A robust and consistent remeshing-transfer operator for ductile fracture simulations

被引:67
作者
Mediavilla, J
Peerlings, RHJ
Geers, MGD
机构
[1] Eindhoven Univ Technol, Dept Engn Mech, NL-5600 MB Eindhoven, Netherlands
[2] Netherlands Inst Met Res, NL-2628 AL Delft, Netherlands
关键词
ductile damage; ductile fracture; finite element method; discrete crack; remeshing; transfer;
D O I
10.1016/j.compstruc.2005.10.007
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper addresses the numerical simulation of quasi-static ductile fracture. The main focus is on numerical and stability aspects related to discrete crack propagation. Crack initiation and propagation are taken into account, both driven by the evolution of a discretely coupled damage variable. Discrete ductile failure is embedded in a geometrically nonlinear hyperelasto-plastic model, triggered by an appropriate criterion that has been evaluated for tensile and shear failure. A crack direction criterion is proposed, which is validated for both failure cases and which is capable of capturing the experimentally observed abrupt tensile-shear transition. In a large strain finite element context, remeshing enables to trace the crack geometry as well as to preserve an adequate element shape. Stability of the computations is an important issue during crack propagation that can be compromised by two factors, i.e. large stress redistributions during the crack opening and the transfer of variables between meshes. A numerical procedure is developed that renders crack propagation considerably more robust, independently of the mesh fineness and crack discretisation. A consistent transfer algorithm and a crack relaxation method are proposed and implemented for this purpose. Finally, illustrative simulations are compared with published experimental results to highlight the features mentioned. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:604 / 623
页数:20
相关论文
共 80 条
[1]   A new generation of boundary element methods in fracture mechanics [J].
Aliabadi, MH .
INTERNATIONAL JOURNAL OF FRACTURE, 1997, 86 (1-2) :91-125
[2]  
AMSTUTZ BE, 1997, FATIGUE FRACT, V27, P217
[3]  
AMSTUTZ BE, 1996, FRACTURE MECH, V26, P256
[4]  
Anderson TL., 1994, FRACTURE MECH FUNDAM, P41
[5]   FINITE-ELEMENT REPRESENTATION OF STABLE CRACK-GROWTH [J].
ANDERSSON, H .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1973, 21 (05) :337-356
[6]   A LOCAL CRITERION FOR CLEAVAGE FRACTURE OF A NUCLEAR PRESSURE-VESSEL STEEL [J].
不详 .
METALLURGICAL TRANSACTIONS A-PHYSICAL METALLURGY AND MATERIALS SCIENCE, 1983, 14 (11) :2277-2287
[7]   METHOD TO PRODUCE UNIFORM PLANE-STRESS STATES WITH APPLICATIONS TO FIBER-REINFORCED MATERIALS [J].
ARCAN, M ;
HASHIN, Z ;
VOLOSHIN, A .
EXPERIMENTAL MECHANICS, 1978, 18 (04) :141-146
[8]   A general framework for continuum damage models. II. Integration algorithms, with applications to the numerical simulation of porous metals [J].
Armero, F ;
Oller, S .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2000, 37 (48-50) :7437-7464
[9]  
Barenblatt GI., 1962, ADV APPL MECH, V7, P55, DOI [10.1016/S0065-2156(08)70121-2, DOI 10.1016/S0065-2156(08)70121-2]
[10]  
Bathe K, 2007, Finite element procedures