On large axisymmetrical deflection states of spherical shells

✍ Scribed by Gregory A. Kriegsmann; Charles G. Lange

• Publisher: Springer Netherlands
• Year: 1980
• Tongue: English
• Weight: 705 KB
• Volume: 10
• Category: Article
• ISSN: 0374-3535
• DOI: 10.1007/bf00044502

✦ Synopsis

A boundary layer analysis is carried out to determine the possible form of large axisymmetrical deflection states for thin elastic spherical shells subjected to uniform external pressure. For the case of complete spheres it is shown that the governing equations admit boundary layer solutions corresponding to large deflections provided the pressure is sufficiently small. However, such solutions are found to exist for nonshallow clamped spherical caps for a much wider range of pressure. Numerical results are presented for the latter case.