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A Conservative Integral for Calculating Intensities of Singularities at 3D Piezoelectric Bonded Joints

[+] Author Affiliations
Chonlada Luangarpa, Hideo Koguchi

Nagaoka University of Technology, Nagaoka, Japan

Paper No. IMECE2015-51404, pp. V009T12A011; 8 pages
doi:10.1115/IMECE2015-51404
From:
  • ASME 2015 International Mechanical Engineering Congress and Exposition
  • Volume 9: Mechanics of Solids, Structures and Fluids
  • Houston, Texas, USA, November 13–19, 2015
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-5752-6
  • Copyright © 2015 by ASME

abstract

In the present study, a conservative integral based on the Betti reciprocal principle is extended for calculating the intensities of singularities at a vertex of the interface in three-dimensional piezoelectric bonded joints. Eigenanalysis formulated using a three-dimensional finite element method (FEM) is used to calculate the order of stress singularity, angular variables of mechanical displacements, stresses, electric displacements and electric potential. A model with applied both mechanical and electrical loading conditions are considered. In order to investigate the influence of mesh refinement and integral area on the accuracy of the results, models with various element sizes and integral areas are used. The results are compared with those obtained from conventional FEM, in which using extremely refined meshes near the singular point.

Copyright © 2015 by ASME

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