Mesh-independent discrete numerical representations of cohesive-zone models

被引:137
作者
de Borst, R
Remmers, JJC
Needleman, A
机构
[1] Delft Univ Technol, Fac Aerosp Engn, NL-2600 GB Delft, Netherlands
[2] Inst Natl Sci Appl, CNRS, UMR 5514, LaMCoS, F-69621 Villeurbanne, France
[3] Brown Univ, Div Engn, Providence, RI 02912 USA
关键词
cohesive zone models; partition of unity method; cohesive segments method; crack growth; dynamic fracture;
D O I
10.1016/j.engfracmech.2005.05.007
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The importance of the cohesive-zone approach to analyse localisation and fracture in engineering materials is emphasised and ways to incorporate the cohesive-zone methodology in computational methods are discussed. Until recently, numerical implementations of cohesive-zone models have suffered from a certain mesh bias. For discrete representations this is caused by the initial mesh design, while for smeared representations it is rooted in the ill-posedness of the rate boundary value problem that arises upon the introduction of decohesion. A proper representation of the discrete character of cohesive-zone formulations which avoids any mesh bias is obtained by exploiting the partition-of-unity property of finite element shape functions. The recently developed cohesive segments method, which is well-suited for simulating the entire process of crack nucleation, growth and coalescence is reviewed. The effectiveness of this approach is illustrated by some examples for crack nucleation and growth in heterogeneous materials and for fast crack growth. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:160 / 177
页数:18
相关论文
共 57 条
[1]   INTERLAMINAR INTERFACE MODELING FOR THE PREDICTION OF DELAMINATION [J].
ALLIX, O ;
LADEVEZE, P .
COMPOSITE STRUCTURES, 1992, 22 (04) :235-242
[2]   Geometrical and interfacial non-linearities in the analysis of delamination in composites [J].
Allix, O ;
Corigliano, A .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1999, 36 (15) :2189-2216
[3]   Non-linear analysis of shells with arbitrary evolving cracks using XFEM [J].
Areias, PMA ;
Belytschko, T .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2005, 62 (03) :384-415
[4]  
Babuska I, 1997, INT J NUMER METH ENG, V40, P727, DOI 10.1002/(SICI)1097-0207(19970228)40:4<727::AID-NME86>3.0.CO
[5]  
2-N
[6]  
Barenblatt GI., 1962, ADV APPL MECH, V7, P55, DOI [10.1016/S0065-2156(08)70121-2, DOI 10.1016/S0065-2156(08)70121-2]
[7]  
Belytschko T, 1999, INT J NUMER METH ENG, V45, P601, DOI 10.1002/(SICI)1097-0207(19990620)45:5<601::AID-NME598>3.0.CO
[8]  
2-S
[9]   EFFICIENT LARGE-SCALE NONLINEAR TRANSIENT ANALYSIS BY FINITE-ELEMENTS [J].
BELYTSCHKO, T ;
CHIAPETTA, RL ;
BARTEL, HD .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1976, 10 (03) :579-596
[10]   Computational modelling of impact damage in brittle materials [J].
Camacho, GT ;
Ortiz, M .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1996, 33 (20-22) :2899-2938