复合材料中有效弹性模量的测定

Y. Nigirich, I. Olegin
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引用次数: 0

摘要

给出了确定复合材料中有效弹性模量的数值解析方法。材料的原型是无限弹性介质,具有相似的不相交夹杂,位于与晶格正交的二维或三维节点上。第一阶段采用有限元方法,考虑应变条件的周期性,结合这种特殊的应变,定义了夹杂体典型单元边界上的应变和位移;在第二阶段,利用能量法和Eshelby J. D的原理直接计算有效模量,通过计算夹杂物表面上的积分来定义典型单元的能量弹性变形。所提出的方法在各向同性和各向异性环境(横向各向同性和正交各向异性)下对有字问题的判定具有同等程度的效率。在平面事件中,对圆形和椭圆形夹杂接受判定,而在三维事件中,对球形和椭球形夹杂接受判定。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The Determination of the Efficient Elastic Modules in Composition Material
The numerical-analytical method of the determination of the efficient elastic modules in composition material is offered. The material is prototyped by endless elastic medium with alike disjoint inclusions, located in nodes two-dimensional or three-dimensional orthogonal of the lattice. On the first stage by method finite element (FEM), considering periodic nature of the strain condition and connected with this particularities strained, are defined strain and displacement on border of the inclusion typical element. On second stage these given are used directly for calculation of the efficient modules by means of the energy method and principle Eshelby J. D., allowing define the energy elastic deformation in typical element by calculations integral on surfaces of the inclusion. The proposed method in equal degree efficient at decisions of the worded problems, both for isotropic, and for anisotropic ambiences (transversal- isotropic and orthotropic). The decisions are received for circular and elliptical inclusions in flat event, but in three-dimensional event for spherical and ellipsoidal of the inclusions.
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