Wang Yanchao, Huang ZhengMing
School of Aerospace Engineering and Applied Mechanics, Tongji University, 1239 Siping Road, Shanghai 200092, China.
Materials (Basel). 2018 Oct 9;11(10):1919. doi: 10.3390/ma11101919.
Elasto-plastic models for composites can be classified into three categories in terms of a length scale, i.e., macro scale, meso scale, and micro scale (micromechanics) models. In general, a so-called multi-scale model is a combination of those at various length scales with a micromechanics one as the foundation. In this paper, a critical review is made for the elastoplastic models at the micro scale, and a comparative study is carried out on most popular analytical micromechanics models for the elastoplastic behavior of long fibrous composites subjected to a static load, meaning that creep and dynamic response are not concerned. Each model has been developed essentially following three steps, i.e., an elastic homogenization, a rule to define the yielding of a constituent phase, and a linearization for the elastoplastic response. The comparison is made for all of the three aspects. Effects of other issues, such as the stress field fluctuation induced by a high contrast heterogeneity, the stress concentration factors in the matrix, and the different approaches to a plastic Eshelby tensor, are addressed as well. Correlation of the predictions by different models with available experimental data is shown.
复合材料的弹塑性模型根据长度尺度可分为三类，即宏观尺度、细观尺度和微观尺度（微观力学）模型。一般来说，所谓的多尺度模型是以微观力学模型为基础，将不同长度尺度的模型组合而成。本文对微观尺度的弹塑性模型进行了批判性综述，并对长纤维复合材料在静载作用下弹塑性行为的最流行解析微观力学模型进行了比较研究，即不考虑蠕变和动态响应。每个模型的开发基本上都遵循三个步骤，即弹性均匀化、定义组分相屈服的规则以及弹塑性响应的线性化。对这三个方面都进行了比较。还讨论了其他问题的影响，如高对比度非均匀性引起的应力场波动、基体中的应力集中因子以及塑性埃舍尔比张量的不同处理方法。展示了不同模型的预测结果与现有实验数据的相关性。
