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Axisymmetric buckling of transversely isotropic circular and annular plates. (English) Zbl 1097.74025
Summary: This paper presents a general solution of three-dimensional equations for axisymmetric buckling problem for transversely isotropic media. The solution is expressed through a displacement function that satisfies a homogeneous fourth-order partial differential equation. Using this general solution, the axisymmetric buckling of circular and annular plates is investigated and exact solutions are obtained for appropriate boundary conditions. Numerical results are considered for clamped and simply supported circular and annular plates in comparison with existing results.

MSC:
74G60 Bifurcation and buckling
74K20 Plates
74G05 Explicit solutions of equilibrium problems in solid mechanics
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