Numerical modeling of crack growth under dynamic loading conditions

Abstract A framework for modeling crack growth is described that is based on introducing one or more cohesive surfaces into a continuum. Constitutive relations are specified independently for the material and for the cohesive surfaces. Fracture emerges as a natural outcome of the deformation process, without introducing an additional failure criterion. The characterization of the mechanical response of a cohesive surface involves both an interfacial strength and the work of separation per unit area, which introduces a characteristic length into the formulation. Finite element analyses are carried out for a plane strain block with an initial central crack, subject to impact loading. The crack is constrained to grow along the initial crack line. Numerical results are presented for elastic and elastic-viscoplastic solids using various degrees of mesh refinement.

[1]  A. Needleman,et al.  A tangent modulus method for rate dependent solids , 1984 .

[2]  Xiaopeng Xu,et al.  Numerical simulations of dynamic crack growth along an interface , 1996 .

[3]  L. Freund,et al.  Computational methods based on an energy integral in dynamic fracture , 1985 .

[4]  Thomas Siegmund,et al.  A numerical study of dynamic crack growth in elastic-viscoplastic solids , 1997 .

[5]  Alan J. Levy,et al.  Separation at a circular interface under biaxial load , 1994 .

[6]  J. Hutchinson,et al.  The relation between crack growth resistance and fracture process parameters in elastic-plastic solids , 1992 .

[7]  D. S. Dugdale.  Yielding of steel sheets containing slits , 1960 .

[8]  Xiaopeng Xu,et al.  Void nucleation by inclusion debonding in a crystal matrix , 1993 .

[9]  Zhigang Suo,et al.  Stability of solids with interfaces , 1992 .

[10]  T. Belytschko,et al.  Efficient large scale non‐linear transient analysis by finite elements , 1976 .

[11]  J. Rice.  A path-independent integral and the approximate analysis of strain , 1968 .

[12]  Xiaopeng Xu,et al.  Numerical simulations of dynamic interfacial crack growth allowing for crack growth away from the bond line , 1996 .

[13]  A. Needleman.  A Continuum Model for Void Nucleation by Inclusion Debonding , 1987 .

[14]  G. I. Barenblatt.  THE MATHEMATICAL THEORY OF EQUILIBRIUM CRACKS IN BRITTLE FRACTURE , 1962 .

[15]  J. Hutchinson,et al.  The influence of plasticity on mixed mode interface toughness , 1993 .

[16]  Subra Suresh,et al.  Micromechanical modeling of reinforcement fracture in particle-reinforced metal-matrix composites , 1994 .

[17]  A. Needleman.  An analysis of tensile decohesion along an interface , 1990 .

[18]  Xiaopeng Xu,et al.  Numerical simulations of fast crack growth in brittle solids , 1994 .

[19]  Thomas Siegmund,et al.  Numerical Studies of Fast Crack Growth in Elastic-Plastic Solids , 1997 .