A Tangential Differential Operator Applied To
Stress And Traction Boundary Integral Equations
For Plate Bending Including The Shear
Deformation Effect
Author(s)
L. Palermo Jr.
Abstract
Stress boundary integral equations (BIEs) are required in elastic or inelastic
analyses of plate bending problems to obtain distributed shear, bending and
twisting moments. Traction BIE, which is important to perform fracture
analyses, is directly related to stress BIE. The collocation point position and the
strategy to treat improper integrals are essential features studied in BIE for
tractions or stresses at boundary points. The tangential differential operator
(TDO) is used in stress and traction BIEs to reduce the strong singularities in the
fundamental solution kernels and remaining singularities can be treated with the
Cauchy principal value sense or the first order regularization. This study presents
the application of the TDO for stress and traction BIEs used in plate bending
models considering the shear deformation effect. The results in bending
problems are obtained with traction BIE using TDO, instead of displacement
BIE, and are compared to those in the literature where the problem was solved
with traction BIE containing the strong singularity or with displacement BIE.
1 Introduction
Distributed shear, bending and twisting moments required in plate bending
analyses are computed with stress BIEs. The differentiation in the fundamental
solution kernels of displacement BIE, to obtain BIEs for stresses, increases the
order of singularities. Strong singularities appear in fundamental solution kernels
of stress BIE when values at boundary points are required as well as in those of
Keywords
Related Book
Other papers in this volume
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