Green's Function Method for an Axisymmetric Void Between Parallel Walls

Authors

  • Gautam Sudhir Chandekar Tennessee Technological University
  • Joseph D. Richardson Tennessee Technological University
  • Yuri A. Melnikov Middle Tennessee State University
  • Sally J. Pardue Tennessee Technological University

DOI:

https://doi.org/10.14713/ejbe.v5i2.790

Keywords:

Boundary Element Method, Void, Green's Function, Axisymmetric

Abstract

The Green's function for potential theory is developed for an axisymmetric void of arbitrary shape located between two parallel walls. Numerical results are given to demonstrate the accuracy in the Green's function formulation by comparison with numerical solutions obtained using a commercial finite element code. The present formulation is attractive since numerical implementation only involves unknowns on the surface of the void.

Author Biographies

Gautam Sudhir Chandekar, Tennessee Technological University

Ph.D. candidate; Dept. of Mech. Engr.

Joseph D. Richardson, Tennessee Technological University

Associate Professor; Dept. of Mech. Engr

Yuri A. Melnikov, Middle Tennessee State University

Professor; Dept. of Mathematical Sciences

Sally J. Pardue, Tennessee Technological University

Associate Professor; Dept. of Mech. Engr.

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Published

2007-11-28

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Section

Papers