| Issue |
MATEC Web Conf.
Volume 196, 2018
XXVII R-S-P Seminar, Theoretical Foundation of Civil Engineering (27RSP) (TFoCE 2018)
|
|
|---|---|---|
| Article Number | 01030 | |
| Number of page(s) | 8 | |
| Section | Structural Mechanics | |
| DOI | https://doi.org/10.1051/matecconf/201819601030 | |
| Published online | 03 September 2018 | |
Problem of modelling a layered medium taking into account the creep of its materials
1
Moscow State University of Civil Engineering,
Yaroslavskoye shosse, 26,
Moscow,
129337,
Russia
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 : tatyana2211@outlook.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
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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