Single-crystal elasto-viscoplasticity: application to texture evolution in polycrystalline metals at large strains

被引:130
作者
Anand, L [1 ]
机构
[1] MIT, Dept Mech Engn, Cambridge, MA 02139 USA
关键词
crystal plasticity; finite elements; texture evolution;
D O I
10.1016/j.cma.2003.12.068
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper develops a theory for the elastic-viscoplastic response of ductile single-crystals deforming by crystallographic slip within a framework that accounts for the laws of continuum thermodynamics. A special set of constitutive equations resulting from the general theory has been implemented in a finite-element computer program. The numerical capability is used to model the large deformation response of face-centered-cubic polycrystalline aggregates in which each finite element represents a single crystal; the polycrystalline aggregate is assumed to have an isotropic initial crystallographic texture. Numerical predictions from such a model of a polycrystal are shown to be in good agreement with the experimental results for the anisotropic stress-strain response and the evolution of crystallographic texture in some fundamental deformation modes on copper. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:5359 / 5383
页数:25
相关论文
共 37 条
[1]   THE PROCESS OF SHEAR-BAND FORMATION IN PLANE-STRAIN COMPRESSION OF FCC METALS - EFFECTS OF CRYSTALLOGRAPHIC TEXTURE [J].
ANAND, L ;
KALIDINDI, SR .
MECHANICS OF MATERIALS, 1994, 17 (2-3) :223-243
[2]   OVERVIEW .42. TEXTURE DEVELOPMENT AND STRAIN-HARDENING IN RATE DEPENDENT POLYCRYSTALS [J].
ASARO, RJ ;
NEEDLEMAN, A .
ACTA METALLURGICA, 1985, 33 (06) :923-953
[3]   MICROMECHANICS OF CRYSTALS AND POLYCRYSTALS [J].
ASARO, RJ .
ADVANCES IN APPLIED MECHANICS, 1983, 23 :1-115
[4]   Plasticity of initially textured hexagonal polycrystals at high homologous temperatures: application to titanium [J].
Balasubramanian, S ;
Anand, L .
ACTA MATERIALIA, 2002, 50 (01) :133-148
[5]   Elasto-viscoplastic constitutive equations for polycrystalline fcc materials at low homologous temperatures [J].
Balasubramanian, S ;
Anand, L .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2002, 50 (01) :101-126
[6]  
BALASUBRAMANIAN S, 1998, THESIS DEPT MECH ENG
[7]  
BASSANI JL, 1994, ADV APPL MECH, V30, P191
[8]  
BEAUDOIN AJ, 1994, COMPUT METHOD APPL M, V117, P49, DOI 10.1016/0045-7825(94)90076-0
[9]   POLYCRYSTALLINE PLASTICITY AND THE EVOLUTION OF CRYSTALLOGRAPHIC TEXTURE IN FCC METALS [J].
BRONKHORST, CA ;
KALIDINDI, SR ;
ANAND, L .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1992, 341 (1662) :443-477
[10]   THE THERMODYNAMICS OF ELASTIC MATERIALS WITH HEAT CONDUCTION AND VISCOSITY [J].
COLEMAN, BD ;
NOLL, W .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1963, 13 (03) :167-178