A computational verification method of existence of solution for elastoplastic torsion problems with uniqueness

✍ Scribed by Cheon Seoung Ryoo; Sang Hun Lee

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 217 KB
• Volume: 13
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/s0893-9659(00)00049-5

✦ Synopsis

We propose a numerical method to verify the existence and uniqueness of solutions to elasto-plastic torsion problems. We numerically construct a set containing solutions which satisfies the hypothesis of Banach fixed-point theorem in a certain Sobolev space.