Linear transfomation-based anisotropic yield functions

被引:831
作者
Barlat, F
Aretz, H
Yoon, JW
Karabin, ME
Brem, JC
Dick, RE
机构
[1] Alcoa Tech Ctr, Div Sci Mat, Alcoa Ctr, PA 15069 USA
[2] LASSO Ingenieurgesellschaft mbH, D-70771 Leinfelden Echrerding, Germany
[3] Alcoa Tech Ctr, Rigid Packaging Div Technol, Alcoa Ctr, PA 15069 USA
[4] Univ Aveiro, Ctr Mech Technol & Automat, P-3810 Aveiro, Portugal
关键词
anisotropic material; constitutive behaviour; metallic material; polycrystalline material; mechanical testing;
D O I
10.1016/j.ijplas.2004.06.004
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In this paper, anisotropic yield functions based on linear transformations of the stress deviator are discussed in general terms. Two specific convex formulations are proposed to describe the anisotropic behavior of metals and alloys for a full stress state (313). The type of input data recommended for the description of plastic anisotropy in sheet samples is discussed. The two formulations are shown to be suitable constitutive models for 6111-T4 and 2090-T3 aluminium alloy sheet samples. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1009 / 1039
页数:31
相关论文
共 41 条
[21]   A THEORY OF THE YIELDING AND PLASTIC FLOW OF ANISOTROPIC METALS [J].
HILL, R .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1948, 193 (1033) :281-297
[22]   GENERALIZED ISOTROPIC YIELD CRITERION [J].
HOSFORD, WF .
JOURNAL OF APPLIED MECHANICS, 1972, 39 (02) :607-&
[23]   A SELF-CONSISTENT ANISOTROPIC APPROACH FOR THE SIMULATION OF PLASTIC-DEFORMATION AND TEXTURE DEVELOPMENT OF POLYCRYSTALS - APPLICATION TO ZIRCONIUM ALLOYS [J].
LEBENSOHN, RA ;
TOME, CN .
ACTA METALLURGICA ET MATERIALIA, 1993, 41 (09) :2611-2624
[24]  
Lippmann H., 1970, ZAMM J APPL MATH MEC, V50, P134
[25]  
LIU IS, 1982, INT J ENG SCI, V20, P1099
[26]   UPPER-BOUND ANISOTROPIC YIELD LOCUS CALCULATIONS ASSUMING (111)-PENCIL GLIDE [J].
LOGAN, RW ;
HOSFORD, WF .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 1980, 22 (07) :419-430
[27]  
Paul B., 1968, Fracture, V2, P313
[28]   Work-hardening/softening behaviour of BCC polycrystals during changing strain paths: I. An integrated model based on substructure and texture evolution, and its prediction of the stress-strain behaviour of an if steel during two-stage strain paths [J].
Peeters, B ;
Seefeldt, M ;
Teodosiu, C ;
Kalidindi, SR ;
Van Houtte, P ;
Aernoudt, E .
ACTA MATERIALIA, 2001, 49 (09) :1607-1619
[29]  
RICHMOND O, 1980, P 15 INT C THEOR APP
[30]  
Rockafellar R., 1972, CONVEX ANAL