A novel upper bound finite-element for the limit analysis of plates and shells
type: Item
instance of: scholarly article
title: A novel upper bound finite-element for the limit analysis of plates and shells
zbMATH Open document ID: 1490.74101
author: Jérémy Bleyer
published in: European Journal of Mechanics. A. Solids
publication date: 2021-09-08T00:00:00Z
review text: Shear-locking is a classical issue in displacement-based finite element approaches for thick plates and shells. Previous variants of discretizations in locking-free finite element methods for thick plates were relied on mixed approaches or on approximate strain compatibility relations or on discontinuous interpolations. A finite element (FE) with a continuous quadratic displacement and a piecewise linear rotation is investigated here. It was shown that this FE can produce good limit load estimates taking into account the contribution of rotation jumps. Numerical results have a good accuracy. This FE is used also for shell problems. Illustrative applications show that the proposed FE is free from any shear locking and produces good limit load estimates for plate as well as shell problems.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74K25
zbMATH DE Number: 7392223
zbMATH Keywords: thick plate
zbMATH Keywords: thick shell
zbMATH Keywords: shear-locking free method
zbMATH Keywords: displacement-based finite element method
zbMATH Keywords: limit load estimate
zbMATH Keywords: rotation jump effect
reviewed by: V. L. Leontiev
describes a project that uses: fenics-optim
describes a project that uses: SyFi
describes a project that uses: FEniCS
MaRDI profile type: Publication
full work available at URL: j.euromechsol.2021.104378
OpenAlex ID: W3190791927
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DOI: 10.1016/J.EUROMECHSOL.2021.104378
description: scientific article; zbMATH DE number 7392223