Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications
This article reviews continuum-based variational formulations for describing the elastic–
plastic deformation of anisotropic heterogeneous crystalline matter. These approaches …
plastic deformation of anisotropic heterogeneous crystalline matter. These approaches …
[图书][B] Crystal plasticity finite element methods: in materials science and engineering
Written by the leading experts in computational materials science, this handy reference
concisely reviews the most important aspects of plasticity modeling: constitutive laws, phase …
concisely reviews the most important aspects of plasticity modeling: constitutive laws, phase …
[HTML][HTML] An experimental study of the polycrystalline plasticity of austenitic stainless steel
F Di Gioacchino, JQ da Fonseca - International Journal of Plasticity, 2015 - Elsevier
The development and validation of crystal plasticity models requires the ability to map
deformation at the microstructural scale. Here, a new method of high-resolution deformation …
deformation at the microstructural scale. Here, a new method of high-resolution deformation …
A variational formulation of the coupled thermo-mechanical boundary-value problem for general dissipative solids
Q Yang, L Stainier, M Ortiz - Journal of the Mechanics and Physics of Solids, 2006 - Elsevier
A variational formulation of the coupled thermo-mechanical boundary-value problem for
general dissipative solids is presented. The coupled thermo-mechanical boundary-value …
general dissipative solids is presented. The coupled thermo-mechanical boundary-value …
Dislocation microstructures and the effective behavior of single crystals
We consider single-crystal plasticity in the limiting case of infinite latent hardening, which
signifies that the crystal must deform in single slip at all material points. This requirement …
signifies that the crystal must deform in single slip at all material points. This requirement …
[HTML][HTML] Dislocation pattern formation in finite deformation crystal plasticity
Stressed dislocation pattern formation in crystal plasticity at finite deformation is
demonstrated for the first time. Size effects are also demonstrated within the same …
demonstrated for the first time. Size effects are also demonstrated within the same …
Single-slip elastoplastic microstructures
S Conti, F Theil - Archive for rational mechanics and analysis, 2005 - Springer
We consider rate-independent crystal plasticity with constrained elasticity, and state the
variational formulation of the incremental problem. For generic boundary data, even the first …
variational formulation of the incremental problem. For generic boundary data, even the first …
A class of minimum principles for characterizing the trajectories and the relaxation of dissipative systems
This work is concerned with the reformulation of evolutionary problems in a weak form
enabling consideration of solutions that may exhibit evolving microstructures. This …
enabling consideration of solutions that may exhibit evolving microstructures. This …
A variational approach to modeling coupled thermo-mechanical nonlinear dissipative behaviors
L Stainier - Advances in Applied Mechanics, 2013 - Elsevier
This chapter provides a general and self-contained overview of the variational approach to
nonlinear dissipative thermo-mechanical problems initially proposed in Ortiz and Stainier …
nonlinear dissipative thermo-mechanical problems initially proposed in Ortiz and Stainier …
Curl bounds Grad on SO (3)
Let applied to rotations controls the gradient in the sense that pointwise. This result
complements rigidity results [Friesecke, James and Müller, Comme Pure Appl. Math. 55 …
complements rigidity results [Friesecke, James and Müller, Comme Pure Appl. Math. 55 …