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A comparison of the plate theories in the sense of Kirchhoff–Love and Reissner–Mindlin

✍ Scribed by Stefan Ebenfeld


Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
219 KB
Volume
22
Category
Article
ISSN
0170-4214

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✦ Synopsis


In this article we compare the two plate theories in the sense of Kirchho!}Love and Reissner}Mindlin for several di!erent settings of the physical system. We establish existence, uniqueness and regularity of solutions to the respective boundary and initial boundary value problems. Moreover, we give asymptotic expansions of the solutions in the limit of a vanishing plate thickness, P0, whenever this is possible. Finally, we compare the solutions in the sense of Kirchho!}Love and Reissner}Mindlin in that very limit.


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