Applying the virtual fields method to the identification of elasto-plastic constitutive parameters

被引:164
作者
Grédiac, M
Pierron, F
机构
[1] Univ Clermont Ferrand, Lab Mecan & Ingn, Clermont Ferrand, France
[2] Ecole Nat Super Arts & Metiers, Lab Mecan & Proc Fabricat, Chalons Sur Marne, France
关键词
inverse problem; virtual fields method; identification; heterogeneous tests;
D O I
10.1016/j.ijplas.2005.04.007
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
This paper deals with the identification of constitutive parameters governing elasto-plastic constitutive equations. The procedure used is the virtual fields method. It consists in writing the principle of virtual work with particular virtual fields. A cost function is then deduced. Minimizing this cost function provides the unknown parameters. An important feature is the fact that no finite element analysis is required with this approach. Moreover, it is not sensitive to the distribution of the loading if suitable virtual fields are used. Some numerical examples illustrate the relevancy of the method and its sensitivity to noisy data. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:602 / 627
页数:26
相关论文
共 33 条
[1]   Sensitivity of the virtual fields method to noisy data [J].
Avril, S ;
Grédiac, M ;
Pierron, F .
COMPUTATIONAL MECHANICS, 2004, 34 (06) :439-452
[2]  
AVRIL S, 2004, P 10 SEM INT C EXPT
[3]   On the simultaneous estimation of model parameters used in constitutive laws for inelastic material behaviour [J].
Bruhns, OT ;
Anding, DK .
INTERNATIONAL JOURNAL OF PLASTICITY, 1999, 15 (12) :1311-1340
[4]   Nonlinear kinematic hardening identification for anisotropic sheet metals with bending-unbending tests [J].
Brunet, M ;
Morestin, F ;
Godereaux, S .
JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY-TRANSACTIONS OF THE ASME, 2001, 123 (04) :378-383
[5]  
Bulhak J, 2000, INTERFEROMETRY IN SPECKLE LIGHT, P607
[6]  
CHALAL H, 2004, COMPOS PART A-APPL S, V75, P204
[7]   Anisotropic hardening equations derived from reverse-bend testing [J].
Geng, LM ;
Shen, Y ;
Wagoner, RH .
INTERNATIONAL JOURNAL OF PLASTICITY, 2002, 18 (5-6) :743-767
[8]   Simultaneous identification of stiffness and damping properties of isotropic materials from forced vibrating plates [J].
Giraudeau, A ;
Pierron, F .
COMPTES RENDUS MECANIQUE, 2003, 331 (04) :259-264
[9]   Direct identification of elastic constants of anisotropic plates by modal analysis: Experimental results [J].
Grediac, M ;
Fournier, N ;
Paris, PA ;
Surrel, Y .
JOURNAL OF SOUND AND VIBRATION, 1998, 210 (05) :643-659
[10]   Special virtual fields for the direct determination of material parameters with the virtual fields method.: 2 -: Application to in-plane properties [J].
Grédiac, M ;
Toussaint, E ;
Pierron, F .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2002, 39 (10) :2707-2730