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Article
Fundamental solutions of uniform loads over triangular elements in a three-dimensional piezoelectric medium
Applied Mathematical Modelling
  • Ernian Pan, University of Akron Main Campus
  • Qiao Yun Zhang
  • Cui Ying Fan
  • MingHao Zhao
Document Type
Article
Publication Date
10-1-2014
Disciplines
Abstract
In this paper, fundamental solutions of uniform loads over triangular elements in an infinite transversely isotropic piezoelectric three-dimensional space are derived. The triangle element can be parallel or vertical to the plane of isotropy and the uniform load can be mechanical and electric types, oriented in an arbitrary orientation. The solutions are expressed simply as a linear combination of three kinds of elementary functions – linear, trigonometric and logarithm functions. Three methods of superposition are employed to verify the obtained fundamental solutions. Numerical examples are also presented for the extended displacements and stresses induced by both mechanical and electric loads on the vertical and horizontal triangles.
Citation Information
Ernian Pan, Qiao Yun Zhang, Cui Ying Fan and MingHao Zhao. "Fundamental solutions of uniform loads over triangular elements in a three-dimensional piezoelectric medium" Applied Mathematical Modelling Vol. 38 Iss. 19-20 (2014) p. 4778 - 4795
Available at: http://works.bepress.com/ernian_pan/7/