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A Three-Dimensional CQBEM Model for Thermal Stress Sensitivities in Anisotropic Materials |
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PP: 489-495 |
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doi:10.18576/amis/190301
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Author(s) |
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Mohamed A. Fahmy,
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Abstract |
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| The fundamental purpose of this article is to propose a three-dimensional (3D) convolution quadrature boundary element method (CQBEM) model for precisely calculating thermal stress sensitivity in anisotropic materials. The volume integral is approximated in a discretized version of the problem, and the singularity along the boundary is handled using the convolution quadrature model. The three-dimensional and time-dependent heat equation is solved using a continuous convolution quadrature, while the temporal convolution integrals are discretized in space using the trapezoidal rule. Iterating through the CQBEM solutions for each point of the convolution quadrature rule provides for efficient convergence to the steady state solution. The model can be used to calculate thermal stress gradients in relation to the geometrical parameter in the parametric design of heterogeneous anisotropic materials.
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