Heat conduction analysis of 3-D axisymmetric and anisotropic FGM bodies by meshless local Petrov-Galerkin method. (English) Zbl 1169.80001
In the paper a local boundary integral equation method with the moving least-squares approximation for spatial variations of physical fields together with using the Laplace transform technique for the time variable is presented for transient heat conduction analysis in 3D axisymmetric functionally graded bodies with continuously nonhomogeneous and anisotropic material properties. The initial-boundary problem is solved in the Laplace transform domain with a subsequent numerical Laplace inversion to obtain a time-dependent solution.
Reviewer: Damian Słota (Gliwice)
MSC:
| 80A20 | Heat and mass transfer, heat flow (MSC2010) |
| 44A10 | Laplace transform |
| 80M25 | Other numerical methods (thermodynamics) (MSC2010) |
Keywords:
transient heat conduction problem; axisymmetric; anisotropic functionally graded materials; time-difference form; Laplace transform; Stehfest algorithm; meshless approximationSoftware:
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