Reduced order homogenization models for failure of heterogeneous materials
Reduced order homogenization models for failure of heterogeneous materials
复制标题
异质材料失效的降阶均质化模型
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
Paul A. Sparks
中科院分区：
文献类型：
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作者：
Paul A. Sparks
本文提出了一种识别非均质材料非弹性和破坏响应的最佳降阶模型的新方法。该方法采用了基于特征变形的降阶均匀化方法。将最优降阶模型的辨识问题归结为一个整数优化问题，并用遗传算法对该优化问题进行评价。提出了第二个优化问题，通过对失效参数的缩放，确保与最优降阶模型相关的误差最小化。通过模型预测与完全分辨材料微观结构的计算均匀化方法的比较，验证了基于该方法的最优降阶模型的性能和能力。采用单向增强基微结构进行的数值模拟表明，降阶模型能够准确地描述复合材料在较宽加载范围内的响应特性。
This manuscript presents a new methodology for the identification of optimal reduced order models for the inelastic and failure response of heterogeneous materials. The proposed methodology employs the eigendeformation-based reduced order homogenization approach. The identification of the optimal reduced order model is posed as an integer optimization problem and the genetic algorithm method is used to evaluate the optimization problem. A second optimization problem is posed to ensure that the errors associated with the optimal reduced order model are minimized through scaling of the failure parameters. The performance and capabilities of the optimal reduced order models identified based on the proposed approach are demonstrated by comparing model predictions with the computational homogenization method with full resolution of the material microstructure. Numerical simulations conducted using unidirectional reinforced matrix microstructures reveal that the reduced order models accurately describe the response characteristics of the composite material for a wide range of loading regimes.