CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2016, Vol. 33 ›› Issue (1): 57-65.

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Electromechanical Fields at Three-Dimensional Interface Edge Between Two Bounded Piezoelectric Materials

WANG Jingping1, GE Renyu1, HAN Youmin1, ZHANG Jinlun1, CHENG Changzheng2   

  1. 1. Anhui Engineering Technology Research Center of Automobile New Technology, Anhui Polytechnic University, Wuhu 241000, China;
    2. School of Civil Engineering, Hefei University of Technology, Hefei 230009, China
  • Received:2014-12-16 Revised:2015-04-10 Online:2016-01-25 Published:2016-01-25

Abstract: With asymptotic assumption for physical field near notch tip, characteristic differential equations for electroelastic singularities of wedges that contain bounded piezo/piezo materials are built from three-dimensional equilibrium equations and Maxell equations. Mechanical and electric boundary conditions are expressed by combination of singularity orders and characteristic angle functions. Thus, evaluation of singularity orders is transformed into solving ordinary differential equations (ODEs) under designated boundary conditions. Interpolating matrix method is introduced to solve derivative ODEs. More electroelastic singularity orders and associated eigenfunctions in wedges that comprise two bounded transverse isotropic piezoelectrics materials are obtained. It shows that the method is efficient and has high accuracy compared with existent solutions.

Key words: singularity, piezoelectric material, asymptotic expansion, characteristic angle functions, interpolating matrix method

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