Modelling the state of stress and strain in layered structure under heat loading

Abstract

Abstract Currently, the layered materials have a wide application in the industry, and also occur in nature. The lamination, as a principal characteristic of composite materials, influences the physical and mechanical properties of the whole material. In some cases, it is sufficient to take into account the effect of heat on the change of strength properties of medium to assess the state of stress and strain of these materials subject to heat action. In this work, a similar method is used for a region of the Earth’s crust and mantle, when the parameters of Drucker-Prager-Nikolaevsky elastic-plastic model change with depth as a result of heat action from the mantle. To analyse the stress state the parameters are used, which corresponds to the three invariants of stress tensor—pressure, von Mises stress, and Lode parameter. The distributions of all three parameters are heterogeneous, which is determined not only by the peculiarities of layered structures of the geological object but heat effect from the mantle as well.