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Mesh-Free Simulation in Elastic-Plastic Fracture Mechanics

[+] Author Affiliations
B. N. Rao, S. Rahman

The University of Iowa, Iowa City, IA

Paper No. PVP2002-1199, pp. 103-123; 21 pages
  • ASME 2002 Pressure Vessels and Piping Conference
  • New and Emerging Computational Methods: Applications to Fracture, Damage, and Reliability
  • Vancouver, BC, Canada, August 5–9, 2002
  • Conference Sponsors: Pressure Vessels and Piping Division
  • ISBN: 0-7918-1949-3
  • Copyright © 2002 by ASME


This paper presents an enriched meshless method for fracture analysis of cracks in homogeneous, isotropic, nonlinear-elastic, two-dimensional solids, subject to mode-I loading conditions. The method involves an element-free Galerkin formulation and two new enriched basis functions (Type I and Type II) to capture the Hutchinson-Rice-Rosengren singularity field in nonlinear fracture mechanics. The Type I enriched basis function can be viewed as a generalized enriched basis function, which degenerates to the linear-elastic basis function when the material hardening exponent is unity. The Type II enriched basis function entails further improvements of the Type I basis function by adding trigonometric functions. Three numerical examples are presented to illustrate the proposed method. The boundary layer analysis indicates that the crack-tip field predicted by using the proposed basis functions matches with the theoretical solution very well in the whole region considered, whether for the near-tip asymptotic field or for the far-tip elastic field. Numerical analyses of standard fracture specimens by the proposed meshless method also yield accurate estimates of the J-integral for the applied load intensities and material properties considered. Furthermore, the meshless results show excellent agreement with the experimental measurements, indicating that the new basis functions are also capable of capturing elastic-plastic deformations at a stress concentration effectively.

Copyright © 2002 by ASME



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