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The direct boundary element method in plate bending
Author(s) -
Hartmann F.,
Zotemantel R.
Publication year - 1986
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620231106
Subject(s) - boundary element method , mathematics , deflection (physics) , mathematical analysis , cauchy distribution , bending of plates , gravitational singularity , boundary value problem , interpolation (computer graphics) , singularity , finite element method , bending , structural engineering , engineering , physics , classical mechanics , mechanical engineering , frame (networking)
The direct boundary element method based on the Rayleigh‐Green identity is employed for the static analysis of Kirchhoff plates. The starting point is a slightly modified version of Stern's equations. The focus is on the implementation of the method for linear elements and a Hermitian interpolation for the deflection w . The concept of element matrices is developed and the Cauchy principal values of the singular integrals are given in detail. The treatment of domain integrals, the handling of internal supports, the properties of the solution and the effect of singularities are discused. Numerical examples illustrate the various techniques. In the appendix the influence functions for the second and third derivatives of the deflection w are given.