Simplified Greens functions for mode I and II cracks

✍ Scribed by Scott W. Fowser; Tsu-Wei Chou

• Book ID: 104614354
• Publisher: Springer Netherlands
• Year: 1989
• Tongue: English
• Weight: 706 KB
• Volume: 39
• Category: Article
• ISSN: 1573-2673
• DOI: 10.1007/bf00017703

✦ Synopsis

When using integral equation techniques to solve fracture mechanics problems, a solution for the stress and displacement fields surrounding an arbitrarily loaded crack face within an infinite two-dimensional plane can be used to accurately represent the behavior of the crack. It is advantageous to have this solution in as simple a form as possible, since the accuracy and computation time for numerical solution of the integral equations is improved by using less complex kernels. Previous solutions for the Green's functions for loaded cracks in an infinite domain involve lengthy complex variable expressions or double integrals with Cauchy and crack tip singularities. The results presented here are a simplification of a previous double integral solution, and the simplified result is a single integral representation with a non-singular integrand which involves only real numbers. Both the mode I and mode II problems are reduced to this simplified form, and the two may be combined for mixed mode two-dimensional crack problems.