A symmetric Galerkin BEM for plate bending analysis

The Symmetric Galerkin Boundary Element Method is employed in thin plate bending analysis in accordance with the Love–Kirchhoff kinematical assumption. The equations are obtained through the stationary conditions of the total potential energy, written for a plate whose boundary is discretized in bou...

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Bibliographic Details
Published in:European journal of mechanics, A, Solids A, Solids, 2009-01, Vol.28 (1), p.62-74
Main Authors: Panzeca, T., Milana, V., Salerno, M.
Format: Article
Language:English
Subjects:
Bending
Boundaries
Boundary element method
Discontinuity
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Galerkin methods
Hypersingular integrals
Mathematical analysis
Mathematical models
Physics
Plate bending
Rigid-body dynamics
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Symmetric boundary element method
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Summary:The Symmetric Galerkin Boundary Element Method is employed in thin plate bending analysis in accordance with the Love–Kirchhoff kinematical assumption. The equations are obtained through the stationary conditions of the total potential energy, written for a plate whose boundary is discretized in boundary elements. Since the matrix coefficients are made up as double integrals with high order singularities, a strategy is shown to compute these coefficients in closed form. Furthermore, in order to model the kinematical discontinuities and to weight the mechanical quantities along the boundary elements, the Lagrangian quadratic shape functions, rather than C 1 type (spline, Hermitian), are employed. The effectiveness of the matrix coefficients is shown through the rigid body movement technique.
ISSN:0997-7538
1873-7285
DOI:10.1016/j.euromechsol.2008.02.004