A computational framework is developed to model and optimize the nonlinear multiscale response of three‐dimensional particulate composites using an interface‐enriched generalized finite element method. The material nonlinearities are associated with interfacial debonding of inclusions from a surrounding matrix which is modeled using C⁻¹ continuous enrichment functions and a cohesive failure model. Analytic material and shape sensitivities of the homogenized constitutive response are derived and used to drive a nonlinear inverse homogenization problem using gradient‐based optimization methods. Spherical and ellipsoidal particulate microstructures are designed to match a component of the homogenized stress‐strain response to a desired constructed macroscopic stress‐strain behavior.

中文翻译：

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利用界面富集的广义有限元方法进行三维非线性复合材料的多尺度设计

建立了一个计算框架，以使用界面富集的广义有限元方法对三维颗粒复合材料的非线性多尺度响应进行建模和优化。材料的非线性与周围基质中夹杂物的界面脱粘有关，这是使用C ^-1连续富集函数和内聚破坏模型建模的。得出了均质本构响应的分析材料和形状敏感性，并使用基于梯度的优化方法将其用于驱动非线性逆均质化问题。球形和椭圆形的微粒微观结构旨在使均质应力应变响应的组成部分与所需的构造宏观应力应变行为相匹配。