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

0410903 - UTIA-B 20020117 RIV GB eng J - Článek v odborném periodiku
Plecháč, P. - Roubíček, Tomáš
Visco-elasto-plastic model for martensitic phase transformation in shape-memory alloys.
Mathematical Methods in the Applied Sciences. Roč. 25, č. 99 (2002), s. 1281-1298. ISSN 0170-4214. E-ISSN 1099-1476
Grant CEP: GA AV ČR IAA1075005; GA ČR GA201/00/076
Výzkumný záměr: CEZ:AV0Z1075907
Klíčová slova: twinning * martensite * quasiplasticity
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.541, rok: 2002

Evolution of fine structure in martensite undergoing an isothermal process is modeled 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 the convergence of finite-element approximations. Numerical experiments are also presented.
Trvalý link: http://hdl.handle.net/11104/0130990