Computational homogenization of elasticity on a staggered grid

Fourier-based schemes for computing the mechanical response of composites with accurate local fields

(2015) François Willot   COMPTES RENDUS MECANIQUE

Numerically robust spectral methods for crystal plasticity simulations of heterogeneous materials

(2015) P. Shanthraj et al.   INTERNATIONAL JOURNAL OF PLASTICITY

Homogenization of random heterogeneous media with inclusions of arbitrary shape modeled by XFEM

(2014) Dimitris Savvas et al.   COMPUTATIONAL MECHANICS

Efficient fixed point and Newton–Krylov solvers for FFT-based homogenization of elasticity at large deformations

(2014) Matthias Kabel et al.   COMPUTATIONAL MECHANICS

An FFT-based Galerkin method for homogenization of periodic media

(2014) Jaroslav Vondřejc et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Fourier-based schemes with modified Green operator for computing the electrical response of heterogeneous media with accurate local fields

(2014) François Willot et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Bone structure analysis on multiple GPGPUs

(2014) Peter Arbenz et al.   JOURNAL OF PARALLEL AND DISTRIBUTED COMPUTING

A multiscale approach for modeling progressive damage of composite materials using fast Fourier transforms

(2013) J. Spahn et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Study of internal lattice strain distributions in stainless steel using a full-field elasto-viscoplastic formulation based on fast Fourier transforms

(2012) A.K. Kanjarla et al.   ACTA MATERIALIA

Experimental characterization of the intragranular strain field in columnar ice during transient creep

(2012) F. Grennerat et al.   ACTA MATERIALIA

Numerical homogenization of heterogeneous and cellular materials utilizing the finite cell method

(2012) Alexander Düster et al.   COMPUTATIONAL MECHANICS

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) S. Brisard et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Validation of composite finite elements efficiently simulating elasticity of trabecular bone

(2012) Lars Ole Schwen et al.   COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING

Digital rock physics benchmarks—part II: Computing effective properties

(2012) Heiko Andrä et al.   COMPUTERS & GEOSCIENCES

Digital rock physics benchmarks—Part I: Imaging and segmentation

(2012) Heiko Andrä et al.   COMPUTERS & GEOSCIENCES

A spectral method solution to crystal elasto-viscoplasticity at finite strains

(2012) P. Eisenlohr et al.   INTERNATIONAL JOURNAL OF PLASTICITY

A polarization-based FFT iterative scheme for computing the effective properties of elastic composites with arbitrary contrast

(2011) V. Monchiet et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

An elasto-viscoplastic formulation based on fast Fourier transforms for the prediction of micromechanical fields in polycrystalline materials

(2011) Ricardo A. Lebensohn et al.   INTERNATIONAL JOURNAL OF PLASTICITY

Fast fourier transform-based modeling for the determination of micromechanical fields in polycrystals

(2011) Ricardo A. Lebensohn et al.   JOM

Dilatational viscoplasticity of polycrystalline solids with intergranular cavities

(2011) R.A. Lebensohn et al.   PHILOSOPHICAL MAGAZINE

3D Composite Finite Elements for Elliptic Boundary Value Problems with Discontinuous Coefficients

(2011) Tobias Preusser et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

An efficient multigrid method for the simulation of high-resolution elastic solids

(2010) Yongning Zhu et al.   ACM TRANSACTIONS ON GRAPHICS

FFT-based methods for the mechanics of composites: A general variational framework

(2010) S. Brisard et al.   COMPUTATIONAL MATERIALS SCIENCE

Modeling the viscoplastic micromechanical response of two-phase materials using Fast Fourier Transforms

(2010) S.-B. Lee et al.   INTERNATIONAL JOURNAL OF PLASTICITY

A second order virtual node method for elliptic problems with interfaces and irregular domains

(2010) Jacob Bedrossian et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Accelerating a FFT-based solver for numerical homogenization of periodic media by conjugate gradients

(2010) Jan Zeman et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Stress hot spots in viscoplastic deformation of polycrystals

(2010) A D Rollett et al.   MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING

Comparison of finite element and fast Fourier transform crystal plasticity solvers for texture prediction

(2010) B Liu et al.   MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING

A comparison of enhanced continuum FE with micro FE models of human vertebral bodies

(2009) Dieter H. Pahr et al.   JOURNAL OF BIOMECHANICS

Simulation of micromechanical behavior of polycrystals: finite elements versus fast Fourier transforms

(2009) A Prakash et al.   MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING

Numerical computation of the response of piezoelectric composites using Fourier transform

(2009) R. Brenner   PHYSICAL REVIEW B

Preconditioning by inverting the Laplacian: an analysis of the eigenvalues

(2008) B. F. Nielsen et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

An accelerated FFT algorithm for thermoelastic and non-linear composites

(2008) V. Vinogradov et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Convergence analysis of theQ1-finite element method for elliptic problems with non-boundary-fitted meshes

(2008) Isabelle Ramière   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

A scalable multi-level preconditioner for matrix-free µ-finite element analysis of human bone structures

(2007) Peter Arbenz et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

On the microstructure of open-cell foams and its effect on elastic properties

(2007) Wen-Yea Jang et al.   INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES