A review of FE-FFT-based two-scale methods for computational modeling of microstructure evolution and macroscopic material behavior
The overall, macroscopic constitutive behavior of most materials of technological importance
such as fiber-reinforced composites or polycrystals is very much influenced by the …
such as fiber-reinforced composites or polycrystals is very much influenced by the …
Efficient and accurate two-scale FE-FFT-based prediction of the effective material behavior of elasto-viscoplastic polycrystals
Recently, two-scale FE-FFT-based methods (eg, Spahn et al. in Comput Methods Appl Mech
Eng 268: 871–883, 2014; Kochmann et al. in Comput Methods Appl Mech Eng 305: 89–110 …
Eng 268: 871–883, 2014; Kochmann et al. in Comput Methods Appl Mech Eng 305: 89–110 …
On physics-informed data-driven isotropic and anisotropic constitutive models through probabilistic machine learning and space-filling sampling
Data-driven constitutive modeling is an emerging field in computational solid mechanics
with the prospect of significantly relieving the computational costs of hierarchical …
with the prospect of significantly relieving the computational costs of hierarchical …
Nonlinear solid mechanics: a continuum approach for engineering science
GA Holzapfel - 2002 - academia.edu
Science'by Gerhard A. Holzapfel is facilitated by his own preface, where both the aims and
the approaches of the book are outlined, showing a clear overview of the material. Having …
the approaches of the book are outlined, showing a clear overview of the material. Having …
An approach to micro-macro modeling of heterogeneous materials
V Kouznetsova, WAM Brekelmans… - Computational …, 2001 - Springer
A micro-macro strategy suitable for modeling the mechanical response of heterogeneous
materials at large deformations and non-linear history dependent material behaviour is …
materials at large deformations and non-linear history dependent material behaviour is …
Multi-scale second-order computational homogenization of multi-phase materials: a nested finite element solution strategy
VG Kouznetsova, MGD Geers… - Computer methods in …, 2004 - Elsevier
This paper presents the detailed implementation and computational aspects of a novel
second-order computational homogenization procedure, which is suitable for a multi-scale …
second-order computational homogenization procedure, which is suitable for a multi-scale …
Computational homogenization analysis in finite plasticity simulation of texture development in polycrystalline materials
The paper presents a framework for the treatment of a homogenized macro-continuum with
locally attached micro-structure, which undergoes non-isothermal inelastic deformations at …
locally attached micro-structure, which undergoes non-isothermal inelastic deformations at …
A micro-macro approach to rubber-like materials—part I: the non-affine micro-sphere model of rubber elasticity
The contribution presents a new micro-mechanically based network model for the
description of the elastic response of rubbery polymers at large strains and considers details …
description of the elastic response of rubbery polymers at large strains and considers details …
Homogenization methods and multiscale modeling: nonlinear problems
MGD Geers, VG Kouznetsova… - Encyclopedia of …, 2017 - Wiley Online Library
This article focuses on computational multiscale methods for the mechanical response of
nonlinear heterogeneous materials. After a short historical note, a brief overview is given of …
nonlinear heterogeneous materials. After a short historical note, a brief overview is given of …
A structural model for the viscoelastic behavior of arterial walls: continuum formulation and finite element analysis
In this paper we present a two-layer structural model suitable for predicting reliably the
passive (unstimulated) time-dependent three-dimensional stress and deformation states of …
passive (unstimulated) time-dependent three-dimensional stress and deformation states of …