Calculation of stress intensity factors by the force method

The force method is a simple and accurate technique for calculating stress intensity factors (SIFs) from finite element (FE) models, but it has been scarcely used. This paper shows three important advantages of the force method, which make it particularly attractive for designers and researchers. First, it can be employed without special singular quadratic finite elements at the crack tip. Actually, linear reduced integration elements may be used. Second, the force method can be applied to highly anisotropic materials without requiring knowledge of complicated elasticity relations for the stress field around the crack tip. Third, it can handle mixed-mode fracture problems.

[1]  Paul A. Wawrzynek,et al.  Methods for calculating stress intensity factors in anisotropic materials: Part I—z = 0 is a symmetric plane , 2005 .

[2]  Shuodao Wang,et al.  A Mixed-Mode Crack Analysis of Isotropic Solids Using Conservation Laws of Elasticity , 1980 .

[3]  Ronald Krueger,et al.  The Virtual Crack Closure Technique : History , Approach and Applications , 2002 .

[4]  G. Bezine,et al.  Advantages of the J-integral approach for calculating stress intensity factors when using the commercial finite element software ABAQUS , 2005 .

[5]  M. Kanninen,et al.  A finite element calculation of stress intensity factors by a modified crack closure integral , 1977 .

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

[7]  H. T. Corten,et al.  A mixed-mode crack analysis of rectilinear anisotropic solids using conservation laws of elasticity , 1980 .

[8]  I. Raju,et al.  Evaluation of Stress-Intensity Factors Using General Finite-Element Models , 1999 .

[9]  H. Saunders,et al.  Advanced Fracture Mechanics , 1985 .

[10]  R. Barsoum On the use of isoparametric finite elements in linear fracture mechanics , 1976 .

[11]  James C. Newman,et al.  Three dimensional finite-element analysis of finite-thickness fracture specimens , 1977 .

[12]  R. R. James,et al.  Refinements to the Mixed-Mode Bending Test for Delamination Toughness , 2000 .

[13]  H. Ishikawa,et al.  J INTEGRAL OF A MIXED MODE CRACK AND ITS APPLICATION , 1980 .

[14]  Tong Earn Tay,et al.  Characterization and analysis of delamination fracture in composites: An overview of developments from 1990 to 2001 , 2003 .