropic materials are coupled, a general new analytical model is introduced which is capable of solving the coupled differential equations and removes the obstacle of decoupling which might not be always possible. To verify the validity of the new technique the results have been compared with the available data for isotropic materials and have matched satisfactorily. The proposed method can be extended to investigate pipe walls composed of several layers of isotropic and anisotropic materials and for problems with other types of geometry and boundary conditions.
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Rourk, Dave. "Geometric and material nonlinear effects in elastic-plastic and failure analyses of anisotropic laminated structures." Diss., Virginia Polytechnic Institute and State University, 1986. http://hdl.handle.net/10919/76492.

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In this study, an analytical procedure to predict the strength and failure of laminated composite structures under monotonically increasing static loads is presented. A degenerated 3-D shell finite element that includes linear elastic and plastic material behavior with full geometric nonlinearity is used to determine stresses at selected points (Gauss quadrature points in each element) of the structure. Material stiffness (constitutive) matrices are evaluated at each Gauss point, in each lamina and in each element, and when the computed stress state violates a user selected failure criterion, the material stiffness matrix at the failed Gauss point is reduced. The reduction procedure involves setting the material stiffnesses to unity. Examples of isotropic, orthotropic, anisotropic and composite laminates are presented to illustrate the validity of the procedure developed and to evaluate various failure theories. Maximum stress, modified Hills (Mathers), Tsai-Wu (F₁₂ = 0), and Hashin's failure criteria are included. The results indicate that for large length-to-thickness ratios, the geometric nonlinear effect should be incorporated for both isotropic and anisotropic structures. The nonlinear material model influences the behavior of isotropic structures with small length-to-thickness ratios, while having nearly no effect at all on laminated anisotropic structures. Of the four failure theories compared, each predicts failure at nearly the same load levels and locations. Hashin's criterion is particularly noteworthy in that the mode is also predicted.
Ph. D.
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Mah, Marko. "Experimental determination of the elastic coefficients of anisotropic materials with the slant-stack method." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape8/PQDD_0017/MQ47063.pdf.

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Le, Menestrel Maxime. "Finite element modeling of the elastic properties of isotropic and anisotropic synthetic foams." Thesis, Georgia Institute of Technology, 2002. http://hdl.handle.net/1853/16038.

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Xie, Longtao [Verfasser]. "Three-dimensional Green’s function and its derivatives for anisotropic elastic, piezoelectric and magnetoelectroelastic materials / Longtao Xie." Siegen : Universitätsbibliothek der Universität Siegen, 2016. http://d-nb.info/1112326189/34.

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Books on the topic "Anisotropic elastic materials"

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Hwu, Chyanbin. Anisotropic elastic plates. New York: Springer, 2010.

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C, Xi Z., ed. Elastic waves in anisotropic laminates. Boca Raton, USA: CRC Press, 2001.

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C, Marques Elizabeth R., Lee Samson S, Lewis Research Center, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch., eds. Wave propagation in anisotropic medium due to an oscillatory point source with application to unidirectional composites. [Washington, D.C.]: National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1986.

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H, Williams James. Wave propagation in anisotropic medium due to an oscillatory point source with application to unidirectional composites. [Washington, D.C.]: National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1986.

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Librescu, Liviu. The behavior of elastic anisotropic laminated composite flat structures: Technical report on the research activity sponsored by NASA Langley Research Center through grant NAG 1-749, 1 July 1987 - 30 June 1990. [Washington, DC: National Aeronautics and Space Administration, 1990.

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Apel, Nikolas. Approaches to the description of anisotropic material behaviour at finite elastic and plastic deformations: Theory and numerics. Stuttgart: Inst. für Mechanik (Bauwesen) der Univ., 2004.

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Center, Langley Research, ed. Determination of stress coefficient terms in cracked solids for monoclinic materials with plane symmetry at x₃=0. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1998.

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Miller, James G. An approach for relating the results of quantitative nondestructive evaluation to intrinsic properties of high-performance materials: Semiannual progress report : September 15, 1989 - March 14, 1990. St. Louis, Mo: Washington University, Dept. of Physics, Laboratory for Ultrasonics, 1990.

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Hwu, Chyanbin. Anisotropic Elastic Plates. Springer, 2011.

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Hwu, Chyanbin. Anisotropic Elastic Plates. Springer, 2014.

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Book chapters on the topic "Anisotropic elastic materials"

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Hwu, Chyanbin. "Piezoelectric Materials." In Anisotropic Elastic Plates, 369–410. Boston, MA: Springer US, 2010. http://dx.doi.org/10.1007/978-1-4419-5915-7_11.

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Gay, Daniel. "Anisotropic Elastic Medium." In Composite Materials, 219–23. 4th ed. Boca Raton: CRC Press, 2022. http://dx.doi.org/10.1201/9781003195788-11.

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Hwu, Chyanbin. "Linear Anisotropic Elastic Materials." In Anisotropic Elastic Plates, 1–27. Boston, MA: Springer US, 2010. http://dx.doi.org/10.1007/978-1-4419-5915-7_1.

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Hwu, Chyanbin. "Piezoelectric and Magneto-Electro-Elastic Materials." In Anisotropic Elasticity with Matlab, 265–87. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-66676-7_11.

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Blanco, C., J. M. Martínez-Esnaola, and C. Atkinson. "Kinked cracks in anisotropic elastic materials." In Recent Advances in Fracture Mechanics, 387–407. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-017-2854-6_20.

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Cowin, Stephen C. "Kinematics and Mechanics of Large Elastic Deformations." In Continuum Mechanics of Anisotropic Materials, 293–333. New York, NY: Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-5025-2_11.

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Boulanger, Ph, and M. Hayes. "Inhomogeneous Plane Waves in Anisotropic Elastic Materials." In Solid Mechanics and Its Applications, 431–36. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-015-8494-4_59.

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Ericksen, J. L., and R. S. Rivlin. "Large Elastic Deformations of Homogeneous Anisotropic Materials." In Collected Papers of R.S. Rivlin, 467–87. New York, NY: Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4612-2416-7_32.

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Argatov, Ivan, and Gennady Mishuris. "Indentation of an Anisotropic Elastic Half-Space." In Indentation Testing of Biological Materials, 323–71. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-78533-2_12.

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Ganczarski, Artur W., and Jacek J. Skrzypek. "Termination of Elastic Range of Pressure Insensitive Materials—Isotropic and Anisotropic Initial Yield Criteria." In Mechanics of Anisotropic Materials, 159–208. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-17160-9_5.

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Conference papers on the topic "Anisotropic elastic materials"

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Peterson, Michael “Mick”, and Miao Sun. "Stochastic Properties of Anisotropic Materials." In ASME 2001 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/imece2001/nde-25813.

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Abstract Extensive research has been directed toward the development of methods for the optimal recovery of elastic properties from ultrasonic measurements. For a number of applications both the elastic and damping characteristics of the materials are required in design. The use of the optimal recovery does present challenges when applied to either man-made or natural anisotropic materials. In many cases manufacturing variability results in a need for a statistical description of the elastic and damping properties. In addition, errors in material lay-up or growth patterns may result in mis-orientation of the principle materials axes with respect to the geometrical axes. In this work, an examples is shown that demonstrates the recovery of the elastic properties of a natural material when stochastic properties are required. Statistical descriptions of the materials properties are obtained for wood of two different types of material. Results are shown assuming a nominally orthotropic orientation, although the existence of curvilinear coordinates is acknowledged.
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Gaith, Mohamed S., and I. Alhayek. "The Measurement of Overall Elastic Stiffness and Bulk Modulus in Anisotropic Materials: Semiconductors." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-10097.

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In this study, the correlation between macroscopic and microscopic properties of the II-IV semiconductor compounds ZnX (X = S, Se, Te) is investigated. Based on constructing orthonormal tensor basis elements using the form-invariant expressions, the elastic stiffness for cubic system materials is decomposed into two parts; isotropic (two terms) and anisotropic parts. A scale for measuring the overall elastic stiffness of these compounds is introduced and its correlation with the calculated bulk modulus and lattice constants is analyzed. The overall elastic stiffness is calculated and found to be directly proportional to bulk modulus and inversely proportional to lattice constants. A scale quantitative comparison of the contribution of the anisotropy to the elastic stiffness and to measure the degree of anisotropy in an anisotropic material is proposed using the Norm Ratio Criteria (NRC). It is found that ZnS is the nearest to isotropy (or least anisotropic) while ZnTe is the least isotropic (or nearest to anisotropic) among these compounds. The norm and norm ratios are found to be very useful for selecting suitable materials for electro-optic devices, transducers, modulators, acousto-optic devices.
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Li, Chunyu, and Tsu-Wei Chou. "Anisotropic Elastic Properties of Carbon Nanotubes." In 45th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics & Materials Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2004. http://dx.doi.org/10.2514/6.2004-1781.

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4

Stewart, Calvin M., and Ali P. Gordon. "Anisotropic Creep Damage and Elastic Damage of Notched Directionally Solidified Materials." In ASME 2011 Turbo Expo: Turbine Technical Conference and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/gt2011-46476.

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Drives to improve gas turbines efficiency have lead to an increase in firing temperatures. This increase in exhaust temperature has a negative impact upon turbine blade life. Both engineers and material scientists have produced methods to improve turbine blade life under these conditions. Cooling holes have become commonplace and use relatively cool gas to create a lower temperature barrier around a turbine blade. These cooling holes creating internal and external surfaces; a common sight of crack initiation. Directionally-solidified (DS) turbine blades have also become commonplace. These turbine blades exhibit a transversely-isotropic grain structure that improves creep strength in a desired direction. To model a component under such conditions, anisotropic constitutive models are required. In this paper, an anisotropic tertiary creep damage constitutive model for transversely-isotropic materials is given. The influence of creep-damage on general linear elasticity (elastic damage) is described by a modified Hooke’s compliance tensor. Finite element simulations of a V-notched tensile specimen are conducted to replicate a crack initiation site. A discussion on stress triaxiality, stress redistribution, and damage distribution due to anisotropy is provided.
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5

Gaith, Mohamed S., and Imad Alhayek. "On the Measurement of the Overall Elastic Stiffness and Bulk Modulus in Anisotropic Materials: Semiconductors." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86559.

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In this study, the correlation between macroscopic and microscopic properties of the II-IV semiconductor compounds CdX (X = S, Se, Te) is investigated. Based on constructing orthonormal tensor basis elements using the form-invariant expressions, the elastic stiffness for cubic system materials is decomposed into two parts; isotropic (two terms) and anisotropic parts. A new scale for measuring the overall elastic stiffness of these compounds is introduced and its correlation with the calculated bulk modulus and lattice constants is analyzed. The overall elastic stiffness is calculated and found to be directly proportional to bulk modulus and inversely proportional to lattice constants. A scale quantitative comparison of the contribution of the anisotropy to the elastic stiffness and to measure the anisotropy degree in an anisotropic material is proposed using the Norm Ratio Criteria (NRC). It is found that CdS is the nearest to isotropy (or least anisotropic) while CdTe is the least near to isotropy (or nearest to anisotropic) among these compounds. The norm and norm ratios are found to be very useful for selecting suitable materials for electro-optic devices, transducers, modulators, acousto-optic devices.
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6

Gaith, Mohamed, and Imad Alhayek. "The Calculation of Stiffness for Semiconductor Components." In ASME 2009 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. ASMEDC, 2009. http://dx.doi.org/10.1115/smasis2009-1210.

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In this study, the correlation between macroscopic and microscopic properties of the II-IV semiconductor compounds CdX (X = S, Se, Te) is investigated. Based on constructing orthonormal tensor basis elements using the form-invariant expressions, the elastic stiffness for cubic system materials is decomposed into two parts; isotropic (two terms) and anisotropic parts. A new scale for measuring the overall elastic stiffness of these compounds is introduced and its correlation with the calculated bulk modulus and lattice constants is analyzed. The overall elastic stiffness is calculated and found to be directly proportional to bulk modulus and inversely proportional to lattice constants. A scale quantitative comparison of the contribution of the anisotropy to the elastic stiffness and to measure the anisotropy degree in an anisotropic material is proposed using the Norm Ratio Criteria (NRC). It is found that CdS is the nearest to isotropy (or least anisotropic) while CdTe is the least near to isotropy (or nearest to anisotropic) among these compounds. The norm and norm ratios are found to be very useful for selecting suitable materials for electro-optic devices, transducers, modulators, acousto-optic devices.
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7

Hirose, S. "Elastic wave scattering by various defects in anisotropic materials." In 26th Annual review of progress in quantitative nondestrictive evaluation. AIP, 2000. http://dx.doi.org/10.1063/1.1306040.

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Volovoi, Vitali, Dewey Hodges, Victor Berdichevsky, Vladislav Sutyrin, Vitali Volovoi, Dewey Hodges, Victor Berdichevsky, and Vladislav Sutyrin. "Construction of dynamical theories for elastic anisotropic beams." In 38th Structures, Structural Dynamics, and Materials Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1997. http://dx.doi.org/10.2514/6.1997-1158.

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9

Cowin, Stephen C. "The Anisotropic Elastic Constants of Cancellous Bone." In ASME 2000 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/imece2000-2696.

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Abstract A method of data analysis for a set of elastic constant measurements is applied to an excellent data base for cancellous bone. For these materials the identification of the type of elastic symmetry is complicated by the variable composition of the material. The data analysis method permits the identification of the type of elastic symmetry to be accomplished independent of the examination of the variable composition. This method of analysis may be applied to any set of elastic constant measurements, but is illustrated here by application to an extraordinary data base of cancellous bone elastic constants. The solid volume fraction or bulk density is the compositional variable for the elastic constants of these natural materials. The final results are the solid volume fraction dependent orthotropic Hooke’s law for cancellous bone.
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10

O’Nora, Nathan, and William D. Day. "Expansion of Neuber Rule to 3-D Stress States for Anisotropic Materials." In ASME Turbo Expo 2023: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2023. http://dx.doi.org/10.1115/gt2023-104031.

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Abstract It is often necessary to use finite element analysis (FEA) to understand the stresses experienced by a component when evaluating gas turbine component life. It is necessary to understand the elastic-plastic behavior of the materials for these components, but it may be impractical or cost prohibitive to simulate the inelastic behavior-plastic in FEA due to the much larger computation time. Neuber rule was developed to allow for correlating elastic results to elastic-plastic cases, however, doing so relies upon the use of an effective stress and effective strain calculation in order to be applied. While this works well in isotropic materials, for many anisotropic materials this is poorly suited due to the differences in anisotropy between the failure surfaces, yield surfaces, and plastic flow. This paper demonstrates the expansion of the Neuber rule expanded to 3-D stress states and 3-D anisotropic material models by applying the rule for each component of the stress-strain relationship. A hydrostatic stress requirement is also used to ensure the resulting elastic-plastic stress-strain behavior is representative of the elastic case used to generate the stress-state. The method is applied to loadings of conventionally cast (CC), directionally-solidified (DS), and single crystal (SX) materials for both simple and complex loadings, utilizing an anisotropic visco-plastic model for the elastic-plastic behavior. Uniaxial results and complex isotropic loadings are compared to the 1-D Neuber rule to ensure that the 3-D expansion simplifies to the 1-D case where expected.
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Reports on the topic "Anisotropic elastic materials"

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Mehrabadi, M. M., S. C. Cowin, and C. O. Horgan. Strain Energy Density Bounds for Linear Anisotropic Elastic Materials. Fort Belvoir, VA: Defense Technical Information Center, January 1993. http://dx.doi.org/10.21236/ada271050.

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