Accession Number:

ADA162027

Title:

Nonlinear Fracture Mechanics Analysis with the Boundary Integral Method.

Descriptive Note:

Annual technical rept. 2 Apr 84-29 Mar 85,

Corporate Author:

SOUTHWEST RESEARCH INST SAN ANTONIO TX

Personal Author(s):

Report Date:

1985-04-30

Pagination or Media Count:

36.0

Abstract:

The current research makes use of the boundary integral equation BIE method, as modified to account exactly for the elastic crack problem. The usual BIE formulation for elastic problems reduces the numerical problem to one of modeling the boundary data, while preserving the complete interior solution of the field equations. In the elastic fracture mechanics problem, the Greens function approach is used wherein the BIE is modified to account for the presence of a stress free crack at an arbitrary location within the structure. The use of the Greens function for the crack eliminates the need to model the boundary of the crack, and provides a complete mathematical description of the elastic strain field within the body, due to the crack. This clearly contrasts with the finite element method which requires that the crack surface and the interior strains be modeled with some set of interpolation functions. However, extension of the fracture mechanics model with the Greens function approach has not been previously demonstrated. The current work reports on the successful extension of the special Greens function formulation for the fracture mechanics problem to the elastoplasticity formulation. Not only has the work resulted in accurate models of crack tip plasticity for a reference problem, but it has shown some important new analytical and numerical results for cracks growing in plastic strain fields. Author

Subject Categories:

  • Numerical Mathematics
  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE