Strain Localization Modes within Single Crystals Using Finite Deformation Strain Gradient Crystal Plasticity
نویسندگان
چکیده
The present paper aims at providing a comprehensive investigation of the abilities and limitations strain gradient crystal plasticity (SGCP) theories in capturing different kinds localization modes single crystals. To this end, small deformation Gurtin-type SGCP model recently proposed by authors, based on non-quadratic defect energy uncoupled dissipation assumption, is extended to finite deformation. then applied simulate several problems with slip system configurations. These configurations are chosen such way as obtain idealized kink bands well general bands, i.e., no particular orientation respect initial crystallographic directions. obtained results show good regularizing various except for bands. Finally, reproduce complex behavior crystals undergoing slip, where competition between can take place. Both higher-order energetic dissipative effects considered investigation. For both effects, mesh-independent obtained, proving capabilities behaviors. associated close agreement those using micromorphic approach. Higher-order led dominant banding.
منابع مشابه
Finite Element Analysis and Algorithms for Single-Crystal Strain-Gradient Plasticity
We provide optimal a priori estimates for nite element approximations of a model of rate-independent single-crystal strain-gradient plasticity. The weak formulation of the problem takes the form of a variational inequality in which the primary unknowns are the displacement and slips on the prescribed slip systems, as well as the back-stress associated with the vectorial microstress. It is shown...
متن کاملStrain Localization in Ductile Single Crystals?
THIS PAPER is concerned with an analysis of strain localization in ductile crystals deforming by single slip. The plastic flow is modelled as rate-insensitive, and localization, viewed as a bifurcation from a homogeneous deformation mode to one which is concentrated in a narrow ‘shear band’, is found to be. possible only when the plastic hardening modulus for the slip system has fallen to a cer...
متن کاملGlobal Existence for Rate-Independent Gradient Plasticity at Finite Strain
We provide a global existence result for the time-continuous elastoplasticity problem using the energetic formulation. For this we show that the geometric nonlinearities via the multiplicative decomposition of the strain can be controlled via polyconvexity and a priori stress bounds in terms of the energy density. While temporal oscillations are controlled via the energy dissipation the spatial...
متن کاملStatic analysis of rectangular nanoplates using exponential shear deformation theory based on strain gradient elasticity theory
In this research, the bending analysis of rectangular nanoplates subjected to mechanical loading is investigated. For this purpose, the strain gradient elasticity theory with one gradient parameter is presented to study the nanoplates. From the best knowledge of authors, it is the first time that the exponential shear deformation formulation based on strain gradient elasticity theory is carried...
متن کاملRelaxation of the single-slip condition in strain-gradient plasticity.
We consider the variational formulation of both geometrically linear and geometrically nonlinear elasto-plasticity subject to a class of hard single-slip conditions. Such side conditions typically render the associated boundary-value problems non-convex. We show that, for a large class of non-smooth plastic distortions, a given single-slip condition (specification of Burgers vectors) can be rel...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Crystals
سال: 2021
ISSN: ['2073-4352']
DOI: https://doi.org/10.3390/cryst11101235