暂无分享,去创建一个
[1] Matti Schneider,et al. An efficient solution scheme for small-strain crystal-elasto-viscoplasticity in a dual framework , 2020 .
[2] Sachin S. Gautam,et al. GPU-warp based finite element matrices generation and assembly using coloring method , 2019, J. Comput. Des. Eng..
[3] B. Bourdin,et al. The Variational Approach to Fracture , 2008 .
[4] Dennis Merkert,et al. FFT-based homogenization on periodic anisotropic translation invariant spaces , 2017, 1701.04685.
[5] Yang Chen,et al. A FFT solver for variational phase-field modeling of brittle fracture , 2019, Computer Methods in Applied Mechanics and Engineering.
[6] Radhi Abdelmoula,et al. A damage model for crack prediction in brittle and quasi-brittle materials solved by the FFT method , 2012, International Journal of Fracture.
[7] Stephen P. Boyd,et al. Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers , 2011, Found. Trends Mach. Learn..
[8] G. Bonnet,et al. A polarization‐based FFT iterative scheme for computing the effective properties of elastic composites with arbitrary contrast , 2012 .
[9] Roland Glowinski,et al. Variational methods for the numerical solution of nonlinear elliptic problems , 2015, CBMS-NSF regional conference series in applied mathematics.
[10] R. Ma,et al. FFT-based homogenization of hypoelastic plasticity at finite strains , 2019, Computer Methods in Applied Mechanics and Engineering.
[11] K. Washizu. Variational Methods in Elasticity and Plasticity , 1982 .
[12] Jaroslav Vondrejc,et al. An FFT-based Galerkin method for homogenization of periodic media , 2013, Comput. Math. Appl..
[13] J. Yvonnet. Computational Homogenization of Heterogeneous Materials with Finite Elements , 2020, Solid Mechanics and Its Applications.
[14] J. Segurado,et al. Computational Homogenization of Polycrystals , 2018, 1804.02538.
[15] M. Ortiz,et al. The variational formulation of viscoplastic constitutive updates , 1999 .
[16] P. Sheng,et al. Introduction to Liquid Crystals , 1976 .
[17] Y. Huo,et al. Continuum mechanical modeling of liquid crystal elastomers as dissipative ordered solids , 2019, Journal of the Mechanics and Physics of Solids.
[18] R. Glowinski,et al. Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics , 1987 .
[19] Nicolas Triantafyllidis,et al. Failure Surfaces for Finitely Strained Two-Phase Periodic Solids Under General In-Plane Loading , 2006 .
[20] K. Bhattacharya,et al. Probing the in-plane liquid-like behavior of liquid crystal elastomers , 2021, Science Advances.
[21] Roland Glowinski,et al. ADMM and Non-convex Variational Problems , 2016 .
[22] A. Rollett,et al. Validation of a numerical method based on Fast Fourier Transforms for heterogeneous thermoelastic materials by comparison with analytical solutions , 2014 .
[23] D. Kochmann,et al. Predicting the effective response of bulk polycrystalline ferroelectric ceramics via improved spectral phase field methods , 2017 .
[24] A. DeSimone,et al. Soft elastic response of stretched sheets of nematic elastomers: a numerical study , 2002 .
[25] K. Bertoldi,et al. Mechanics of deformation-triggered pattern transformations and superelastic behavior in periodic elastomeric structures , 2008 .
[26] K. Bertoldi,et al. Pattern transformation triggered by deformation. , 2007, Physical review letters.
[27] H. Finkelmann,et al. Nematic liquid single crystal elastomers , 1991 .
[28] K. Bhattacharya,et al. Supersoft elasticity in polydomain nematic elastomers. , 2009, Physical review letters.
[29] M. Geers,et al. Finite strain FFT-based non-linear solvers made simple , 2016, 1603.08893.
[30] Marko Knezevic,et al. A high-performance computational framework for fast crystal plasticity simulations , 2014 .
[31] J. Rice. Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity , 1971 .
[32] H. Finkelmann,et al. Strain‐induced director reorientation in nematic liquid single crystal elastomers , 1995 .
[33] Tom Goldstein,et al. The Split Bregman Method for L1-Regularized Problems , 2009, SIAM J. Imaging Sci..
[34] W. Ludwig,et al. Imposing equilibrium on measured 3-D stress fields using Hodge decomposition and FFT-based optimization , 2021, 2105.01612.
[35] H. Moulinec,et al. A fast numerical method for computing the linear and nonlinear mechanical properties of composites , 1994 .
[36] R. J. Atkin,et al. An introduction to the theory of elasticity , 1981 .
[37] Soft and nonsoft structural transitions in disordered nematic networks , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[38] Laurent Capolungo,et al. A FFT-based formulation for discrete dislocation dynamics in heterogeneous media , 2018, J. Comput. Phys..
[39] Antonio DeSimone,et al. Macroscopic Response of¶Nematic Elastomers via Relaxation of¶a Class of SO(3)-Invariant Energies , 2002 .
[40] Wotao Yin,et al. Bregman Iterative Algorithms for (cid:2) 1 -Minimization with Applications to Compressed Sensing ∗ , 2008 .
[41] Roland Glowinski,et al. Numerical Solution of Problems in Incompressible Finite Elasticity by Augmented Lagrangian Methods. I. Two-Dimensional and Axisymmetric Problems , 1982 .
[42] Roland Glowinski,et al. Numerical Solution of Problems in Incompressible Finite Elasticity by Augmented Lagrangian Methods II. Three-Dimensional Problems , 1984 .
[43] Stephen Lee,et al. Exascale Computing in the United States , 2019, Computing in Science & Engineering.
[44] Ted Belytschko,et al. Multiscale Methods in Computational Mechanics , 2010 .
[45] L. Gélébart,et al. Non-linear extension of FFT-based methods accelerated by conjugate gradients to evaluate the mechanical behavior of composite materials , 2013 .
[46] Graeme W. Milton,et al. A fast numerical scheme for computing the response of composites using grid refinement , 1999 .
[47] Yongmei M Jin,et al. Three-dimensional phase field model of proper martensitic transformation , 2001 .
[48] Jacob Fish,et al. Multiscale Methods: Bridging the Scales in Science and Engineering , 2009 .
[49] J. Segurado,et al. An algorithm for stress and mixed control in Galerkin‐based FFT homogenization , 2019, International Journal for Numerical Methods in Engineering.
[50] H. Moulinec,et al. Convergence of iterative methods based on Neumann series for composite materials: Theory and practice , 2017, 1711.05880.
[51] R. Lebensohn,et al. A fast Fourier transform-based mesoscale field dislocation mechanics study of grain size effects and reversible plasticity in polycrystals , 2020, Journal of the Mechanics and Physics of Solids.
[52] Badel L. Mbanga,et al. Modeling elastic instabilities in nematic elastomers. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.
[53] Alexander Mielke,et al. A Mathematical Framework for Generalized Standard Materials in the Rate-Independent Case , 2006 .
[54] Alexander Mielke,et al. An Approach to Nonlinear Viscoelasticity via Metric Gradient Flows , 2013, SIAM J. Math. Anal..
[55] Ricardo A. Lebensohn,et al. Numerical implementation of non-local polycrystal plasticity using fast Fourier transforms , 2016 .
[56] Yuki Ueda,et al. Numerical computations of split Bregman method for fourth order total variation flow , 2019, J. Comput. Phys..
[57] A Modified Split Bregman Algorithm for Computing Microstructures Through Young Measures , 2019, Multiscale Model. Simul..
[58] M. Schneider,et al. On Quasi‐Newton methods in fast Fourier transform‐based micromechanics , 2019, International Journal for Numerical Methods in Engineering.
[59] Marko Knezevic,et al. Three orders of magnitude improved efficiency with high‐performance spectral crystal plasticity on GPU platforms , 2014 .
[60] Hervé Moulinec,et al. A Computational Method Based on Augmented Lagrangians and Fast Fourier Transforms for Composites with High Contrast , 2000 .
[61] Iam-Choon Khoo,et al. Introduction to Liquid Crystals , 2006 .
[62] K. Bhattacharya,et al. Elasticity of polydomain liquid crystal elastomers , 2009, 0911.3513.
[63] Claude Fressengeas,et al. A numerical spectral approach for solving elasto-static field dislocation and g-disclination mechanics , 2014 .
[64] Adnan Eghtesad,et al. Spectral database constitutive representation within a spectral micromechanical solver for computationally efficient polycrystal plasticity modelling , 2018 .
[65] Hervé Moulinec,et al. Comparison of three accelerated FFT‐based schemes for computing the mechanical response of composite materials , 2014 .
[66] E. Terentjev,et al. Semisoft elastic response of nematic elastomers to complex deformations. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.
[67] Luc Dormieux,et al. FFT-based methods for the mechanics of composites: A general variational framework , 2010 .
[68] Jaroslav Vondrejc,et al. A comparative study on low-memory iterative solvers for FFT-based homogenization of periodic media , 2015, J. Comput. Phys..
[69] L. Dormieux,et al. Combining Galerkin approximation techniques with the principle of Hashin and Shtrikman to derive a new FFT-based numerical method for the homogenization of composites , 2012 .
[70] K. Urayama,et al. Polydomain−Monodomain Transition of Randomly Disordered Nematic Elastomers with Different Cross-Linking Histories , 2009 .
[71] Elastic effects in disordered nematic networks. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[72] M. Schneider,et al. Efficient fixed point and Newton–Krylov solvers for FFT-based homogenization of elasticity at large deformations , 2014 .
[73] Renald Brenner,et al. Computational approach for composite materials with coupled constitutive laws , 2010 .
[74] N. Triantafyllidis,et al. Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity , 1993 .
[75] K. Bhattacharya,et al. Microstructure-enabled control of wrinkling in nematic elastomer sheets , 2016, 1611.08621.
[76] B. He,et al. Alternating Direction Method with Self-Adaptive Penalty Parameters for Monotone Variational Inequalities , 2000 .
[77] Graeme W. Milton,et al. Substitution of subspace collections with nonorthogonal subspaces to accelerate Fast Fourier Transform methods applied to conducting composites , 2020, ArXiv.
[78] M. Geers,et al. A finite element perspective on nonlinear FFT‐based micromechanical simulations , 2016, 1601.05970.
[79] Jan Novák,et al. Accelerating a FFT-based solver for numerical homogenization of periodic media by conjugate gradients , 2010, J. Comput. Phys..
[80] Wolfgang Paul,et al. GPU accelerated Monte Carlo simulation of the 2D and 3D Ising model , 2009, J. Comput. Phys..
[81] Hervé Moulinec,et al. A numerical method for computing the overall response of nonlinear composites with complex microstructure , 1998, ArXiv.
[82] T. Nguyen,et al. Viscoelasticity of the polydomain-monodomain transition in main-chain liquid crystal elastomers , 2016 .
[83] J. Schröder. A numerical two-scale homogenization scheme: the FE 2 -method , 2014 .
[84] K. Bhattacharya,et al. Effective Behavior of Nematic Elastomer Membranes , 2015, Archive for Rational Mechanics and Analysis.
[85] K. Bhattacharya,et al. Interplay of martensitic phase transformation and plastic slip in polycrystals , 2013 .
[86] E. Cerreta,et al. Modeling void growth in polycrystalline materials , 2013 .
[87] Philip Eisenlohr,et al. An elasto-viscoplastic formulation based on fast Fourier transforms for the prediction of micromechanical fields in polycrystalline materials , 2012 .
[88] M. Schneider. An FFT‐based method for computing weighted minimal surfaces in microstructures with applications to the computational homogenization of brittle fracture , 2019, International Journal for Numerical Methods in Engineering.
[89] P. Bladon,et al. Transitions and instabilities in liquid crystal elastomers. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[90] Javier Segurado,et al. DBFFT: A displacement based FFT approach for non-linear homogenization of the mechanical behavior , 2019, International Journal of Engineering Science.
[91] A. DeSimone,et al. Ogden-type energies for nematic elastomers , 2012 .
[92] Dimitri P. Bertsekas,et al. On the Douglas—Rachford splitting method and the proximal point algorithm for maximal monotone operators , 1992, Math. Program..
[93] M. Schneider. On the Barzilai‐Borwein basic scheme in FFT‐based computational homogenization , 2019, International Journal for Numerical Methods in Engineering.
[94] Kaushik Bhattacharya,et al. A model problem concerning recoverable strains of shape-memory polycrystals , 2005, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[95] Diego Rossinelli,et al. High performance CPU/GPU multiresolution Poisson solver , 2013, PARCO.
[96] Martin Diehl,et al. Numerically robust spectral methods for crystal plasticity simulations of heterogeneous materials , 2013 .
[97] E. M. Terentjev,et al. Liquid Crystal Elastomers , 2003 .