Decomposition of the Displacements of a Plate With Very High Thickness Contrast

The aim of this paper is to give a decomposition of the displacements of plates with a very high thickness contrast. Estimates of all terms of the decomposition with respect to the norm of the strain tensor are obtained. Weighted Poincaré-Wirtinger and Korn inequalities are also given.

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Publication Details

Journal
Asymptotic Analysis
Published
2025-03-20
DOI
https://doi.org/10.1177/09217134251317915
Primary Topic
Advanced Mathematical Modeling in Engineering
Type
article
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article

Decomposition of the Displacements of a Plate With Very High Thickness Contrast

Georges Griso
4 links
Asymptotic Analysis
Advanced Mathematical Modeling in Engineering
article

Decomposition of the Displacements of a Plate With Very High Thickness Contrast

Georges Griso
article en

Abstract

The aim of this paper is to give a decomposition of the displacements of plates with a very high thickness contrast. Estimates of all terms of the decomposition with respect to the norm of the strain tensor are obtained. Weighted Poincaré-Wirtinger and Korn inequalities are also given.

Asymptotic AnalysisVol. 142(4)
Sorbonne Université (FR)
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Openalex Percentile: Top 100%
Advanced Mathematical Modeling in Engineering
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Decomposition of the Displacements of a Plate With Very High Thickness Contrast — Georges Griso · Asymptotic Analysis (2025) | TGRS Research Map | TGRS