Problem of modelling a layered medium taking into account the creep of its materials

Publisher: Edp Sciences

E-ISSN: 2261-236x|196|issue|01030-01030

ISSN: 2261-236x

Source: MATEC Web of conference, Vol.196, Iss.issue, 2018-09, pp. : 01030-01030

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Abstract

Problems for heterogeneous materials arise in many areas of construction. This article deals with elastic-creeping layered composite materials. Relations of the theory of linear heredity of Boltzmann-Volterra are accepted. Creep kernels are given by the sum of a finite number of decreasing exponential functions. Such sum of several exponential functions can be used to approximate the experimental data for the creep and relaxation kernels with a given accuracy. It is obtained that the resulting homogeneous medium is described by a creep kernel, which is also a sum of decreasing exponential functions. Algorithm for the rapid and accurate calculation of averaged creep kernels of a homogenized material is proposed. Some qualitative properties of the received homogenized model are analyzed.