10 research outputs found
Temperature-dependent hysteresis in one-dimensional thermovisco-elastoplasticity
summary:In this paper, we develop a thermodynamically consistent description of the uniaxial behavior of thermovisco-elastoplastic materials for which the total stress contains, in addition to elastic, viscous and thermic contributions, a plastic component of the form . Here and are the fields of strain and absolute temperature, respectively, and denotes a family of (rate-independent) hysteresis operators of Prandtl-Ishlinskii type, parametrized by the absolute temperature. The system of momentum and energy balance equations governing the space-time evolution of the material forms a system of two highly nonlinearly coupled partial differential equations involving partial derivatives of hysteretic nonlinearities at different places. It is shown that an initial-boundary value problem for this system admits a unique global strong solution which depends continuously on the data