Calculation of the effective thermal properties of the composites based on the finite element solutions of the boundary value problems

11th International Conference on "Mesh methods for boundary-value problems and applications"

Vdovichenko, I.I.^1,2 ; Yakovlev, M.Ya.^2 ; Vershinin, A.V.^1,2 ; Levin, V.A.^1

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Main Building, 1 Leninskiye Gory, Moscow

119991, Russia^1

Fidesys LLC, MSU Science Park, Leninskie Gory, Moscow

119234, Russia^2

关键词: Analytical estimates;    Different boundary condition;    Effective properties of composites;    Effective thermal conductivity;    Finite element solution;    Numerical calculation;    Particulate materials;    Representative volume element (RVE);   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/158/1/012094/pdf
DOI  :  10.1088/1757-899X/158/1/012094

来源: IOP

【 摘 要 】

One of the key problems of mechanics of composite materials is an estimation of effective properties of composite materials. This article describes the algorithms for numerical evaluation of the effective thermal conductivity and thermal expansion of composites. An algorithm of effective thermal conductivity evaluation is based on sequential solution of boundary problems of thermal conductivity with different boundary conditions (in the form of the temperature on the boundary) on representative volume element (RVE) of composite with subsequent averaging of the resulting vector field of heat flux. An algorithm of effective thermal expansion evaluation is based on the solution of the boundary problem of elasticity (considering the thermal expansion) on a RVE of composite material with subsequent averaging of a resulting strain tensor field. Numerical calculations were performed with the help of Fidesys Composite software module of CAE Fidesys using the finite element method. The article presents the results of numerical calculations of the effective coefficients of thermal conductivity and thermoelasticity for two types of composites (single-layer fiber and particulate materials) in comparison with the analytical estimates. The comparison leads to the conclusion about the correctness of algorithms and program developed.