Crack Growth analysis of plates Loaded by bending and tension using dual boundary element method

This paper presents an extension of the dual boundary element method to analysis of crack growth in plates loaded in combine bending and tension. Five stress intensity factors, two for membrane behaviour and three for shear deformable plate bending are computed using the J-Integral technique. Crack growth processes are simulated with an incremental crack extension analysis based on the maximum principal stress criterion. The method is considered effective since no remeshing is required and the crack extension is modelled by adding new boundary elements to the previous crack boundaries. Several incremental crack growth analysis for different configurations and loadings are presented.

[1]  J. Telles.  A self-adaptive co-ordinate transformation for efficient numerical evaluation of general boundary element integrals , 1987 .

[2]  M. Aliabadi.  Boundary Element Formulations in Fracture Mechanics , 1997 .

[3]  Hubertus Anna Joseph Knops,et al.  Numerical simulation of crack growth in pressurized fuselages , 1994 .

[4]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[5]  Hypersingular boundary element formulation for Reissner plates , 1998 .

[6]  H. M. Boduroglu,et al.  Internal and edge cracks in a plate of finite width under bending , 1983 .

[7]  F. Erdogan,et al.  On the Crack Extension in Plates Under Plane Loading and Transverse Shear , 1963 .

[8]  F. V. Weeën.  Application of the boundary integral equation method to Reissner's plate model , 1982 .

[9]  G. Sih.  Strain-energy-density factor applied to mixed mode crack problems , 1974 .

[10]  M. Aliabadi.  A new generation of boundary element methods in fracture mechanics , 1997 .

[11]  M. H. Aliabadi,et al.  Mixed-mode J-integral method for analysis of 3D fracture problems using BEM , 1993 .

[12]  M. Aliabadi,et al.  Decomposition of the mixed-mode J-integral—revisited , 1998 .

[13]  Horacio Sosa,et al.  On invariant integrals in the analysis of cracked plates , 1989 .

[14]  Hussain,et al.  Strain Energy Release Rate for a Crack Under Combined Mode I and Mode II , 1974 .

[15]  R. S. Alwar,et al.  Influence of crack closure on the stress intensity factor for plates subjected to bending—A 3-D finite element analysis , 1983 .

[16]  D. P. Rooke,et al.  Dual boundary element incremental analysis of crack propagation , 1993 .

[17]  D. Rooke,et al.  Numerical Fracture Mechanics , 1990 .

[18]  Paul A. Wawrzynek,et al.  Discrete crack growth analysis methodology for through cracks in pressurized fuselage structures , 1995 .

[19]  D. Rooke,et al.  The dual boundary element method: Effective implementation for crack problems , 1992 .

[20]  Y. Murakami.  Stress Intensity Factors Handbook , 2006 .

[21]  E. Reissner,et al.  On bending of elastic plates , 1947 .

[22]  Alan T. Zehnder,et al.  Computation of membrane and bending stress intensity factors for thin, cracked plates , 1995 .

[23]  J. W. Eischen,et al.  Computation of stress intensity factors for plate bending via a path-independent integral , 1986 .