Abstract
An advanced computational method for transient heat conduction analysis in 3-D axisymmetric continuously nonhomogeneous functionally graded materials (FGM) is proposed. The analysed domain is covered by small circular subdomains. On each subdomain local boundary integral equations for the transient heat conduction problem are derived in the Laplace transform domain. The meshless approximation based on the moving least-squares method is employed for the numerical implementation. The Stehfest algorithm is applied for the numerical Laplace inversion to obtain the temporal variation. Numerical results are presented for finite full and hollow cylinders with an exponential variation of material parameters with spatial coordinates.
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The authors acknowledge the support by the Slovak Science and Technology Assistance Agency registered under number APVT-51-003702, and the Project for Bilateral Cooperation in Science and Technology supported jointly by the International Bureau of the German BMBF and the Ministry of Education of Slovak Republic under the project number SVK 01/020.
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Sladek, J., Sladek, V., Krivacek, J. et al. Local BIEM for transient heat conduction analysis in 3-D axisymmetric functionally graded solids. Computational Mechanics 32, 169–176 (2003). https://doi.org/10.1007/s00466-003-0470-z
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DOI: https://doi.org/10.1007/s00466-003-0470-z