Year: 2023
Author: Philippe G. Ciarlet, Cristinel Mardare
Communications in Mathematical Analysis and Applications, Vol. 2 (2023), Iss. 2 : pp. 221–244
Abstract
To begin with, we identify the intrinsic equations of a von Kármán nonlinearly elastic plate, which allow to directly compute the stresses inside the plate without having to first compute the displacement field, by contrast with the classical displacement approach. Then we establish that these intrinsic equations possess weak solutions, which are the bending moments and stress resultants of the middle surface of the plate.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmaa.2023-0002
Communications in Mathematical Analysis and Applications, Vol. 2 (2023), Iss. 2 : pp. 221–244
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: Nonlinear elasticity nonlinearly elastic plates von Kármán equations intrinsic elasticity stress tensor field.