Abstract In this paper, we propose a multiscale damage plasticity model for particulate composites within an incremental Mori-Tanaka (MT) micromechanics framework and present numerical and experimental verification. J 2 plasticity and Lemaitre-Chaboche ductile damage models account for damage in the matrix and a linear spring model accounts for interface damage between the matrix and inclusions. Local and global strain concentration tensors are iteratively updated by minimizing errors caused by the constantly changing algorithmic tangent operator of the ductile damage matrix. Finite element (FE)-based direct numerical simulation (DNS) models are used as baseline models for verification. Properties of the ductile damage matrix and interface damage variables are inversely identified from experimental data. FE-MT multiscale damage plasticity model with the identified properties are experimentally verified with uniaxial tensile test results of glass bead/epoxy composites. Ductile damage evolution and patterns from the proposed model are verified with digital image correlation (DIC) test results. Increasing porosity within the matrix and interface damage from micro-computed tomography (CT) and microscope, respectively, prove the importance of damage modeling in the prediction of structural response by the model.

中文翻译：

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颗粒复合材料的多尺度损伤塑性建模和逆表征

摘要 在本文中，我们在增量 Mori-Tanaka (MT) 微力学框架内提出了颗粒复合材料的多尺度损伤塑性模型，并进行了数值和实验验证。J 2 塑性和 Lemaitre-Chaboche 延性损伤模型考虑了基体中的损伤，线性弹簧模型考虑了基体和夹杂物之间的界面损伤。局部和全局应变集中张量通过最小化由延性损伤矩阵的不断变化的算法切线算子引起的误差来迭代更新。基于有限元 (FE) 的直接数值模拟 (DNS) 模型用作验证的基线模型。延性损伤矩阵的性质和界面损伤变量是从实验数据中反向确定的。通过玻璃珠/环氧树脂复合材料的单轴拉伸试验结果，对具有确定特性的 FE-MT 多尺度损伤塑性模型进行了实验验证。所提出模型的延性损伤演变和模式通过数字图像相关 (DIC) 测试结果进行验证。显微计算机断层扫描 (CT) 和显微镜引起的基质内孔隙率和界面损伤的增加，分别证明了损伤建模在模型预测结构响应中的重要性。