Visco‐elasto‐plastic model for martensitic phase transformation in shape‐memory alloys |
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Authors: | Petr Plech
,Tom Roubí
ek |
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Affiliation: | Petr Plecháč,Tomáš Roubíček |
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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. |
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Keywords: | twinning martensite quasiplasticity non‐convex variational problems double‐well problem evolution dissipation activation |
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