Stress Field Near to an Elliptic Inclusion in a Piezoelectric Medium
Abstract: Piezoelectric material can be used in piezoelectric sensors and other fields. The problem of its stress field distribution in the zone of stress concentration has received widespread attention due to its brittleness. This paper pre- sents an analytical solution for an elliptical anisotropic piezoelectric inclusion embedded in an infinite anisotropic pie- zoelectric matrix subjected to arbitrary far-field uniform loadings by employing the Stroh formalism, the method of analytical continuation, the technique of conformal mapping, and the concept of superposition. Solutions of the tem- perature and stress functions either in the matrix or in the inclusion are expressed in complex matrix notation. It shows that mechanic loading and electric loading lead to the appearance of the constant stress fields in the inclusion and heat flux only leads to that of the linear stress fields. Comparison with some related works shows that the present solutions are valid and general.
文章引用: 戴隆超 , 龚俊杰 , 顾 乡 , 李新松 (2013) 压电材料中椭圆形夹杂附近的应力场。 机械工程与技术， 2， 123-128. doi: 10.12677/MET.2013.24024
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