Variational Considerations for Elastic Beams and Shells

by E. Reissner,

Serial Information: Journal of the Engineering Mechanics Division, 1962, Vol. 88, Issue 1, Pg. 23-58

Document Type: Journal Paper


General variational theorem for stresses and displacements in small-deflection shell theory including effect of transverse shear deformation, is presented; theorem is used, in conjunction with Lagrange multiplier method, to establish appropriately contracted systems of stress boundary conditions for shells rigid in regard to transverse shear and to transverse shear and midsurface strain.

Subject Headings: Shear deformation | Boundary shear | Shear stress | Transverse shear | Elastic analysis | Beams | Displacement (mechanics) | Lagrangian functions

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