Geodesic
The Reissnerian algorithms in the refined theories of the bending of plates
Applications of Mathematics, Tome 13 (1968) no. 6, pp. 441-455
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Starting from the refined theories of the bending of plates proposed by I. Babuška and M. Práger and using the variational principle a differential equation of infinite order is derived for the special case of one unknown function $w_0(x,y)$. By the introduction of polymoments and poly-shear forces it is shown that the obtained boundary conditions represent a generalization of Kirchhoff's boundary conditions and, therefore, the solution corresponds to the fundamental stress state only.
Starting from the refined theories of the bending of plates proposed by I. Babuška and M. Práger and using the variational principle a differential equation of infinite order is derived for the special case of one unknown function $w_0(x,y)$. By the introduction of polymoments and poly-shear forces it is shown that the obtained boundary conditions represent a generalization of Kirchhoff's boundary conditions and, therefore, the solution corresponds to the fundamental stress state only.
DOI : 10.21136/AM.1968.103194
Classification : 74K20 
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Hanuška, Alexander. The Reissnerian algorithms in the refined theories of the bending of plates. Applications of Mathematics, Tome 13 (1968) no. 6, pp. 441-455. doi: 10.21136/AM.1968.103194

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