Visco‐elasto‐plastic model for martensitic phase transformation in shape‐memory alloys | Zendy

Plecháč Petr | Zendy; Roubíček Tomáš | Zendy

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

Author(s) -

Plecháč Petr,

Roubíček Tomáš

Publication year - 2002

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.335

Subject(s) - isothermal process , dissipation , martensite , hysteresis , shape memory alloy , homogeneous , mathematics , finite element method , transformation (genetics) , convergence (economics) , phase (matter) , thermodynamics , mathematical analysis , mechanics , materials science , physics , metallurgy , condensed matter physics , microstructure , chemistry , biochemistry , quantum mechanics , economic growth , gene , economics , combinatorics

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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