Optimal shape remodelling of linearly elastic plates using finite element methods

✍ Scribed by Moon-Soo Na; Noboru Kikuchi; John E. Taylor

• Publisher: John Wiley and Sons
• Year: 1984
• Tongue: English
• Weight: 847 KB
• Volume: 20
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/nme.1620201006

✦ Synopsis

The optimality conditions for the optimal shape remodelling of linearly elastic plates are obtained by introducing the total variation of a function defined on a variable domain, although the variation of a function has been taken on a fixed domain in most literature on calculus of variations. Using these optimality conditions, a solution scheme involving an iterative algorithm is proposed, together with several numerical examples.