Geodesic
Rectangular thin elastic plate with edges “remaining straight‟ during the deformation
Applications of Mathematics, Tome 20 (1975) no. 5, pp. 378-386

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The paper deals with the V. Kármán equations of a thin elastic plate. The edges of the rectangular plate are simply supported or clamped and the membrane effects due to the deflection of the plate do not alter its curvature. It is shown that the boundary condition can be given completely in terms of the deflection function and the stress function. After defining the variational solution of the problem two special cases, namely the buckling problem and the bending problem are treated. A bifurcation theorem is proved in the first case and an existence theorem in the other.
The paper deals with the V. Kármán equations of a thin elastic plate. The edges of the rectangular plate are simply supported or clamped and the membrane effects due to the deflection of the plate do not alter its curvature. It is shown that the boundary condition can be given completely in terms of the deflection function and the stress function. After defining the variational solution of the problem two special cases, namely the buckling problem and the bending problem are treated. A bifurcation theorem is proved in the first case and an existence theorem in the other.
DOI : 10.21136/AM.1975.103603
Classification : 74G60, 74K20 
Sadovský, Zoltán. Rectangular thin elastic plate with edges “remaining straight‟ during the deformation. Applications of Mathematics, Tome 20 (1975) no. 5, pp. 378-386. doi: 10.21136/AM.1975.103603
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