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Journal of Elasticity

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26-05-2016 | Research Note

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

Author: Alessandro Musesti

Published in: Journal of Elasticity | Issue 1/2017

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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 \(W^{1,p}\), \(p\geq 2\), under Dirichlet conditions on a part of the boundary. The inequality can be useful in proving the coercivity of a nonlinear elastic energy.

previous article Erratum to: Static and Dynamic Green’s Functions in Peridynamics

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Title: A Nonlinear Korn Inequality Based on the Green-Saint Venant Strain Tensor
Author: Alessandro Musesti
Publication date: 26-05-2016
Publisher: Springer Netherlands
Published in: Journal of Elasticity / Issue 1/2017
Print ISSN: 0374-3535
Electronic ISSN: 1573-2681
DOI: https://doi.org/10.1007/s10659-016-9582-5

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Other articles of this Issue 1/2017

A Dugdale-Barenblatt Crack Between Dissimilar Media

On the Generalization of Reissner Plate Theory to Laminated Plates, Part I: Theory

On the Generalization of Reissner Plate Theory to Laminated Plates, Part II: Comparison with the Bending-Gradient Theory

Static and Dynamic Green’s Functions in Peridynamics

Non-metric Connection and Metric Anomalies in Materially Uniform Elastic Solids

Erratum to: Static and Dynamic Green’s Functions in Peridynamics

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