An asymptotic strain gradient Reissner-Mindlin plate model

In this paper we derive a strain gradient plate model from the three-dimensional equations of strain gradient linearized elasticity. The deduction is based on the asymptotic analysis with respect of a small real parameter being the thickness of the elastic body we consider. The body is constituted by a second gradient isotropic linearly elastic material. The obtained model is recognized as a strain gradient Reissner-Mindlin plate model. We also provide a mathematical justification of the obtained plate model by means of a variational weak convergence result.

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Source ISSN: 0025-6455
Author Serpilli, Michèle, Krasucki, Françoise, Geymonat, Giuseppe
Maintainer CCSD
Last Updated June 4, 2026, 01:26 (UTC)
Created June 4, 2026, 01:26 (UTC)
Identifier hal-00757357
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Department of Civil and Building Engineering, and Architecture [Ancona] ; Polytechnic University of Marche / Università Politecnica delle Marche (UNIVPM)
creator Serpilli, Michèle
date 2013-06-04T00:00:00
harvest_object_id 1787645f-be19-49de-9b1e-ea297d50871b
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-11-25T00:00:00
relation info:eu-repo/semantics/altIdentifier/doi/10.1007/s11012-013-9719-6
set_spec type:ART