Effective Behavior of Nonlinear Microperiodic Composites with Imperfect Contact Via the Asymptotic Homogenization Method.

Autores

DOI:

https://doi.org/10.5540/tcam.2021.022.01.00079

Palavras-chave:

Nonlinear composites, Asymptotic homogenization method, Imperfect contact.

Resumo

The asymptotic homogenization method is applied here to one-dimensional boundary-value problems for nonlinear differential equations with rapidly oscillating piecewise-constant coefficients which model the behavior of nonlinear microperiodic composites, in order to assess the influence of interfacial imperfect contact on the effective behavior. In particular, a nonlinear power-law flux on the gradient of the unknown was considered. Several calculations were performed and are discussed at the end of this work, including a comparison of some results with variational ounds, which is also an important approach of this work.

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Publicado

2021-04-17

Como Citar

Décio Jr, R., Pérez-Fernández, L. D., & Bravo-Castillero, J. (2021). Effective Behavior of Nonlinear Microperiodic Composites with Imperfect Contact Via the Asymptotic Homogenization Method. Trends in Computational and Applied Mathematics, 22(1), 79–90. https://doi.org/10.5540/tcam.2021.022.01.00079

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