COMPUTATIONAL HOMOGENIZATION METHOD AND REDUCED DATABASE MODEL FOR HYPERELASTIC HETEROGENEOUS STRUCTURES
暂无分享,去创建一个
[1] Julien Yvonnet,et al. The reduced model multiscale method (R3M) for the non-linear homogenization of hyperelastic media at finite strains , 2007, J. Comput. Phys..
[2] Julien Yvonnet,et al. Computational homogenization for nonlinear conduction in heterogeneous materials using model reduction , 2008 .
[3] W. Brekelmans,et al. Prediction of the mechanical behavior of nonlinear heterogeneous systems by multi-level finite element modeling , 1998 .
[4] Atef F. Saleeb,et al. Nonlinear material parameter estimation for characterizing hyper elastic large strain models , 2000 .
[5] Richard A. Harshman,et al. Foundations of the PARAFAC procedure: Models and conditions for an "explanatory" multi-model factor analysis , 1970 .
[6] P. P. Castañeda,et al. A second-order homogenization method in finite elasticity and applications to black-filled elastomers , 2000 .
[7] Ivonne Sgura,et al. Fitting hyperelastic models to experimental data , 2004 .
[8] N. Triantafyllidis,et al. Comparison of microscopic and macroscopic instabilities in a class of two-dimensional periodic composites , 1993 .
[9] D. Kondo,et al. Implementation and numerical verification of a non-linear homogenization method applied to hyperelastic composites , 2008 .
[10] Finite Strain Micromechanical Modeling of Multiphase Composites , 2008 .
[11] Gal deBotton,et al. Neo-Hookean fiber-reinforced composites in finite elasticity , 2006 .
[12] J. Chaboche,et al. FE2 multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials , 2000 .
[13] Naoki Takano,et al. Macro-micro uncoupled homogenization procedure for microscopic nonlinear behavior analysis of composites , 1996 .
[14] Frédéric Feyel,et al. Multiscale FE2 elastoviscoplastic analysis of composite structures , 1999 .
[15] Oscar Lopez-Pamies,et al. Second-Order Estimates for the Macroscopic Response and Loss of Ellipticity in Porous Rubbers at Large Deformations , 2004 .
[16] Christian Soize,et al. Computational nonlinear stochastic homogenization using a nonconcurrent multiscale approach for hyperelastic heterogeneous microstructures analysis , 2012, International Journal for Numerical Methods in Engineering.
[17] Julien Yvonnet,et al. A simple computational homogenization method for structures made of linear heterogeneous viscoelastic materials , 2011 .
[18] Gene H. Golub,et al. Rank-One Approximation to High Order Tensors , 2001, SIAM J. Matrix Anal. Appl..
[19] L. Chevalier,et al. Tools for multiaxial validation of behavior laws chosen for modeling hyper-elasticity of rubber-like materials , 2002, 1011.5031.
[20] Peter Wriggers,et al. An adaptive method for homogenization in orthotropic nonlinear elasticity , 2007 .
[21] Nicolas Triantafyllidis,et al. An Investigation of Localization in a Porous Elastic Material Using Homogenization Theory , 1984 .
[22] V. Kouznetsova,et al. Multi-scale second-order computational homogenization of multi-phase materials : a nested finite element solution strategy , 2004 .
[23] Somnath Ghosh,et al. A multi-level computational model for multi-scale damage analysis in composite and porous materials , 2001 .
[24] Tarek I. Zohdi,et al. A numerical method for homogenization in non-linear elasticity , 2007 .
[25] F. Feyel. A multilevel finite element method (FE2) to describe the response of highly non-linear structures using generalized continua , 2003 .
[26] Nicolas Triantafyllidis,et al. Failure Surfaces for Finitely Strained Two-Phase Periodic Solids Under General In-Plane Loading , 2006 .
[27] J. Michel,et al. Microscopic and macroscopic instabilities in finitely strained porous elastomers , 2007 .
[28] Ray W. Ogden,et al. Extremum principles in non-linear elasticity and their application to composites—I: Theory , 1978 .
[29] Julien Yvonnet,et al. Numerically explicit potentials for the homogenization of nonlinear elastic heterogeneous materials , 2009 .
[30] J. Chang,et al. Analysis of individual differences in multidimensional scaling via an n-way generalization of “Eckart-Young” decomposition , 1970 .
[31] Shaofan Li,et al. Introduction To Micromechanics And Nanomechanics , 2008 .
[32] H. Kiers. Towards a standardized notation and terminology in multiway analysis , 2000 .
[33] Q. He,et al. Exact Results for the Homogenization of Elastic Fiber-Reinforced Solids at Finite Strain , 2006 .
[34] Francisco Chinesta,et al. Routes for Efficient Computational Homogenization of Nonlinear Materials Using the Proper Generalized Decompositions , 2010 .