Limit analysis method in elastostatics and electrostatics

✍ Scribed by Igor A. Brigadnov

• Publisher: John Wiley and Sons
• Year: 2005
• Tongue: English
• Weight: 208 KB
• Volume: 28
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.557

✦ Synopsis

Abstract

The limit analysis method for an estimation of mechanical and electrical strength safety conditions for non‐linear elastic and dielectric solids, respectively, is examined. By the variational method and the duality theory, the appropriate initial and dual limit analysis problems (LAPs) are formulated. It is demonstrated that the initial LAPs need a relaxation, but the appropriate fully relaxed problems have no clear physical interpretation. On the other hand, the dual LAPs have a clear physical interpretation. The general initial and dual LAPs for quasi‐static problems of Continuum Mechanics are formulated. The appropriate 2‐D finite‐element approximations and numerical solutions are presented. Copyright © 2004 John Wiley & Sons, Ltd.