Asymptotic Analysis of Elliptic Membrane Shells in Thermoelastodynamics
Source abstract
Abstract
Dans cet article, nous considérons une famille de problèmes tridimensionnels de thermoélasticité pour les membranes elliptiques et étudions le comportement asymptotique de la solution lorsque l'épaisseur tend vers zéro. Nous caractérisons pleinement avec des résultats de convergence forte la limite comme la solution unique d'un problème bidimensionnel, où le domaine de référence est la surface médiane commune de la famille des coques tridimensionnelles. Les problèmes sont dynamiques et la loi thermoélastique constitutive est donnée par la relation de Duhamel-Neumann.
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Research context
OpenAlex topics: Contact Mechanics and Variational Inequalities · Advanced Mathematical Modeling in Engineering · Composite Material Mechanics
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References (24)
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