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Boundary element formulation for the coupled stretching-bending analysis of thin laminated plates. (English) Zbl 1351.74110
Summary: The boundary integral equations for the coupled stretching-bending analysis of thin laminated plates involve an integral which will be singular when the field point approaches the source point. To avoid the singular problem occurring in the numerical programming, the boundary integral equations are modified in which the integrals of singular part are integrated analytically. The analytical solutions for the free term coefficients and singular integrals are obtained in explicit closed-form. By dividing the boundary into elements and using suitable interpolation polynomials for basic functions, the set of equations necessary for boundary element programming are written explicitly for regular nodes and corner nodes. The equations for the determination of displacements and stresses at internal points are also presented in this paper.

MSC:
74S15 Boundary element methods applied to problems in solid mechanics
74E30 Composite and mixture properties
65N38 Boundary element methods for boundary value problems involving PDEs
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