A Nonlinear Korn Inequality Based on the Green-Saint Venant Strain Tensor

Alessandro Musesti

doi:10.1007/s10659-016-9582-5

A Nonlinear Korn Inequality Based on the Green-Saint Venant Strain Tensor

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Abstract

A nonlinear Korn inequality based on the Green-Saint Venant strain tensor is proved, whenever the displacement is in the Sobolev space W^{1,p}, p≥2, under Dirichlet conditions on a part of the boundary. The inequality can be useful in proving the coercivity of a nonlinear elastic energy.

Original language	English
Pages (from-to)	129-134
Number of pages	6
Journal	Journal of Elasticity
Volume	126
DOIs	https://doi.org/10.1007/s10659-016-9582-5
Publication status	Published - 2016

Keywords

Coercivity
Finite elasticity
Geometric rigidity lemma
Nonlinear Korn inequality

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10.1007/s10659-016-9582-5

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title = "A Nonlinear Korn Inequality Based on the Green-Saint Venant Strain Tensor",

abstract = "A nonlinear Korn inequality based on the Green-Saint Venant strain tensor is proved, whenever the displacement is in the Sobolev space W^{1,p}, p≥2, under Dirichlet conditions on a part of the boundary. The inequality can be useful in proving the coercivity of a nonlinear elastic energy.",

keywords = "Coercivity, Finite elasticity, Geometric rigidity lemma, Nonlinear Korn inequality, Coercivity, Finite elasticity, Geometric rigidity lemma, Nonlinear Korn inequality",

author = "Alessandro Musesti",

year = "2016",

doi = "10.1007/s10659-016-9582-5",

language = "English",

volume = "126",

pages = "129--134",

journal = "Journal of Elasticity",

issn = "0374-3535",

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T1 - A Nonlinear Korn Inequality Based on the Green-Saint Venant Strain Tensor

AU - Musesti, Alessandro

PY - 2016

Y1 - 2016

N2 - A nonlinear Korn inequality based on the Green-Saint Venant strain tensor is proved, whenever the displacement is in the Sobolev space W^{1,p}, p≥2, under Dirichlet conditions on a part of the boundary. The inequality can be useful in proving the coercivity of a nonlinear elastic energy.

AB - A nonlinear Korn inequality based on the Green-Saint Venant strain tensor is proved, whenever the displacement is in the Sobolev space W^{1,p}, p≥2, under Dirichlet conditions on a part of the boundary. The inequality can be useful in proving the coercivity of a nonlinear elastic energy.

KW - Coercivity

KW - Finite elasticity

KW - Geometric rigidity lemma

KW - Nonlinear Korn inequality

KW - Coercivity

KW - Finite elasticity

KW - Geometric rigidity lemma

KW - Nonlinear Korn inequality

UR - http://hdl.handle.net/10807/90646

U2 - 10.1007/s10659-016-9582-5

DO - 10.1007/s10659-016-9582-5

M3 - Article

VL - 126

SP - 129

EP - 134

JO - Journal of Elasticity

JF - Journal of Elasticity

SN - 0374-3535

ER -

A Nonlinear Korn Inequality Based on the Green-Saint Venant Strain Tensor

Abstract

Keywords

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