On elastic joints containing interfacial cracks

✍ Scribed by A.A. Spector; R.C. Batra

• Book ID: 103073455
• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 714 KB
• Volume: 53
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(95)00094-1

✦ Synopsis

We study quasistatic deformations of a massive elastic body bonded to an infinite elastic layer of finite thickness whose other surface is glued to a half space. The adhesive is modeled as a nonlinear elastic material. It is assumed that interfacial cracks are present at the body/adhesive interface and at the interface between the elastic layer and adhesive material closer to the half space. Variational formulations of the problems when the material of the half space is modeled as isotropic linear elastic or as rigid are given and are shown to be equivalent to the corresponding boundary-value problems. Analytical solutions of two example problems are given; one involves a long rigid cylinder bonded to a rigid half space and the other a thin infinite linear elastic plate bonded to a rigid half space. The results depicted graphically include the dependence of the crack closure length on the applied loads and the dependence of the gradient of the potential energy on the crack length for the first problem, and distributions of the normal stress and normal displacement on the crack surface for the second problem.