Boundary integral equation fracture mechanics analysis of plane orthotropic bodies

✍ Scribed by C. L. Tan; Y. L. Gao

• Publisher: Springer Netherlands
• Year: 1992
• Tongue: English
• Weight: 899 KB
• Volume: 53
• Category: Article
• ISSN: 1573-2673
• DOI: 10.1007/bf00034182

✦ Synopsis

In this paper, a quick and efficient means of determining stress intensity factors, K~ and Kn, for cracks in generally orthotropic elastic bodies is presented using the numerical boundary integral equation (BIE) method. It is based on the use of quarter-point singular crack-tip elements in the quadratic isoparametric element formulation, similar to those commonly employed in the BIE fracture mechanics studies in isotropic elasticity. Analytical expressions which enable K~ and K u to be obtained directly from the BIE computed crack-tip nodal traction, or from the computed nodal displacements, of these elements are derived. Numerical results for a number of test problems are compared with those established in the literature. They are accurate even when only a very modest number of boundary elements are used.