基于渐近均匀化方法的非完全接触非线性微周期复合材料的有效行为。

R. Décio Jr, L. D. Pérez-Fernández, J. Bravo-Castillero
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引用次数: 1

摘要

本文将渐近均匀化方法应用于模拟非线性微周期复合材料行为的快速振荡分段常系数非线性微分方程的一维边值问题,以评估界面不完全接触对有效行为的影响。特别考虑了未知梯度上的非线性幂律通量。在本工作的最后进行了一些计算和讨论,包括一些结果与变分声音的比较,这也是本工作的一个重要方法。
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Effective Behavior of Nonlinear Microperiodic Composites with Imperfect Contact Via the Asymptotic Homogenization Method.
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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来源期刊
CiteScore
0.70
自引率
35.30%
发文量
0
审稿时长
4 weeks
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