Existence results for the higher order linear Cosserat shell model-Reference-Cited by-同舟云学术

Existence results for the higher order linear Cosserat shell model

Published:2023-03 Issue:1 Volume:22 Page:
ISSN:1617-7061
Container-title:PAMM
language:en
Short-container-title:Proc Appl Math and Mech

Author:

Bîrsan Mircea¹²,Ghiba Ionel-Dumitrel²³,Neff Patrizio¹

Affiliation:

1. Lehrstuhl für Nichtlineare Analysis und Modellierung Fakultät für Mathematik Universität Duisburg-Essen Thea-Leymann Str. 9 45127 Essen Germany

2. Department of Mathematics Alexandru Ioan Cuza University of Iaşi Blvd. Carol I, no. 11 700506 Iaşi Romania

3. Octav Mayer Institute of Mathematics of the Romanian Academy Iaşi Branch 700505 Iaşi Romania

Abstract

AbstractWe derive the linear elastic Cosserat shell model of order O(h5) in the shell thickness h. To this aim, we linearise the geometrically nonlinear elastic Cosserat shell model established previously. Using Korn‐type inequalities for shells, the coercivity of the energy functional and the Lax‐Milgram theorem, we prove the existence and uniqueness of weak solutions to the equilibrium equations.

Publisher

Wiley

Subject

Electrical and Electronic Engineering,Atomic and Molecular Physics, and Optics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/pamm.202200030

Reference14 articles.

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