MATEC Web Conf.
Volume 196, 2018XXVII R-S-P Seminar, Theoretical Foundation of Civil Engineering (27RSP) (TFoCE 2018)
|Number of page(s)||8|
|Published online||03 September 2018|
Problem of modelling a layered medium taking into account the creep of its materials
Moscow State University of Civil Engineering,
Yaroslavskoye shosse, 26,
2 Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Pr. Vernadskogo, 101-1, Moscow, 119526, Russia
3 Lomonosov Moscow State University, GSP-1, Leninskie Gory, Moscow, 119991, Russia
Corresponding author : email@example.com
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.
© The Authors, published by EDP Sciences, 2018
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