A note on strong ellipticity in two-dimensional isotropic elasticity

Domenico De Tommasi; Giuseppe Puglisi; Giuseppe Zurlo

doi:10.1007/s10659-011-9370-1

A note on strong ellipticity in two-dimensional isotropic elasticity

Domenico De Tommasi, Giuseppe Puglisi, Giuseppe Zurlo

Dell'Universit e Del Politecnico di Bari

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

11 Citations (Scopus)

Abstract

Based on the choice of two physically meaningful strain measures, we study necessary and sufficient conditions for strong ellipticity of the equilibrium equations for two-dimensional isotropic hyperelastic bodies. Specifically, we show, depending on the values of the derivatives of the energy function, that strong ellipticity is equivalent to a single condition with a clear physical interpretation.

Original language	English
Pages (from-to)	67-74
Number of pages	8
Journal	Journal of Elasticity
Volume	109
Issue number	1
DOIs	https://doi.org/10.1007/s10659-011-9370-1
Publication status	Published - Sep 2012
Externally published	Yes

Keywords

Isotropic materials
Nonlinear elasticity
Plane deformations
Strong ellipticity

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10.1007/s10659-011-9370-1

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title = "A note on strong ellipticity in two-dimensional isotropic elasticity",

abstract = "Based on the choice of two physically meaningful strain measures, we study necessary and sufficient conditions for strong ellipticity of the equilibrium equations for two-dimensional isotropic hyperelastic bodies. Specifically, we show, depending on the values of the derivatives of the energy function, that strong ellipticity is equivalent to a single condition with a clear physical interpretation.",

keywords = "Isotropic materials, Nonlinear elasticity, Plane deformations, Strong ellipticity",

author = "\{De Tommasi\}, Domenico and Giuseppe Puglisi and Giuseppe Zurlo",

year = "2012",

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doi = "10.1007/s10659-011-9370-1",

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journal = "Journal of Elasticity",

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T1 - A note on strong ellipticity in two-dimensional isotropic elasticity

AU - De Tommasi, Domenico

AU - Puglisi, Giuseppe

AU - Zurlo, Giuseppe

PY - 2012/9

Y1 - 2012/9

N2 - Based on the choice of two physically meaningful strain measures, we study necessary and sufficient conditions for strong ellipticity of the equilibrium equations for two-dimensional isotropic hyperelastic bodies. Specifically, we show, depending on the values of the derivatives of the energy function, that strong ellipticity is equivalent to a single condition with a clear physical interpretation.

AB - Based on the choice of two physically meaningful strain measures, we study necessary and sufficient conditions for strong ellipticity of the equilibrium equations for two-dimensional isotropic hyperelastic bodies. Specifically, we show, depending on the values of the derivatives of the energy function, that strong ellipticity is equivalent to a single condition with a clear physical interpretation.

KW - Isotropic materials

KW - Nonlinear elasticity

KW - Plane deformations

KW - Strong ellipticity

UR - https://www.scopus.com/pages/publications/84864459277

U2 - 10.1007/s10659-011-9370-1

DO - 10.1007/s10659-011-9370-1

M3 - Article

SN - 0374-3535

VL - 109

SP - 67

EP - 74

JO - Journal of Elasticity

JF - Journal of Elasticity

IS - 1

ER -

A note on strong ellipticity in two-dimensional isotropic elasticity

Abstract

Keywords

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