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Published in:
2014 | OriginalPaper | Chapter
6. Conduction Heat Transfer in Solids
Author : M. Reza Eslami
Published in: Finite Elements Methods in Mechanics
Publisher: Springer International Publishing
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Abstract
Heat conduction problem in solid continuum is one of the major fields in mechanics. This chapter presents detail derivations of the finite element matrices of one, two, and three-dimensional conduction problems. Both variational and Galerkin methods are employed to derive the finite element formulations. Derivation of the capacitance matrix for the transient heat conduction problems is carried out for the one, two, and three-dimensional cases.