Effective behavior of nonlinear microperiodic composites with imperfect contact via the asymptotic homogenization method
ABSTRACT 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 bounds, which is also an important approach of this work.
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| Main Authors: | , , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática Aplicada e Computacional - SBMAC
2021
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| Online Access: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2676-00292021000100079 |
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