Phase-field study of crack nucleation and propagation in elastic-perfectly plastic bodies

被引:27
作者
Brach, Stella [1 ]
Tanne, Erwan [2 ]
Bourdin, Blaise [3 ]
Bhattacharya, Kaushik [1 ]
机构
[1] CALTECH, Div Engn & Appl Sci, Pasadena, CA 91125 USA
[2] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada
[3] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA
基金
美国国家科学基金会;
关键词
Fracture; Variational approach; Plasticity; Phase field; Crack nucleation; Crack propagation; GRADIENT DAMAGE MODELS; DUCTILE FRACTURE; BRITTLE-FRACTURE; FAILURE; GROWTH; FORMULATION; CRITERIA; RUPTURE;
D O I
10.1016/j.cma.2019.04.027
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Crack initiation and propagation in elastic-perfectly plastic bodies is studied in a phase-field or variational gradient damage formulation. A rate-independent formulation that naturally couples elasticity, perfect plasticity and fracture is presented, and used to study crack initiation in notched specimens and crack propagation using a surfing boundary condition. Both plane strain and plane stress are addressed. It is shown that in plane strain, a plastic zone blunts the notch or crack tip which in turn inhibits crack nucleation and propagation. Sufficient load causes the crack to nucleate or unpin, but the crack does so with a finite jump. Therefore the propagation is intermittent or jerky leaving behind a rough surface. In plane stress, failure proceeds with an intense shear zone ahead of the notch or crack tip and the fracture process is not complete. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码:44 / 65
页数:22
相关论文
共 44 条
[1]   Coupling damage and plasticity for a phase-field regularisation of brittle, cohesive and ductile fracture: One-dimensional examples [J].
Alessi, Roberto ;
Marigo, Jean-Jacques ;
Maurini, Corrado ;
Vidoli, Stefano .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2018, 149 :559-576
[2]   Gradient damage models coupled with plasticity: Variational formulation and main properties [J].
Alessi, Roberto ;
Marigo, Jean-Jacques ;
Vidoli, Stefano .
MECHANICS OF MATERIALS, 2015, 80 :351-367
[3]   Gradient Damage Models Coupled with Plasticity and Nucleation of Cohesive Cracks [J].
Alessi, Roberto ;
Marigo, Jean-Jacques ;
Vidoli, Stefano .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2014, 214 (02) :575-615
[4]   Phase-field modeling of ductile fracture [J].
Ambati, M. ;
Gerasimov, T. ;
De Lorenzis, L. .
COMPUTATIONAL MECHANICS, 2015, 55 (05) :1017-1040
[5]   APPROXIMATION OF FUNCTIONALS DEPENDING ON JUMPS BY ELLIPTIC FUNCTIONALS VIA GAMMA-CONVERGENCE [J].
AMBROSIO, L ;
TORTORELLI, VM .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1990, 43 (08) :999-1036
[6]  
[Anonymous], 1999, Fractography: Observing, Measuring and Interpreting Fracture Surface Topography
[7]  
[Anonymous], 1987, Computation of Singular Solutions in Elliptic Problems and Elasticity
[8]  
[Anonymous], 1967, Prikl. Mat. Mekh. (USSR), DOI DOI 10.1016/0021-8928(67)90034-2
[9]  
[Anonymous], 1989, A course on nonlinear fracture mechanics, Department of Solid Mechanics
[10]  
Balay S, 1997, MODERN SOFTWARE TOOLS FOR SCIENTIFIC COMPUTING, P163