A generalized self‐consistent mori‐tanaka scheme for prediction of the effective elastic moduli of hybrid multiphase particulate composites
A generalized self‐consistent mori‐tanaka scheme for prediction of the effective elastic moduli of hybrid multiphase particulate composites
复制标题
用于预测混合多相颗粒复合材料有效弹性模量的广义自洽森田中方案
DOI：
10.1002/pc.10125
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发表时间：
1998
影响因子：
5.2
通讯作者：
R. Wang
中科院分区：
文献类型：
--
作者：
L. Dai;Zhuping Huang;R. Wang
本文发展了一种广义自洽Mori-Tanaka方法（GSCMTM）。该方法从Dederichs和Zeller提出的非均质弹性问题的公式化出发，将Christensen的广义自洽方法（GSCM）和Hill的界面算子理论的应变等效条件引入到组分应变集中张量的计算中。对于含有球形夹杂物的两相复合材料，GSCMTM预测的有效模量与Mori-Tanaka方法（MTM）预测的有效模量一致。通过两步均匀化技术，GSCMTM成功地扩展到多相复合材料。GSCMTM预测的多相混杂颗粒复合材料的有效模量与现有的理论和实验结果吻合良好，可以以一个简单的显式形式表示。
A generalized self-consistent Mori-Tanaka method (GSCMTM) is developed in this paper. The method starts with the formulation of the problem of heterogeneous elasticity proposed by Dederichs and Zeller and incorporates the strain equivalence condition of Christensen's generalized self-consistent method (GSCM) and Hill's interfacial operator theory into the evaluation of the strain concentration tensors of constituents. For a two-phase composite with spherical inclusions, the effective moduli predicted by GSCMTM coincide with those predicted by the Mori-Tanaka method (MTM). By a two-step homogenization technique, GSCMTM was successfully extended to multiphase composites. The effective moduli predicted by GSCMTM for multiphase hybrid particulate composites agree well with the existing theoretical and experimental results and can be expressed in a simple explicit form.