The spinning circular disc with a radial edge crack; an exact solution

✍ Scribed by R. D. Gregory

• Publisher: Springer Netherlands
• Year: 1989
• Tongue: English
• Weight: 491 KB
• Volume: 41
• Category: Article
• ISSN: 1573-2673
• DOI: 10.1007/bf00014836

✦ Synopsis

A circular disc of radius a, made of homogeneous, isotropic, linearly elastic material, contains a radial edge crack of length b. The disc is rotating with constant angular velocity about an axis through its centre and perpendicular to its plane. The problem of determining the resulting stress and displacement fields throughout the disc is solved (within the two-dimensional linear theory) exactly and in closed form. In particular the stress intensity factor and the crack opening displacement are evaluated for both the plane stress and plane strain cases with any crack length b (0 < b < 2a) and any values of the elastic constants.