Temperature-dependent hysteresis in one-dimensional thermovisco-elastoplasticity

In this paper, we develop a thermodynamically consistent description of the uniaxial behavior of thermovisco-elastoplastic materials for which the total stress #sigma# contains, in addition to elastic, viscous and thermic contributions, a plastic component #sigma#"p of the form #sigma#"p(x, t)=P[#epsilon#, #theta#(x, t)](x, t). Here, #epsilon# and #theta# are the fields of strain and absolute temperature, respectively, and #left brace#P[., #theta#]#right brace#_#theta#_>_0 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 form 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. (orig.)SIGLEAvailable from TIB Hannover: RR 5549(344)+a / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman