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| 远端剪切作用下正交各向异性介质中椭圆夹杂的弹性场分析 |
| Media under Uniform Shear at Infinity |
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| DOI：10.3969/j.issn.1671-5322.2010.04.001 |
| 中文关键词: 非弹性特征应变 正交各向异性 保角变换 椭圆夹杂 |
| 英文关键词: non-elastic eigenstrains orthotropic conformal transformation elliptic inhomongeneiy |
| 基金项目:江苏省教育厅省属高校自然科学研究资助项目，盐城工学院自然科学研究资助项目 |
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| 中文摘要: |
| 求解一类正交各向异性介质中平面椭圆夹杂在远端作用与椭圆主轴呈任意角度均匀剪切力情况下,内受非弹性特征应变引起的弹性场.采用各向异性平面问题的复变函数解法,结合保角变换方法,将远端剪切作用转化为在基体内边界上的初始应变,根据最小应变能原理,获得夹杂/基体系统弹性应力和应变场的封闭形式解析解. |
| 英文摘要: |
| This paper presents an analytical solution for the elastic fields induced by non-elastic eigenstrains in a plane elliptical inhomogeneity embedded in the orthotropic matrix under shear at infinity and inclined at any angle.The conformal transformation and complex function method for anisotropic elastic material were used to transform the shear to the "initial strains" in the matrix and to generate a closed-form solution for the elastic strains/stress fields in the inhomogeneity and matrix in terms of the principle of the minimum potential energy. |
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