Eighty years of the finite element method: Birth, evolution, and future

WK Liu, S Li, HS Park - Archives of Computational Methods in …, 2022 - Springer
This document presents comprehensive historical accounts on the developments of finite
element methods (FEM) since 1941, with a specific emphasis on developments related to …

Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications

F Roters, P Eisenlohr, L Hantcherli, DD Tjahjanto… - Acta materialia, 2010 - Elsevier
This article reviews continuum-based variational formulations for describing the elastic–
plastic deformation of anisotropic heterogeneous crystalline matter. These approaches …

[HTML][HTML] DAMASK–The Düsseldorf Advanced Material Simulation Kit for modeling multi-physics crystal plasticity, thermal, and damage phenomena from the single …

F Roters, M Diehl, P Shanthraj, P Eisenlohr… - Computational Materials …, 2019 - Elsevier
Crystal Plasticity (CP) modeling is a powerful and well established computational materials
science tool to investigate mechanical structure–property relations in crystalline materials. It …

Geometrically necessary dislocations and related kinematic hardening in gradient grained materials: A nonlocal crystal plasticity study

X Zhang, J Zhao, G Kang, M Zaiser - International Journal of Plasticity, 2023 - Elsevier
Gradient grained metals whose microstructure is characterized by a spatially graded grain
size distribution show a better strength-ductility combination than their homogeneous …

Study of grain boundary orientation gradients through combined experiments and strain gradient crystal plasticity modeling

N Pai, A Prakash, I Samajdar, A Patra - International Journal of Plasticity, 2022 - Elsevier
A combined experimental and strain gradient crystal plasticity framework is presented for
studying the development of orientation and misorientation gradients at the grain …

Microstructure-and damage-nucleation-based crystal plasticity finite element modeling for the nucleation of multi-type voids during plastic deformation of Al alloys

PF Gao, MY Fei, M Zhan, MW Fu - International Journal of Plasticity, 2023 - Elsevier
During deformation of aluminum (Al) alloys, there are three kinds of voids being formed by
distinct mechanisms, ie, matrix-cracking voids (MCVs), particle-cracking voids (PCVs), and …

[HTML][HTML] An efficient and robust approach to determine material parameters of crystal plasticity constitutive laws from macro-scale stress–strain curves

K Sedighiani, M Diehl, K Traka, F Roters… - International Journal of …, 2020 - Elsevier
A severe obstacle for the routine use of crystal plasticity models is the effort associated with
determining their constitutive parameters. Obtaining these parameters usually requires time …

Analytical and numerical approaches to modelling severe plastic deformation

A Vinogradov, Y Estrin - Progress in Materials Science, 2018 - Elsevier
Severe plastic deformation (SPD) has established itself as a potent means of producing bulk
ultrafine grained and nanostructured materials. It has given rise to burgeoning research that …

Phase field modeling of defects and deformation

Y Wang, J Li - Acta Materialia, 2010 - Elsevier
New perspectives on the phase field approach in modeling deformation and fracture at the
fundamental defect level are reviewed. When applied at sub-angstrom length scales the …

Interfacial plasticity governs strain rate sensitivity and ductility in nanostructured metals

T Zhu, J Li, A Samanta, HG Kim… - Proceedings of the …, 2007 - National Acad Sciences
Nano-twinned copper exhibits an unusual combination of ultrahigh strength and high
ductility, along with increased strain-rate sensitivity. We develop a mechanistic framework for …