The stress intensity factors of slightly undulating interface cracks of bimaterials

✍ Scribed by Chao-Hsun Chen; Jinhon Hsu

• Publisher: Springer Netherlands
• Year: 1996
• Tongue: English
• Weight: 714 KB
• Volume: 80
• Category: Article
• ISSN: 1573-2673
• DOI: 10.1007/bf00018508

✦ Synopsis

A modified interface crack with slightly undulating profile, which has a good agreement with reality and retains the simplicity of a mathematical model, is presented in this paper. This model is utilized to reveal some of the properties of uneven cracks, especially the stress intensity factors. As we know, many failures occurring in the interface are induced by crucial lateral stresses which are parallel to the interface. Hence, when the lateral stresses are much stronger than others, the corresponding solution is also derived for understanding how the lateral stresses affect the stress intensity factors as the crack is uneven. In the present paper, the Hilbert's problem enables different perturbed-interface cracks to be solved in an unified manner. Muskhelishvili's potential formulation is used to derive, by means of a perturbation analysis technique, an homogeneous and general Hilbert's problem.