Effects of temperature and thermo-mechanical couplings on material instabilities and strain localization of inelastic materials

摘要: A general framework for rate-independent, small-strain, thermoinelastic material behaviour is presented, which includes thermo-plasticity and -damage as particular cases. In this context, strain localization the development of instabilities are investigated to highlight roles thermal effects thermomechanical couplings. During a loading process, it shown that two conditions play essential correspond singularity isothermal adiabatic acoustic tensors. Under quasi-static conditions, (in classical sense) may occur when either these met. It involves jump in temperature rate latter case, whereas remains continuous former, but discontinuity spatial derivatives heat flux must occur. This consistent with condition stationarity acceleration waves, be homothermal propagate velocity related eigenvalues tensor. linear perturbation analysis further clarifies above findings. particular, path an infinite medium, failure positive definiteness tensors corresponds bifurcations wave-like modes arbitrary wave-length growth. dynamic unbounded growth perturbations associated only short wavelength regime divergence or flutter phenomena relative