Transient heat conduction in homogeneous and non-homogeneous materials by the Laplace transform Galerkin boundary element method

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Modelling functionally graded materials in heat transfer and thermal stress analysis by means of graded finite elements (2017, methodology): “For this purpose an analytical solution obtained in [20] for the transient thermal response of a FGM plate shown in Fig.”
Eigenfunction expansions for transient diffusion in heterogeneous media (2009, background): “The problems here considered involve the analysis of three quite different situations, first, an example of variable coefficients with large scale changes is drawn from the literature related to the heat transfer analysis of functionally graded materials (FGM) [7], another one related with an abrupt”
Local BIEM for transient heat conduction analysis in 3-D axisymmetric functionally graded solids (2003, methodology): “The transient heat transfer in FGMs with the exponential spatial variation has been examined by several authors (Jin and Batra, 1996; Noda and Jin, 1994; Jin and Paulino, 2001; Sutradhar et al., 2002 ).”