Edge effects in the Reissner-Mindlin plate theory

D. N. Arnold, R. S. Falk

Research output: Chapter in Book/Report/Conference proceedingConference contribution

65 Scopus citations

Abstract

We study the behavior of solutions of five different boundary value problems for the Reissner-Mindlin plate model emphasizing the structure of the dependence of the solutions on the plate thickness. The boundary value problems considered are those modelling hard and soft clamped plates, hard and soft simply supported plates, and free plates. As proven elsewhere, the transverse displacement variable does not exhibit any edge effect, but the rotation vector exhibits a boundary layer for all the boundary value problems. The bending moment tensor and shear force vector have more pronounced boundary layers. The structures of each of these boundary layers are explored in detail. In particular, their strength depends on the type of boundary conditions considered.

Original languageEnglish (US)
Title of host publicationAnal Comput Model Shell Presented Winter Ann Meet ASME
PublisherPubl by ASME
Pages71-89
Number of pages19
ISBN (Print)0791803732
StatePublished - Dec 1 1989
EventAnalytical and Computational Models of Shells - Presented at the Winter Annual Meeting of the ASME - San Francisco, CA, USA
Duration: Dec 10 1989Dec 15 1989

Publication series

NameAnal Comput Model Shell Presented Winter Ann Meet ASME

Other

OtherAnalytical and Computational Models of Shells - Presented at the Winter Annual Meeting of the ASME
CitySan Francisco, CA, USA
Period12/10/8912/15/89

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    Arnold, D. N., & Falk, R. S. (1989). Edge effects in the Reissner-Mindlin plate theory. In Anal Comput Model Shell Presented Winter Ann Meet ASME (pp. 71-89). (Anal Comput Model Shell Presented Winter Ann Meet ASME). Publ by ASME.