Strength homogenization of matrix-inclusion composites using the linear comparison composite approach
Strength homogenization of matrix-inclusion composites using the linear comparison composite approach
复制标题
DOI：
10.1016/j.ijsolstr.2013.10.002
复制
发表时间：
2014
影响因子：
3.6
通讯作者：
Meng-meng Zhou;G. Meschke
中科院分区：
文献类型：
--
作者：
Meng-meng Zhou;G. Meschke
本文提出了一种估算具有不同强度特征的复合材料宏观强度的均匀化方法。强度提升是在屈服设计理论和Ponte Castaneda(2002)提出的线性比较复合材料(LCC)方法的框架下提出的，并由Ortega等人推广到摩擦模型。(2011)，根据最优选择的具有相似基础微结构的线性热弹性比较复合材料来估计复合材料的宏观强度。在本文中，考虑了复合材料各个相的基本材料行为的各种组合：基质相可以是由Drucker-Prager类型(双曲线)或椭圆强度准则表征的准摩擦材料，该准则预测了静水压缩的强度极限；而夹杂相可以表示空孔、充满孔洞流体的孔洞、刚性夹杂或固体夹杂，其强度特征也可以由Drucker-Prager类型或椭圆强度准则来描述。为了在这种一般情况下有效地生成均匀强度准则，本文提出了一种新的算法。通过与实验结果和其他现有强度均匀化模型的比较，验证了所提出的强度均匀化方法对于选定的母材和夹杂物的强度特性组合的有效性。
A homogenization procedure to estimate the macroscopic strength of nonlinear matrix-inclusion composites with different strength characteristics of the matrix and inclusions, respectively, is presented in this paper. The strength up-scaling is formulated within the framework of the yield design theory and the linear comparison composite (LCC) approach, introduced by Ponte Castaneda (2002) and extended to frictional models by Ortega et al. (2011), which estimates the macroscopic strength of composite materials in terms of an optimally chosen linear thermo–elastic comparison composite with a similar underlying microstructure. In the paper various combinations for the underlying material behavior for the individual phases of the composite are considered: The matrix phase can be a quasi frictional material characterized either by a Drucker–Prager-type (hyperbolic) or an elliptical strength criterion, which predicts a strength limit also in hydrostatic compression, while the inclusion phase either may represent empty pores, pore voids filled with a pore fluid, rigid inclusions, or solid inclusions, whose strength characteristics also maybe described by a Drucker–Prager-type or an elliptical strength criterion. For generating the homogenized strength criterion efficiently in such general cases of matrix-inclusion composites, a novel algorithm is proposed in the paper. The validation of the proposed strength homogenization procedure for selected combinations of strength characteristics of the matrix material and the inclusions is conducted by comparisons with experimental results and alternative existing strength homogenization models.