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- W2085776932 abstract "Abstract A boundary-integral equation method for bending of thin orthotropic linear elastic plates with polygonal planform under quasistatic pressure loading is presented. A change from Huber's differential equation for the deflection to the simpler biharmonic equation of Kirchoff's isotropic plate theory by means of a linear transformation of the plate domain renders a non-classical boundary value problem; the transformed plate is embedded in a basic rectangular domain; coincidence of boundaries is applied as far as possible. Using Green's matrix of the basic isotropic plate, a vectorial boundary integral equation for a fictitious density function vector is developed, which has to be defined on part of the actual boundary only. Solution generally is achieved by a numerical procedure, and Green's matrix is split into a regular and a singular part. Analytic integrals of the latter are independent of the special choice of the basic domain. Having solved the integral equation, all interesting state variables within the isotropic domain are evaluated by means of integration and may be transformed back to the original orthotropic plate in a simple manner. Method is tested in example problems." @default.
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- W2085776932 date "1984-01-01" @default.
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- W2085776932 title "A boundary-integral equation method for bending of orthotropic plates" @default.
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- W2085776932 doi "https://doi.org/10.1016/0020-7683(84)90036-2" @default.
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