Uniform Stresses Inside an Elliptical Inhomogeneity With an Imperfect Interface in Plane Elasticity
Uniform Stresses Inside an Elliptical Inhomogeneity With an Imperfect Interface in Plane Elasticity
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DOI：
10.1115/1.2913045
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发表时间：
2008-09
期刊：
影响因子：
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通讯作者：
X. Wang;E. Pan;L. Sudak
中科院分区：
文献类型：
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作者：
X. Wang;E. Pan;L. Sudak
我们考虑嵌入在无限各向同性弹性矩阵中的椭圆不均匀性，该矩阵在远程均匀载荷的假设下受到面内变形。假设非均匀矩阵界面是不完美的，这是通过厚度消失的弹簧层模型来模拟的。其行为基于这样的假设：牵引力是连续的，但位移在界面上是不连续的。我们进一步假设在法向和切向方向上都实现了相同程度的界面缺陷。我们发现了一种界面函数的形式，它导致椭圆不均匀性内的均匀应力场。推导了椭圆不均匀性内均匀应力场的显式表达式。通过与现有解决方案的比较验证了所得结果。还给出了内应力场既均匀又静水的条件。 DOI：10.1115/1.2913045
We consider an elliptical inhomogeneity embedded in an infinite isotropic elastic matrix subjected to in-plane deformations under the assumption of remote uniform loading. The inhomogeneitymatrix interface is assumed to be imperfect, which is simulated by the spring-layer model with vanishing thickness. Its behavior is based on the assumption that tractions are continuous but displacements are discontinuous across the interface. We further assume that the same degree of imperfection on the interface is realized in both the normal and tangential directions. We find a form of interface function, which leads to uniform stress field within the elliptical inhomogeneity. The explicit expressions for the uniform stress field within the elliptical inhomogeneity are derived. The obtained results are verified by comparison with existing solutions. The condition under which the internal stress field is not only uniform but also hydrostatic is also presented. DOI: 10.1115/1.2913045