A rate-dependent cohesive continuum model for the study of crack dynamics

被引:15
作者
Nguyen, TD [1 ]
Govindjee, S
Klein, PA
Gao, H
机构
[1] Stanford Univ, Dept Mech Engn, Div Mech & Computat, Stanford, CA 94305 USA
[2] Univ Calif Berkeley, Dept Civil Engn, Berkeley, CA 94720 USA
[3] Sandia Natl Labs, Sci Based Mat Modeling Dept, Livermore, CA 94551 USA
[4] Max Planck Inst Met Phys, Dept Theory Mesoscop Phenomena, D-70569 Stuttgart, Germany
基金
中国国家自然科学基金; 美国国家科学基金会;
关键词
dynamic fracture; nonlinear viscoelasticity; cohesive model; crack propagation; internal bond model;
D O I
10.1016/j.cma.2003.09.024
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A rate-dependent cohesive continuum model is developed to represent material particles interacting in a viscous medium. Interactions between material particles are modeled using a cohesive force law while microstructural resistance to relaxation is represented by a phenomenological continuum viscosity function. The model exhibits two failure mechanisms, elastic bond breaking and viscous weakening, which combine to induce rate dependence in the cohesive strength, fracture energy, and cohesive state wave speed. The model is used to simulate dynamic crack propagation. Results display rate-dependent terminal speeds which correspond to the cohesive strength and not to the local driving force; thus supporting the local limiting speed hypothesis. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:3239 / 3265
页数:27
相关论文
共 38 条
[1]  
Achenbach J. D., 1984, WAVE PROPAGATION ELA
[2]  
[Anonymous], ENG COMPUT, DOI DOI 10.1108/EB023876>
[3]   LARGE INELASTIC DEFORMATION OF GLASSY-POLYMERS .1. RATE DEPENDENT CONSTITUTIVE MODEL [J].
BOYCE, MC ;
PARKS, DM ;
ARGON, AS .
MECHANICS OF MATERIALS, 1988, 7 (01) :15-33
[4]   THERMODYNAMICS WITH INTERNAL STATE VARIABLES [J].
COLEMAN, BD ;
GURTIN, ME .
JOURNAL OF CHEMICAL PHYSICS, 1967, 47 (02) :597-&
[5]   Soft adhesives [J].
deGennes, PG .
LANGMUIR, 1996, 12 (19) :4497-4500
[6]   INSTABILITY IN DYNAMIC FRACTURE [J].
FINEBERG, J ;
GROSS, SP ;
MARDER, M ;
SWINNEY, HL .
PHYSICAL REVIEW LETTERS, 1991, 67 (04) :457-460
[7]   INSTABILITY IN THE PROPAGATION OF FAST CRACKS [J].
FINEBERG, J ;
GROSS, SP ;
MARDER, M ;
SWINNEY, HL .
PHYSICAL REVIEW B, 1992, 45 (10) :5146-5154
[8]  
Freund L.B., 1998, Dynamic Fracture Mechanics
[9]  
GAO H, 2000, ADV COMPUTATIONAL EN, P1766
[10]   Numerical simulation of crack growth in an isotropic solid with randomized internal cohesive bonds [J].
Gao, HJ ;
Klein, P .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1998, 46 (02) :187-218