The elastic torus: Anomalous stiffness of shells with mixed type

Basile Audoly; Yves Pomeau

doi:10.1016/S1631-0721(02)01479-1

The elastic torus: Anomalous stiffness of shells with mixed type

Basile Audoly
, Yves Pomeau

PSL research University & IPSL

Research output: Contribution to journal › Article › peer-review

Abstract

We investigate the deformation of a thin elastic torus under axisymmetric surface loads. The strain concentrates near the top and bottom parallels and the inner and outer halves essentially undergo rigid-body translations in opposite directions. An analysis of the inner boundary layers is presented, which allows one to compute the effective stiffness of the torus for this loading. This stiffness is found anomalous compared to classical shells. These mechanical properties are interpreted using purely geometrical arguments.

Original language	English
Pages (from-to)	425-432
Number of pages	8
Journal	Comptes Rendus - Mecanique
Volume	330
Issue number	6
DOIs	https://doi.org/10.1016/S1631-0721(02)01479-1
Publication status	Published - 1 Jan 2002

Keywords

Boundary layers
Elastic shells
Solids and structures

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10.1016/S1631-0721(02)01479-1

Cite this

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title = "The elastic torus: Anomalous stiffness of shells with mixed type",

abstract = "We investigate the deformation of a thin elastic torus under axisymmetric surface loads. The strain concentrates near the top and bottom parallels and the inner and outer halves essentially undergo rigid-body translations in opposite directions. An analysis of the inner boundary layers is presented, which allows one to compute the effective stiffness of the torus for this loading. This stiffness is found anomalous compared to classical shells. These mechanical properties are interpreted using purely geometrical arguments.",

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AU - Pomeau, Yves

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N2 - We investigate the deformation of a thin elastic torus under axisymmetric surface loads. The strain concentrates near the top and bottom parallels and the inner and outer halves essentially undergo rigid-body translations in opposite directions. An analysis of the inner boundary layers is presented, which allows one to compute the effective stiffness of the torus for this loading. This stiffness is found anomalous compared to classical shells. These mechanical properties are interpreted using purely geometrical arguments.

AB - We investigate the deformation of a thin elastic torus under axisymmetric surface loads. The strain concentrates near the top and bottom parallels and the inner and outer halves essentially undergo rigid-body translations in opposite directions. An analysis of the inner boundary layers is presented, which allows one to compute the effective stiffness of the torus for this loading. This stiffness is found anomalous compared to classical shells. These mechanical properties are interpreted using purely geometrical arguments.

KW - Boundary layers

KW - Elastic shells

KW - Solids and structures

U2 - 10.1016/S1631-0721(02)01479-1

DO - 10.1016/S1631-0721(02)01479-1

M3 - Article

AN - SCOPUS:0036614535

SN - 1631-0721

VL - 330

SP - 425

EP - 432

JO - Comptes Rendus - Mecanique

JF - Comptes Rendus - Mecanique

IS - 6

ER -

The elastic torus: Anomalous stiffness of shells with mixed type

Abstract

Keywords

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