Effective properties and micro-mechanical response of filamentary composite wires under longitudinal shear
Effective properties and micro-mechanical response of filamentary composite wires under longitudinal shear
复制标题
纵向剪切下长丝复合线材的有效性能和微机械响应
DOI：
10.1016/j.euromechsol.2005.01.006
复制
发表时间：
2005
影响因子：
4.1
通讯作者：
P. Pareige
中科院分区：
文献类型：
--
作者：
I. Andrianov;V. Danishevskyy;A. Guillet;P. Pareige
提出了一种评估冷拔复合丝材在纵向剪切(扭转)作用下的有效性能和细观力学响应的渐近方法。我们的程序是基于均匀化方法；使用边界形状摄动技术的基本原理来解决单元问题。作为结果，我们得到了有效剪切模数和应力场局部分布的近似解析解。所开发的方法对所有组件的体积分数和性质的值都是有效的，特别是在微观水平上发生快速应力振荡的情况下(例如，在完全刚性的接近接触的夹杂物的情况下)。对局部应力的分析允许预测与复合介质塑化开始相对应的有效初始屈服极限。所得结果与其他作者的数据吻合较好。
We propose an asymptotic approach for evaluating effective properties and determining the micro-mechanical response of filamentary composite wires fabricated by cold drawing under longitudinal shear (torsion). Our procedure is based on the homogenization method; a cell problem is solved using the underlying principles of the boundary shape perturbation technique. As the results we derive approximate analytical solutions for the effective shear modulus and for local distributions of the stress field. Developed approach is valid for all values of the components' volume fractions and properties, in particular, it works well in cases when rapid oscillations of stresses occur on micro level (e.g., in the case of perfectly rigid nearly touching inclusions). Analysis of the local stresses allows to predict the effective initial yield limit corresponding to the beginning of plastification of the composite medium. Obtained results are in good agreement with data of other authors.