Journal de Physique IV

8th International Conference on Mehanical and Physical Behaviour of Materials under Dynamic Loading
J. Cirne, R. Dormeval, et al.
J. Phys. IV France 134 (2006) 209-215
DOI: 10.1051/jp4:2006134032

Constitutive equation for viscoelastic media with temperature effect at high rates of loading

J.V. Suvorova¹, S.I. Alexeeva¹ and I.V. Viktorova²

¹ Mechanical Engineering Research Institute, Moscow, Russia
² Clemson University, Clemson, USA

(Published online 26 July 2006)

Abstract
Constitutive equation for the hereditary type media under high rates of loading with temperature effects is proposed. It is based on the original principle of temperature inclusion in hereditary integral equation. The curve $\varphi (\varepsilon )$ , which is the curve of instantaneous deformation, is considered at the same time as the curve of absolutely zero temperature. It is the equation of curve, which bounds the whole process of loading from above. The cases are considered when the history of temperature changing can be neglected and we can take f[ T(t), $T(\tau )] = T^{\gamma }(t)$ , where T - temperature in Kelvin degrees. The examples are given, which show an analogy between the processes with abrupt changing of loading rate and abrupt changing of temperature.