Visco-elasto-plastic model for martensitic phase transformation in shape-memory alloys

✍ Scribed by Petr Plecháč; Tomáš Roubíček

• Publisher: John Wiley and Sons
• Year: 2002
• Tongue: English
• Weight: 195 KB
• Volume: 25
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.335

✦ Synopsis

Abstract

Evolution of fine structure in martensite undergoing an isothermal process is modelled on a microscopic level by using a positive homogeneous dissipation potential which can reflect a specific energy needed for a phase transformation between different variants of martensite. The model thus naturally incorporates an activation phenomenon. Existence of a weak solution is proved together with convergence of finite‐element approximations. Numerical experiments showing the expected rate‐independent hysteresis response are also presented. Copyright © 2002 John Wiley & Sons, Ltd.