Scaled Boundary Finite Element Method for Thermoelasticity in Voided Materials
Jan Sladek, Vladimir Sladek and Peter Stanak

doi:10.3970/cmes.2015.106.229
Source CMES: Computer Modeling in Engineering & Sciences, Vol. 106, No. 4, pp. 229-262, 2015
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Keywords Representative volume element (RVE), circular voids, 2-d problems, uncoupled thermoelasticity.
Abstract

The scaled boundary finite element method (SBFEM) is presented to study thermoelastic problems in materials with voids. The SBFEM combines the main advantages of the finite element method (FEM) and the boundary element method (BEM). In this method, only the boundary is discretized with elements leading to a reduction of spatial dimension by one. It reduces computational efforts in mesh generation and CPU. In contrast to the BEM, no fundamental solution is required, which permits to analyze general boundary value problems, where the conventional BEM cannot be applied due to missing fundamental solution. The computational homogenization technique is applied for thermo-mechanical analyses in voided materials. The evolution of the mechanical and thermal fields at the macroscopic level is resolved through the incorporation of the microstructural response. The microstructural analyses are performed on the representative volume element (RVE), where essential physical geometrical information about the microstructural components is included.

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