Abstract
Due to the mathematical complexities encountered in analytical treatment of the coupled thermoelasticity problems, the finite element method is often preferred. The finite element method itself is based on two entirely different approaches, the variational approach based on the Ritz method, and the weighted residual methods. The variational approach, which for elastic continuum is based on the extremum of the total potential and kinetic energies has deficiencies in handling the coupled thermoelasticity problems due to the controversial functional relation of the first law of thermodynamics. On the other hand, the weighted residual method based on the Galerkin technique, which is directly applied to the governing equations, is quite efficient and has a very high rate of convergence.
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© 2013 Springer Science+Business Media Dordrecht
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Eslami, M.R., Hetnarski, R.B., Ignaczak, J., Noda, N., Sumi, N., Tanigawa, Y. (2013). Finite Element of Coupled Thermoelasticity. In: Theory of Elasticity and Thermal Stresses. Solid Mechanics and Its Applications, vol 197. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6356-2_28
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DOI: https://doi.org/10.1007/978-94-007-6356-2_28
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-6355-5
Online ISBN: 978-94-007-6356-2
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