Abstract
In this chapter, the definition and computation of effective properties in the context of linear elasticity are presented. First, the localization problem and the different types of boundary conditions are defined. Then, the definition of the effective elastic fourth-order tensor is introduced. The practical calculation of the effective elastic tensor with 2D and 3D FEM is detailed. An extension to thermoelasticity is described. Finally, reference solutions are provided for validation purpose.
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11 December 2019
The original publication can be found online at https://doi.org/10.1007/978-3-030-18383-7_4
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Yvonnet, J. (2019). Elasticity and Thermoelasticity. In: Computational Homogenization of Heterogeneous Materials with Finite Elements. Solid Mechanics and Its Applications, vol 258. Springer, Cham. https://doi.org/10.1007/978-3-030-18383-7_4
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DOI: https://doi.org/10.1007/978-3-030-18383-7_4
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Online ISBN: 978-3-030-18383-7
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