The nonlinear hereditary-type stress-strain relations for metals with temperature effects

The objective of this paper is to present the approach to the development of hereditary-type theory with due account of temperature influencing the time dependent mechanical behavior of metals and alloys. The primary step included the designing of the model with the hereditary-type governing equation structured to account for the thermal effect. It is shown that the whole temperature influence can be modeled by introducing the special power function with one additional parameter, which is put under the integral. Isothermal and quasi-isothermal processes with abrupt change of temperature are considered. The proposed hereditary-type model with temperature effect is verified experimentally.