Abstract
The chapter begins with an explanation of the basic governing equations of linear thermoelasticity, including the equations of motion, the linear thermoelastic constitutive law, and the kinematical relations. Using the governing equations, the Navier equations of motion in terms of the displacement components are derived. The condition for the case of zero thermal stresses is then discussed. The displacement-based finite element equations in conjunction with the heat conduction equation are derived employing the Galerkin method. The final of the finite element equation of motion is reduced to the case of two-dimensional thermoelasticity problems, where the element matrices for the base element (e) are derived. The dynamic finite element equation is further reduced to the one-dimensional case, where for a one-dimensional simplex element the detail of element matrices are calculated.
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Eslami, M.R. (2014). Thermoelasticity. In: Finite Elements Methods in Mechanics. Solid Mechanics and Its Applications, vol 216. Springer, Cham. https://doi.org/10.1007/978-3-319-08037-6_12
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DOI: https://doi.org/10.1007/978-3-319-08037-6_12
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Publisher Name: Springer, Cham
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Online ISBN: 978-3-319-08037-6
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