摘要
本文研究了远场作用反平面载荷时含椭圆夹杂正交各向异性体的界面应力分布规律.利用解析函数边值问题理论和共形映射技术,推导了反平面载荷下含椭圆夹杂正交异性体的精确解,获得了夹杂和基体内应力场的闭合解,并通过有限元结果验证了本文解析解的有效性.研究表明:基体材料主方向弹性模量比C_(55)/C_(44)和夹杂形状比g对界面应力影响显著;基体材料主方向模量比C_(55)/C_(44)对界面应力的影响受夹杂/基体模量比C_f/C_(44)的限制.
The problem of the orthotropic solid containing elliptic inclusion under far-field anti-plane shear is investigated. A rigorous whole-field solution is presented by using the analytic function theory for boundary value problems and the eonformal mapping technique, in which a closed-form solution is obtained for the stress fields in both the inclusion and the matrix. Finite element results are used to validate the effectiveness of the proposed analytical solution. The results reveal that the stress fields are significantly affected by the ratio of elastic moduli along main directions C55/C44 and the shape ratio of the inclusion γ. The influence of the ratio of elastic moduli along main directions on the stress fields is restricted by the ratio of inclusion/matrix elastic moduli.
出处
《力学季刊》
CSCD
北大核心
2016年第2期302-310,共9页
Chinese Quarterly of Mechanics
基金
国家自然科学基金(11302186)
河北省高等学校青年拔尖人才计划项目(BJ2014058)
河北省自然科学基金(A2013203103
A2013203213)
关键词
界面应力
正交各向异性体
椭圆夹杂
反平面剪切
interracial stress
orthotropic solid
elliptical inclusion
anti-plane shear
