TY - GEN A1 - Paoli, Laetitia A1 - Petrov, Adrien T1 - Global existence result for thermoviscoelastic problems with hysteresis N2 - We consider viscoelastic solids undergoing thermal expansion and exhibiting hysteresis effects due to plasticity or phase transformations. Within the framework of generalized standard solids, the problem is described in a 3D setting by the momentum equilibrium equation, the flow rule describing the dependence of the stress on the strain history, and the heat transfer equation. Under appropriate regularity assumptions on the data, a local existence result for this thermodynamically consistent system is established, by combining existence results for ordinary differential equations in Banach spaces with a fixed-point argument. Then global estimates are obtained by using both the classical energy estimate and more specific techniques for the heat equation introduced by Boccardo and Gallouet. Finally a global existence result is derived. KW - Existence result KW - generalized standard materials KW - heat equation KW - enthalpy transformation KW - maximal monotone operators KW - doubly nonlinear equations KW - plasticity KW - shape-memory alloys Y1 - 2015 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/879 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-8798 ER -