Journal article
Theories for Elastic Plates via Orthogonal Polynomials
A complementary energy functional is used to derive an infinite system of two-dimensional differential equations and appropriate boundary conditions for stresses and displacements in homogeneous anisotropic elastic plates. Stress boundary conditions are imposed on the faces a priori, and this introduces a weight function in the variations of the transverse normal and shear stresses.
As a result the coupling between the two-dimensional differential equations is described in terms of a single difference operator. Special attention is given to a truncated system of equations for bending of transversely isotropic plates. This theory has three boundary conditions, like Reissner's, but includes the effect of transverse normal strain, essentially through a reinterpretation of the transverse displacement function.
Full agreement with general integrals to the homogeneous three-dimensional equations is established to within polynomial approximation.
Language: | English |
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Year: | 1981 |
Pages: | 900-904 |
ISSN: | 15289036 and 00218936 |
Types: | Journal article |
DOI: | 10.1115/1.3157753 |
ORCIDs: | Krenk, Steen |