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Dynamic Anti-plane Behavior Of Two Dissimilar Piezoelectric Media With An Interface Crack

Posted on:2009-05-27Degree:MasterType:Thesis
Country:ChinaCandidate:D LiFull Text:PDF
GTID:2120360272980156Subject:Structural engineering
Abstract/Summary:PDF Full Text Request
As a result of the behaviors of electromechanical coupling, especially in the dynamic problems, fracture or failure often occurs prematurely in newly developed piezoelectric materials. More attention is paid to the investigation of the failure behaviors on piezoelectric materials.This paper provides a comprehensive treatment of the dynamic character caused by an interface crack in piezoelectric bi-materials under steady-state inplane electrical and antiplane mechanical loads based on Green's function method. The first important step is to develop a couple of suitable Green's functions, which are fundamental solutions of elastic displacement field and electric potential field for a semi-infinite piezoelectric medium impacted by a pair of time-harmonic line force and line charge at the surface, respectively. Once the special Green's functions are obtained, various dynamic response problems of SH-waves by a kind of interface blemish or complex flaw can be solved. The model of the problem is composed of two semi-infinite piezoelectric media. Then additional anti-plane forces are applied at the interface in order to satisfy boundary continuity conditions. While the crack can be made in this method, which meets traction free condition at the crack's surface. A series of Fredholm integral equations of first kind for determining the unknown forces can be established by solving boundary value problem. The added force at the interface crack tip can be replaced by expression including dynamic stress intensity factor. The integral equations for determining the unknown forces can be transformed into algebraic equations. Some cases are calculated and the results are graphically presented. The calculation results show the influence of wave number, applied inplane electrical loads and combination of different materials and geometric parameters upon dynamic stress intensity factors. Some of them are compared with other published documents.
Keywords/Search Tags:two dissimilar piezoelectric materials, dynamic stress intensity factor (DSIF), Green's function, dynamic antiplane problem, interface crack
PDF Full Text Request
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