Relevant bibliographies by topics / NONLINEAR STRAINS

Academic literature on the topic 'NONLINEAR STRAINS'

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Published: 11 September 2023

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Journal articles on the topic "NONLINEAR STRAINS"

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Zhu, Haihui, Yanli Lin, Kelin Chen, and Zhubin He. "Forming Limit Analysis of Thin-Walled Extruded Aluminum Alloy Tubes under Nonlinear Loading Paths Using an Improved M-K Model." Materials 16, no. 4 (February 16, 2023): 1647. http://dx.doi.org/10.3390/ma16041647.

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To meet the requirement of lighter weight and better performance in tube hydroforming, one of the most important tasks is to accurately predict the forming limit of thin-walled tubes under nonlinear loading paths. This work established the M-K+DF2012 model, a combination of the M-K model and the DF2012 ductile fracture criterion, for the forming limit prediction of thin-walled tubes under nonlinear loading paths. In this model, the failure of the groove is determined by the DF2012 criterion, and the corresponding strains in the uniform region are the limit strains. The limit strains of an AA6061 aluminum alloy tube under a set of linear loading paths and two typical nonlinear loading paths were tested. Parameter values of the M-K+DF2012 model for the tube were determined based on the experimental limit strains under linear loading paths, and the limit strains under the two nonlinear loading paths were predicted. Then the strain-based forming limit diagram (ε-FLD) and the polar effective plastic strain FLD (PEPS-FLD) of the tube under different pre-strains were predicted and discussed. The results show that the limit strains of the tube are obviously path-dependent, and the M-K+DF2012 model can reasonably capture the limit strains of the tube under both linear and nonlinear loading paths. The predicted ε-FLD shows a strong dependence on the pre-strain, while the predicted PEPS-FLD is weakly strain path-dependent and almost path-independent on the right-hand side for the AA6061 tube.
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Morgan, Elise F., Oscar C. Yeh, Wesley C. Chang, and Tony M. Keaveny. "Nonlinear Behavior of Trabecular Bone at Small Strains." Journal of Biomechanical Engineering 123, no. 1 (October 16, 2000): 1–9. http://dx.doi.org/10.1115/1.1338122.

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Study of the behavior of trabecular bone at strains below 0.40 percent is of clinical and biomechanical importance. The goal of this work was to characterize, with respect to anatomic site, loading mode, and apparent density, the subtle concave downward stress–strain nonlinearity that has been observed recently for trabecular bone at these strains. Using protocols designed to minimize end-artifacts, 155 cylindrical cores from human vertebrae, proximal tibiae, proximal femora, and bovine proximal tibiae were mechanically tested to yield at 0.50 percent strain per second in tension or compression. The nonlinearity was quantified by the reduction in tangent modulus at 0.20 percent and 0.40 percent strain as compared to the initial modulus. For the pooled data, the mean±SD percentage reduction in tangent modulus at 0.20 percent strain was 9.07±3.24 percent in compression and 13.8±4.79 percent in tension. At 0.40 percent strain, these values were 23.5±5.71 and 35.7±7.10 percent, respectively. The magnitude of the nonlinearity depended on both anatomic site p<0.001 and loading mode p<0.001, and in tension was positively correlated with density. Calculated values of elastic modulus and yield properties depended on the strain range chosen to define modulus via a linear curve fit p<0.005. Mean percent differences in 0.20 percent offset yield strains were as large as 10.65 percent for some human sites. These results establish that trabecular bone exhibits nonlinearity at low strains, and that this behavior can confound intersite comparisons of mechanical properties. A nonlinear characterization of the small strain behavior of trabecular bone was introduced to characterize the initial stress–strain behavior more thoroughly.
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Guo, Minrui, Xiangwen Li, and Weizhong Xiao. "Combined Effects of the Tire Loading Velocity and the Nonlinear Cross-Anisotropic Properties of Granular Base on Critical Pavement Responses." Science of Advanced Materials 14, no. 1 (January 1, 2022): 11–21. http://dx.doi.org/10.1166/sam.2022.4187.

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The primary purpose of the research is to explore the combined effects of the tire loading velocity (LV) and the nonlinear cross-anisotropic properties of granular base on critical pavement responses. An accurate finite element (FE) model of the pavement structure is constructed using ABAQUS software after verification. The FE model is applied for quantitative research by changing the nonlinear cross-anisotropic characteristic parameters under different LVs, which is done to determine the relationship between the critical strain responses and LVs under nonlinear cross-anisotropic properties. The transverse tensile strain is found to be exerted on the pavement for a longer amount of time than the longitudinal tensile strain. It also found that the critical longitudinal, transverse, and shear strains can be described as having exponential relationships. The exponent coefficients indicate that the influences of the LV on these three types of strains are analogical. In other words, with the increase of tire velocity, the critical strains decay exponentially. The LV is found to have a limited impact on the compressive strain under the same nonlinear cross-anisotropic properties. However, the effects of nonlinear cross-anisotropic properties on the compressive strain at the top of the subgrade are obvious.
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Bakushev, S. V. "Flat geometric-nonlinear shear strains." Structural Mechanics of Engineering Constructions and Buildings 14, no. 6 (2018): 516–22. http://dx.doi.org/10.22363/1815-5235-2018-14-6-516-522.

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Nielsen, Anders S., and Ryszard Pyrz. "In-Situ Observation of Thermal Residual Strains in Carbon/Thermoplastic Microcomposites Using Raman Spectroscopy." Engineering Plastics 5, no. 4 (January 1997): 147823919700500. http://dx.doi.org/10.1177/147823919700500401.

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Thermal residual strains in carbon/thermoplastic microcomposites have been measured in-situ using micro Raman spectroscopy. This experimental method provides quantitative information of the relation between the level of residual strains and the temperature history. Two different microcomposites have been investigated; carbon fibre/ polycarbonate and carbon fibre/polypropylene. The observed strain-temperature profile exhibits two characteristic nonlinear zones for both composite systems. It is shown that the linear thermoelastic solution strongly overestimates residual thermal strains. In order to overcome this deficiency the thermorheologically simple model is applied to predict residual strains. The results indicate that the model correctly estimates the level of residual strains in thermoplastic microcomposites, but fails to describe the two nonlinear characteristic zones. This leads to the conclusion that a more complex constitutive model of the matrix phase must be considered.
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Nielsen, Anders S., and Ryszard Pyrz. "In-Situ Observation of Thermal Residual Strains in Carbon/Thermoplastic Microcomposites Using Raman Spectroscopy." Polymers and Polymer Composites 5, no. 4 (January 1997): 245–56. http://dx.doi.org/10.1177/096739119700500401.

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Thermal residual strains in carbon/thermoplastic microcomposites have been measured in-situ using micro Raman spectroscopy. This experimental method provides quantitative information of the relation between the level of residual strains and the temperature history. Two different microcomposites have been investigated; carbon fibre/ polycarbonate and carbon fibre/polypropylene. The observed strain-temperature profile exhibits two characteristic nonlinear zones for both composite systems. It is shown that the linear thermoelastic solution strongly overestimates residual thermal strains. In order to overcome this deficiency the thermorheologically simple model is applied to predict residual strains. The results indicate that the model correctly estimates the level of residual strains in thermoplastic microcomposites, but fails to describe the two nonlinear characteristic zones. This leads to the conclusion that a more complex constitutive model of the matrix phase must be considered.
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Simmonds, J. G. "The Strain-Energy Density of Rubber-Like Shells of Revolution Undergoing Torsionless, Axisymmetric Deformation (Axishells)." Journal of Applied Mechanics 53, no. 3 (September 1, 1986): 593–96. http://dx.doi.org/10.1115/1.3171816.

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We consider a shell of revolution made of an incompressible elastically isotropic material. Assuming a torsionless, axisymmetric three-dimensional displacement field that permits large normal strains (i.e., large thickness changes) but small transverse shearing strains, we construct a two-dimensional strain-energy density for a first-approximation shell theory in which the extensional strains may be O(1). The bending strains, however, are small, as in Reissner’s nonlinear theory. An error estimate is given that depends on the undeformed thickness and curvatures, the bending strains, the transverse shearing strain, and the characteristic wavelength of the shell theory solutions.
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Levin, V. A., and K. M. Zingermann. "Effective Constitutive Equations for Porous Elastic Materials at Finite Strains and Superimposed Finite Strains." Journal of Applied Mechanics 70, no. 6 (November 1, 2003): 809–16. http://dx.doi.org/10.1115/1.1630811.

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A method is developed for derivation of effective constitutive equations for porous nonlinear-elastic materials undergoing finite strains. It is shown that the effective constitutive equations that are derived using the proposed approach do not change if a rigid motion is superimposed on the deformation. An approach is proposed for the computation of effective characteristics for nonlinear-elastic materials in which pores are originated after a preliminary loading. This approach is based on the theory of superimposed finite deformations. The results of computations are presented for plane strain, when pores are distributed uniformly.
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Sokolova, M. Yu, and D. V. Khristich. "FINITE STRAINS OF NONLINEAR ELASTIC ANISOTROPIC MATERIALS." Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, no. 70 (2021): 103–16. http://dx.doi.org/10.17223/19988621/70/9.

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Anisotropic materials with the symmetry of elastic properties inherent in crystals of cubic syngony are considered. Cubic materials are close to isotropic ones by their mechanical properties. For a cubic material, the elasticity tensor written in an arbitrary (laboratory) coordinate system, in the general case, has 21 non-zero components that are not independent. An experimental method is proposed for determining such a coordinate system, called canonical, in which a tensor of elastic properties includes only three nonzero independent constants. The nonlinear model of the mechanical behavior of cubic materials is developed, taking into account geometric and physical nonlinearities. The specific potential strain energy for a hyperelastic cubic material is written as a function of the tensor invariants, which are projections of the Cauchy-Green strain tensor into eigensubspaces of the cubic material. Expansions of elasticity tensors of the fourth and sixth ranks in tensor bases in eigensubspaces are determined for the cubic material. Relations between stresses and finite strains containing the second degree of deformations are obtained. The expressions for the stress tensor reflect the mutual influence of the processes occurring in various eigensubspaces of the material under consideration.
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Johnson, A. R., T. Chen, and J. L. Mead. "Modeling Step—Strain Relaxation and Cyclic Deformations of Elastomers." Rubber Chemistry and Technology 75, no. 2 (May 1, 2002): 333–45. http://dx.doi.org/10.5254/1.3544982.

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Abstract Data for step—strain relaxation and cyclic compressive deformations of highly viscous short elastomer cylinders are modeled using a large strain rubber viscoelastic constitutive theory with a rate—independent friction stress term added. In the tests, both small and large amplitude cyclic compressive strains, in the range of 1% to 10%, were superimposed on steady state compressed strains, in the range of 5% to 20%, for frequencies of 1 and 10 Hz. The elastomer cylinders were conditioned prior to each test to soften them. The constants in the viscoelastic—friction constitutive theory are determined by employing a nonlinear least-squares method to fit the analytical stresses for a Maxwell model, which includes friction, to measured relaxation stresses obtained from a 20% step—strain compression test. The simulation of the relaxation data with the nonlinear model is successful at compressive strains of 5%, 10%, 15%, and 20%. Simulations of hysteresis stresses for enforced cyclic compressive strains of 20%±5% are made with the model calibrated by the relaxation data. The predicted hysteresis stresses are lower than the measured stresses.
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Dissertations / Theses on the topic "NONLINEAR STRAINS"

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Byun, Chansup. "Free vibration and nonlinear transient analysis of imperfect laminated structures." Diss., This resource online, 1991. http://scholar.lib.vt.edu/theses/available/etd-07282008-135342/.

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鍾偉昌 and Wai-cheong Chung. "Geometrically nonlinear analysis of plates using higher order finite elements." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1986. http://hub.hku.hk/bib/B31207601.

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Chung, Wai-cheong. "Geometrically nonlinear analysis of plates using higher order finite elements /." [Hong Kong : University of Hong Kong], 1986. http://sunzi.lib.hku.hk/hkuto/record.jsp?B12225022.

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陳永堅 and Wing-kin Chan. "Formulation of solid elements for linear and geometric nonlinear analysis of shells." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2001. http://hub.hku.hk/bib/B30252842.

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El-Ansary, Amgad Saad Eldin. "Minimization of stresses and pressure surges in pipes using nonlinear optimization." Diss., The University of Arizona, 1989. http://hdl.handle.net/10150/184632.

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The control of stresses and liquid pressure surges in pipes is an important problem in the design of hydraulic pipe networks. The method of characteristics has been used to solve the transient stresses and pressures in liquid-filled piping systems. The friction force is included in the equations of motion for the fluid and the pipe wall. The maximum pressure and maximum stress at any point along the length of the pipe are evaluated for the entire simulation time. A nonlinear search technique has been developed using the simplex method. The optimal valve closure is sought, that will minimize the maximum pressure and/or stresses. A continuous optimal valve closure policy is specified using spline functions. Numerical examples are presented showing the reduction of the dynamic pressure and the dynamic stress from linear valve closure to optimal valve closure for a simple pipeline and a complex pipeline. Also, a method for choosing the shortest time of closure which will keep the stresses below specified allowable stresses is presented.
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Kalpundi, Ganesh R. "Nonlinear mixed finite element analysis for contact problems by a penalty constraint technique." Thesis, This resource online, 1993. http://scholar.lib.vt.edu/theses/available/etd-06302009-040252/.

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Meyer, Marcus, and Julia Müller. "Identification of mechanical strains by measurements of a deformed electrical potential field." Universitätsbibliothek Chemnitz, 2008. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-200802027.

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In this paper we discuss the inverse problem of the identification of mechanical stresses by measuring the deformation of an electric potential field in a so called differential strain gauge (D-DMS). We derive a mathematical model, where the forward operator is given in terms of an elliptic boundary value problem. Derivatives of the forward operator are considered and the solution of the inverse problem via a least-squares minimization is introduced. Here, the discretized problem is solved with the Gauss-Newton method. Numerical studies of practical interest are presented.
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朱達善 and Dashan Zhu. "Nonlinear static and dynamic analysis of plates & shells by spline finite strip method." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1988. http://hub.hku.hk/bib/B31231743.

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Zhu, Dashan. "Nonlinear static and dynamic analysis of plates & shells by spline finite strip method /." [Hong Kong] : University of Hong Kong, 1988. http://sunzi.lib.hku.hk/hkuto/record.jsp?B12427020.

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SUBRAMANIAN, BALAKRISHNAN. "GEOMETRICALLY NONLINEAR ANALYSIS OF THIN ARBITRARY SHELLS USING DISCRETE-KIRCHHOFF CURVED TRIANGULAR ELEMENTS (FINITE)." Diss., The University of Arizona, 1985. http://hdl.handle.net/10150/188101.

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The research work presented here deals with the problems of geometrically nonlinear analysis of thin shell structures. The specific objective was to develop geometrically nonlinear formulations, using Discrete-Kirchhoff Curved Triangular (DKCT) thin shell elements. The DKCT elements, formulated in the natural curvilinear coordinates, based on arbitrary deep shell theory and representing explicit rigid body modes, were successfully applied to linear elastic analysis of composite shells in an earlier research work. A detailed discussion on the developments of classical linear and nonlinear shell theories and the Finite Element applications to linear and nonlinear analysis of shells has been presented. The difficulties of developing converging shell elements due to Kirchhoff's hypothesis have been discussed. The importance of formulating shell elements based on deep shell theory has also been pointed out. The development of shell elements based on Discrete-Kirchhoff's theory has been discussed. The development of a simple 3-noded curved triangular thin shell element with 27 degrees-of-freedom in the tangent and normal displacements and their first-order derivatives, formulated in the natural curvilinear coordinates and based on arbitrary deep shell theory, has been described. This DKCT element has been used to develop geometrically nonlinear formulation for the nonlinear analysis of thin shells. A detailed derivation of the geometrically nonlinear (GNL) formulation, using the DKCT element based on the Total Lagrangian approach and the principles of virtual work has been presented. The techniques of solving the nonlinear equilibrium equations, using the incremental methods has been described. This includes the derivation of the Tangent Stiffness matrix. Various Newton-Raphson solution algorithms and the associated convergence criteria have been discussed in detail. Difficulties of tracing the post buckling behavior using these algorithms and hence the necessity of using alternative techniques have been mentioned. A detailed numerical evaluation of the GNL formulation has been carried out by solving a number of standard problems in the linear buckling and GNL analysis. The results compare well with the standard solutions in linear buckling cases and are in general satisfactory for the GNL analysis in the region of large displacements and small rotations. It is concluded that this simple and economical element will be an ideal choice for the expensive nonlinear analysis of shells. However, it is suggested that the element formulation should include large rotations for the element to perform accurately in the region of large rotations.
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Books on the topic "NONLINEAR STRAINS"

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Mei, C. Multiple-mode nonlinear free and forced vibrations of beams using finite element method. Norfolk, Va: Old Dominion University Research Foundation, 1987.

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Mei, C. Multiple-mode nonlinear free and forced vibrations of beams using finite element method. Norfolk, Va: Old Dominion University Research Foundation, 1987.

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Hodges, Dewey H. Nonlinear equations for dynamics of pretwisted beams undergoing small strains and large rotations. [Washington, DC]: National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1985.

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Adegeest, Leonardus Johannes Maria. Nonlinear hull girder loads in ships =: Niet-lineaire belastingen in een scheepsdoorsnede. Delft: Technische Universiteit Delft, Fac. Werktuigbouwkunde en Maritieme Techniek, 1995.

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Institute of Physics (Great Britain). Stress Analysis Group. Nonlinear stress analysis: Proceedings of a one-day meeting of the Stress Analysis Group of the Institute of Physics, 7 March 1990, London. Edited by Clark J. D. Bristol, U.K: Institute of Physics, 1990.

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Y, Cheng Franklin, ed. Seismic design aids for nonlinear pushover analysis of reinforced concrete and steel bridges. Boca Raton, FL: CRC Press, 2012.

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Y, Hwang Shoi, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch., eds. Local strain redistribution corrections for a simplified inelastic analysis procedure based on an elastic finite-element analysis. [Washington, D.C.]: National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1985.

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Amplification of nonlinear strain waves in solids. Singapore: World Scientific, 2004.

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Kitamura, Takayuki. A nonlinear high temperature fracture mechanics basis for strainrange partitioning. Cleveland, Ohio: Lewis Research Center, 1989.

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Kitamura, Takayuki. A nonlinear high temperature fracture mechanics basis for strainrange partitioning. [Washington, DC]: National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Division, 1990.

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Book chapters on the topic "NONLINEAR STRAINS"

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Służalec, Andrzej. "Finite Strains." In Introduction to Nonlinear Thermomechanics, 12–26. London: Springer London, 1992. http://dx.doi.org/10.1007/978-1-4471-1906-7_2.

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Ibrahimbegovic, Adnan. "Inelastic behavior at small strains." In Nonlinear Solid Mechanics, 125–255. Dordrecht: Springer Netherlands, 2009. http://dx.doi.org/10.1007/978-90-481-2331-5_3.

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Schinazi, Rinaldo B. "Modeling Competition Between Two Influenza Strains." In Advances in Superprocesses and Nonlinear PDEs, 35–40. Boston, MA: Springer US, 2013. http://dx.doi.org/10.1007/978-1-4614-6240-8_3.

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Waldman, L. K. "Multidimensional Measurement of Regional Strains in the Intact Heart." In Institute for Nonlinear Science, 145–74. New York, NY: Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4612-3118-9_7.

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Kružík, Martin, and Tomáš Roubíček. "Nonlinear Materials with Internal Variables at Small Strains." In Interaction of Mechanics and Mathematics, 247–356. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-02065-1_7.

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Menzel, A., and P. Steinmann. "Formulation and Computation of Geometrically Nonlinear Anisotropic Inelasticity." In IUTAM Symposium on Computational Mechanics of Solid Materials at Large Strains, 181–90. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0297-3_16.

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Engelbrecht, J., A. Ravasoo, and A. Salupere. "Nonlinear Waves in Solids and the Inverse Problems." In IUTAM Symposium on Computational Mechanics of Solid Materials at Large Strains, 331–39. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0297-3_30.

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Park, K. C., G. M. Stanley, and H. Cabiness. "A Family of C0 Shell Elements Based on Generalized Hrennikoff’s Method and Assumed Natural-Coordinate Strains." In Finite Element Methods for Nonlinear Problems, 265–82. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-642-82704-4_15.

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Kuhn, G. "A Total-Lagrangian Fbem-Approach for Hyper-Elasticity and Plasticity at Finite Strains." In IABEM Symposium on Boundary Integral Methods for Nonlinear Problems, 139–44. Dordrecht: Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-011-5706-3_22.

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Cantrell, John H., and William T. Yost. "Nonlinear Acoustic Assessment of Precipitation-Induced Coherency Strains in Aluminum Alloy 2024." In Review of Progress in Quantitative Nondestructive Evaluation, 1361–65. Boston, MA: Springer US, 1996. http://dx.doi.org/10.1007/978-1-4613-0383-1_178.

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Conference papers on the topic "NONLINEAR STRAINS"

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JENSON, B., B. TRASK, and A. JOHNSON. "Determining laminates strains from nonlinear lamina moduli." In 26th Joint Propulsion Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1990. http://dx.doi.org/10.2514/6.1990-1971.

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HE, L. H., C. W. H. LAU, and C. W. LIM. "NONLINEAR THEORY OF MULTILAYERED SHELLS WITH ACTUATION STRAINS." In Proceedings of the Third Australasian Congress on Applied Mechanics. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812777973_0084.

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Milyukov, Vadim, Andrey Myasnikov, Alexey Mironov, Bengt Enflo, Claes M. Hedberg, and Leif Kari. "Monitoring the State of the Magmatic Structures of Elbrus Volcano Based on Observation of Lithosphere Strains." In NONLINEAR ACOUSTICS - FUNDAMENTALS AND APPLICATIONS: 18th International Symposium on Nonlinear Acoustics - ISNA 18. AIP, 2008. http://dx.doi.org/10.1063/1.2956244.

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Tabiei, A., and Y. Jiang. "Woven Fabric Composite Material Model With Material Nonlinearity for Nonlinear Finite Element Simulation." In ASME 1997 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/imece1997-1195.

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Abstract The objective of the current investigation is to develop a simple, yet generalized, model which considers the two-dimensional extent of woven fabric, and to have an interface with nonlinear finite element codes. A micromechanical composite material model for woven fabric with nonlinear stress-strain relations is developed and implemented in ABAQUS for nonlinear finite element structural analysis. Within the model a representative volume cell is assumed. Using the iso-stress and iso-strain assumptions the constitutive equations are averaged along the thickness direction. The cell is then divided into many subcells and an averaging is performed again by assuming uniform stress distribution in each subcell to obtain the effective stress-strain relations of the subcell. The stresses and strains within the subcells are combined to yield the effective stresses and strains in the representative cell. Then this information is passed to the finite element code at each material point of the shell element. In this manner structural analysis of woven composites can be performed. Also, at each load increment global stresses and strains are communicated to the representative cell and subsequently distributed to each subcell. Once stresses and strains are associated to a subcell they can be distributed to each constituent of the subcell i.e. fill, warp, and resin. Consequently micro-failure criteria (MFC) can be defined for each constituents of a subcell and the proper stiffness degradation can be modeled if desired. This material model is suitable for implicit as well explicit finite element codes to deal with problems such as crashworthiness, impact, and failure analysis under static loads.
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Nabuco, Bruna, Tobias Friis, Marius Tarpø, Sandro Amador, Evangelos I. Katsanos, and Rune Brincker. "Nonlinear Strain Estimation Based on Linear Parameters." In ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/omae2018-77785.

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This paper aims to demonstrate how to estimate strains of fixed structures considering cases with nonlinearities based on parameters determined from one linear case. Both simulated and experimental data have been evaluated. A finite element model was used to obtain the simulated responses. Accelerations and strains were measured along the application of random loading to a fixed structural model for the experimental data. Operational Modal Analysis has been considered in the time domain in order to identify the modal properties. Nonlinearities are included as friction is imposed on the models.
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Niklès, Marc, Luc Thévenaz, and Philippe Robert. "Brillouin Gain Spectrum Measurements using a Single Laser Source." In Nonlinear Guided-Wave Phenomena. Washington, D.C.: Optica Publishing Group, 1993. http://dx.doi.org/10.1364/nlgwp.1993.md.5.

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Stimulated Brillouin scattering (SBS) is a non-linear process that occurs in optical fibres at much lower pump power than most other non-linear effects. The pump wave is scattered into a backward-propagating Stokes wave that experiences a frequency shift lying in the 12-13 GHz range at 1300 nm. This shift is proportional to the acoustic velocity within the fibre, making SBS an efficient tool for sensing applications, e.g. for monitoring strains in installed fibres [1].
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Tabiei, Ala, and Romil Tanov. "Sandwich Shell Model With Woven Fabric Facings for Nonlinear Finite Element Simulation." In ASME 2000 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/imece2000-2038.

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Abstract This paper presents a micromechanical model for analysis of woven fabric composites. The micro model is coupled with a shell element developed for the analysis of sandwich structures. Starting with the average strains in the representative volume cell and based on continuity requirements at the sub-cell interfaces, the strains and stresses in the composite constituents are determined as well as the average stresses in the lamina. In their formulation the developed micromechanical models take into consideration all components of the 3-D strain and stress tensors. The formulation is implemented in the explicit nonlinear finite element code DYNA3D. The performance of the model is assessed through couple of examples. The simplicity of formulation makes this model attractive for the nonlinear finite element analysis of sandwich composite structures with woven facings.
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Han, Seon M., and Haym Benaroya. "Nonlinear Coupled Transverse and Axial Vibration of a Compliant Structure: Free and Forced." In ASME 2000 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/imece2000-1748.

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Abstract A compliant tower in the ocean environment is modeled as a beam undergoing coupled transverse and axial motion. The beam is supported by a torsional spring and has a point mass at the other end. It is assumed that the strains are small but the rotation is moderate compared to the strain so that the equations of motion for the axial and transverse motion are nonlinearly coupled. The nonlinear coupled equations of motion are derived here using Hamilton’s principle. The forced responses due to random waves are observed here. The responses are obtained numerically using the finite difference approach.
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Cantrell, J. H. "Residual Strains from Lattice-Generated Stochastic Nonlinear Acoustic Radiation Fields in Solids." In IEEE 1986 Ultrasonics Symposium. IEEE, 1986. http://dx.doi.org/10.1109/ultsym.1986.198903.

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Talha, Mohammad, and B. N. Singh. "Nonlinear Vibration Analysis of Shear Deformable Functionally Graded Ceramic-Metal Plates Using an Improved Higher Order Theory." In ASME 2010 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. ASMEDC, 2010. http://dx.doi.org/10.1115/smasis2010-3619.

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In the present study, an improved higher order theory in conjunction with finite element method (FEM) is presented and is applied to study the nonlinear vibration analysis of shear deformable functionally graded material (FGMs) plates. The present structural model kinematics assumes the cubically varying in-plane displacement over the entire thickness, while the transverse displacement varies quadratically to achieve the accountability of normal strain and its derivative in calculation of transverse shear strains. The theory also satisfies zero transverse strains conditions at the top and bottom faces of the plate, and the geometric nonlinearity is based on Green-Lagrange assumptions. All higher order terms appearing from nonlinear strain displacement relations are incorporated in the formulation. The material properties of the plates are assumed to vary smoothly and continuously throughout the thickness of the plate by a simple power-law distribution in terms of the volume fractions of the constituents. A C0 continuous isoparametric nonlinear FEM with 13 degrees of freedom per node is proposed for the accomplishment of the improved elastic continuum. Numerical results with different system parameters and boundary conditions are accomplished, to show the importance and necessity of the higher order terms in the nonlinear formulations.
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Reports on the topic "NONLINEAR STRAINS"

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Yoosef-Ghodsi, Ozkan, and Bandstra. PR-244-114501-R01 Review of Compressive Strain Capacity Assessment Methods Final Report. Chantilly, Virginia: Pipeline Research Council International, Inc. (PRCI), October 2013. http://dx.doi.org/10.55274/r0010402.

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Buried pipelines subjected to non-continuous ground movement such as frost heave, thaw settlement, slope instability and seismic movement experience high compressive strains that can cause local buckling (or wrinkling), in which the pipe wall buckles like a thin cylindrical shell in axial compression. In a strain-based design and assessment framework, excessive local buckling deformation that may cause loss of serviceability, or even pressure containment in some cases, is managed by limiting the strain demand below the strain limit. The determination of compressive strain limit is typically performed by full-scale structural testing or nonlinear finite element analysis that takes into account material and geometric non-linearity associated with the inelastic buckling of cylindrical shells. Before performing testing and numerical analysis (or when such options do not exist), empirical equations are used to estimate the strain limit. In this report a number of representative equations were evaluated by comparing strain limit predictions to full-scale test results. Work prior to this study has identified the importance of key variables that have the greatest impact on the local buckling behaviour. Examples of these variables include the diameter-to-thickness (D/t) ratio, internal pressure and shape of the stress strain curve. The evaluation focused on how existing equations address these key variables, and the performance with respect to key variables and in different ranges.
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Kinikles, Dellena, and John McCartney. Hyperbolic Hydro-mechanical Model for Seismic Compression Prediction of Unsaturated Soils in the Funicular Regime. Pacific Earthquake Engineering Research Center, University of California, Berkeley, CA, December 2022. http://dx.doi.org/10.55461/yunw7668.

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A semi-empirical elasto-plastic constitutive model with a hyperbolic stress-strain curve was developed with the goal of predicting the seismic compression of unsaturated sands in the funicular regime of the soil-water retention curve (SWRC) during undrained cyclic shearing. Using a flow rule derived from energy considerations, the evolution in plastic volumetric strain (seismic compression) was predicted from the plastic shear strains of the hysteretic hyperbolic stress-strain curve. The plastic volumetric strains are used to predict the changes in degree of saturation from phase relationships and changes in pore air pressure from Boyle’s and Henry’s laws. The degree of saturation was used to estimate changes in matric suction from the transient scanning paths of the SWRC. Changes in small-strain shear modulus estimated from changes in mean effective stress computed from the constant total stress and changes in pore air pressure, degree of saturation and matric suction, in turn affect the hyperbolic stress-strain curve’s shape and the evolution in plastic volumetric strain. The model was calibrated using experimental shear stress-strain backbone curves from drained cyclic simple shear tests and transient SWRC scanning path measurements from undrained cyclic simple shear tests. Then the model predictions were validated using experimental data from undrained cyclic simple shear tests on unsaturated sand specimens with different initial degrees of saturation in the funicular regime. While the model captured the coupled evolution in hydro-mechanical variables (pore air pressure, pore water pressure, matric suction, degree of saturation, volumetric strain, effective stress, shear modulus) well over the first 15 cycles of shearing, the predictions were less accurate after continued cyclic shearing up to 200 cycles. After large numbers of cycles of undrained shearing, a linear decreasing trend between seismic compression and initial degree of saturation was predicted from the model while a nonlinear increasing-decreasing trend was observed in the cyclic simple shear experiments. This discrepancy may be due to not considering post shearing reconsolidation in the model, calibration of model parameters, or experimental issues including a drift in the position of the hysteretic shear-stress strain curve. Nonetheless, the trend from the model is consistent with predictions from previously- developed empirical models in the funicular regime of the SWRC. The developments of the new mechanistic model developed in this study will play a key role in the future development of a holistic model for predicting the seismic compression across all regimes of the SWRC.
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Regueiro, Richard A. Nonlinear Micromorphic Continuum Mechanics and Finite Strain Elastoplasticity. Fort Belvoir, VA: Defense Technical Information Center, November 2010. http://dx.doi.org/10.21236/ada542966.

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Dehn, James T. Nonlinear Stress-Strain and Inelastic Rebound with Exponential Stiffness. Fort Belvoir, VA: Defense Technical Information Center, July 1988. http://dx.doi.org/10.21236/ada195667.

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Ko, Yu-Fu, and Jessica Gonzalez. Fiber-Based Seismic Damage and Collapse Assessment of Reinforced Concrete Single-Column Pier-Supported Bridges Using Damage Indices. Mineta Transportation Institute, August 2023. http://dx.doi.org/10.31979/mti.2023.2241.

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Near-fault earthquakes can have major effects on transportation systems due to the structural damage they impose on bridges. Therefore, it is imperative to assess the seismic damage of bridges appropriately, and this research focuses on reinforced concrete (RC) bridges. This research advances the seismic performance assessment of RC single-column pier-supported bridges with flexural failure under near-fault ground motion by use of ductility coefficients and damage indices. The methodology included modeling fiber-based nonlinear beam-column elements to simulate the damage development process of RC bridge piers under earthquake loadings, considering the global buckling of longitudinal steel bars, examining the cracking and spalling of cover concrete, and analyzing the effects of bond-slip. The tensile strain represented the damage of the longitudinal bars while the compression strain represented the cover concrete damage. Two innovative nonlinear fiber-based finite element models (FEMs) were developed: Model 1 (bond-slip excluded) and Model 2 (bond-slip included). Nonlinear static cyclic pushover analyses and nonlinear response history analyses were conducted. The simulation results were compared with available pseudo-dynamic test results. Model 1 provided a more ideal prognosis on the seismic performance of RC single-column pier-supported bridges under near-fault ground motion. The proposed damage indices can indicate the damage state at any stage and the gradual accumulation of damage in RC bridge piers, which are more convincing than most other indices in the literature. The proposed fiber-based nonlinear FEMs, together with the use of ductility coefficients and proposed damage indices, can also assist engineers and researchers in simulating the seismic behavior and assessing the damage state of RC bridge columns in a computationally effective manner which can empower engineers to identify and prioritize RC bridges for seismic retrofit and maintenance.
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Legg, Sonya. Numerical Investigation of Nonlinear Internal Wave Generation and Breaking in Straits. Fort Belvoir, VA: Defense Technical Information Center, September 2009. http://dx.doi.org/10.21236/ada531848.

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Legg, Sonya. Numerical Investigation of Nonlinear Internal Wave Generation and Breaking in Straits. Fort Belvoir, VA: Defense Technical Information Center, September 2010. http://dx.doi.org/10.21236/ada542790.

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Legg, Sonya, and Maarten Buijsman. Numerical Investigation of Nonlinear Internal Wave Generation and Breaking in Straits. Fort Belvoir, VA: Defense Technical Information Center, September 2012. http://dx.doi.org/10.21236/ada590343.

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Legg, Sonya, and Maarten Buijsman. Numerical Investigation of Nonlinear Internal Wave Generation and Breaking in Straits. Fort Belvoir, VA: Defense Technical Information Center, September 2013. http://dx.doi.org/10.21236/ada598115.

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Barsoum, Michel W. Kinking Nonlinear Elastic Solids for Load Bearing Damping and Strain Sensing Applications. Fort Belvoir, VA: Defense Technical Information Center, February 2011. http://dx.doi.org/10.21236/ada545946.

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