Open AccessCalculation of elastic-creeping characteristics of a beam made of a layered composite material
Author(s) -
Tatiana Bobyleva,
А. С. Шамаев
Publication year - 2021
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.179
H-Index - 26
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/1030/1/012025
Subject(s) - laplace transform , homogenization (climate) , isotropy , transverse isotropy , creep , elasticity (physics) , mathematical analysis , inverse laplace transform , exponential function , beam (structure) , mathematics , asymptotic homogenization , inverse , material properties , materials science , geometry , composite number , composite material , physics , optics , biodiversity , ecology , biology
Multilayer composite materials are often used in building structures. The direct calculation of layered structures requires large expenditures of computer time. Therefore, the homogenization method is used. This method reduces the problem of a layered material with isotropic layers to the problem of a homogeneous transversely isotropic medium. The material considered in the article is also elastic-creeping. In the equations of state of such a material, terms of the convolution type with difference creep (relaxation) kernels are added to the terms of the usual theory of elasticity. The creep (relaxation) kernels are represented by decreasing exponential functions depending on two parameters. This problem becomes a problem of the theory of elasticity with a parameter after applying the Laplace transform in time to it. The inverse Laplace transform can be done in a computer algebra package, for example, Wolfram Mathematica, Wolfram-alpha. The obtained characteristics of the material are used to solve the problem of a layered elastic-creeping beam with hinge support. Formulas are given for determining displacements in the case of layers parallel to the beam axis.