The design equations of a neutral coated inhomogeneity with confocal elliptic interfaces are derived, when the elastic matrix is subjected to a longitudinal shear. The neutrality of such an inhomogeneity is achieved by inserting an appropriate coating between inhomogeneity and matrix provided that the longitudinal shear applied to the matrix is parallel to one of the elliptical semi-axes. The above general results are verified numerically by designing specific neutral inhomogeneities using finite elements.

中文翻译：

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纵剪共焦椭圆界面中性涂层不均匀性设计方程

当弹性基体受到纵向剪切时，推导出具有共焦椭圆界面的中性涂层不均匀性的设计方程。这种不均匀性的中性是通过在不均匀性和基质之间插入适当的涂层来实现的，前提是施加到基质上的纵向剪切力平行于椭圆半轴之一。通过使用有限元设计特定的中性不均匀性，上述一般结果在数值上得到验证。