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Piezothermoelastic analysis of a piezoelectric material with an elliptic cavity under uniform heat flow
Authors:P Lu  M J Tan  K M Liew
Institution:(1) Department of Modern Mechanics University of Science and Technology of China Hefei, Anhui, P. R. China, CN;(2) School of Mechanical and Production Engineering Nanyang Technological University Nanyang Avenue, Singapore 639798, SG
Abstract:Summary The problem of a two-dimensional piezoelectric material with an elliptic cavity under a uniform heat flow is discussed, based on the modified Stroh formalism for the piezothermoelastic problem. The exact electric boundary conditions at the rim of the hole are introduced in the analysis. Expressions for the elastic and electric variables induced within and outside the cavity are derived in closed form. Hoop stress around the hole and electric fields in the hole are obtained. The limit situation when the hole is reduced to a slit crack is discussed, and the intensity factors for the problem are obtained. Received 14 April 1998; accepted for publication 25 June 1998
Keywords:Piezoelectric material  inclusion  thermal stress concentration  Stroh formalism
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