A refined bound on the error of Reissner's plate theory
Copyright policy )A refined bound on the error of Reissner's plate theory
The accuracy of two versions of Reissner's plate theory as compared with three-dimensional elasticity is evaluated. The relative mean square error is shown to consist of two parts: one related to transverse normal rigidity and proportional to the plate thickness squared and the other related to transverse shear rigidity and proportional to the thickness cubed. This refines a previous estimate by \textit{R. P. Nordgren} where both of those parts were proportional to the thickness squared [Q. Appl. Mat. 29, 551-556 (1972; Zbl 0243.73028)].
- Bialystok University of Technology Poland
- University of Białystok Poland
Error bounds for boundary value problems involving PDEs, Reissner's plate theory, three-dimensional elasticity, transverse normal rigidity, Other numerical methods in solid mechanics, Plates, relative mean square error
Error bounds for boundary value problems involving PDEs, Reissner's plate theory, three-dimensional elasticity, transverse normal rigidity, Other numerical methods in solid mechanics, Plates, relative mean square error
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