Visco‐elasto‐plastic model for martensitic phase transformation in shape‐memory alloys
- 20 September 2002
- journal article
- research article
- Published by Wiley in Mathematical Methods in the Applied Sciences
- Vol. 25 (15) , 1281-1298
- https://doi.org/10.1002/mma.335
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.Keywords
Funding Information
- UDRF (19990415)
- GAČR (201/00/0768)
- GAAVČR (A 107 5005)
- MSMT CR (MSM 11320007)
- NSF/Czech (2996K1020)
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