Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

On the impossibility of arbitrary deformations in nonlinear elasticity

On the impossibility of arbitrary deformations in nonlinear elasticity We employ partly Sobolev classes to obtain a necessary condition for mappings of $$W^{1,p}$$ W 1 , p -class to be deformations of nonlinearly elastic bodies that can be induced by $$L^{q}$$ L q -forces, $$1\le p,\,q <\infty $$ 1 ≤ p , q < ∞ . This condition is useful for studying continuous deformations of non-homogeneous materials and for obtaining stable numerical methods for nonlinear elasticity. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Zeitschrift für angewandte Mathematik und Physik Springer Journals

On the impossibility of arbitrary deformations in nonlinear elasticity

Loading next page...
1
 
/lp/springer_journal/on-the-impossibility-of-arbitrary-deformations-in-nonlinear-elasticity-M6ZDdkFSsn

References (15)

Publisher
Springer Journals
Copyright
Copyright © 2017 by Springer International Publishing AG, part of Springer Nature
Subject
Engineering; Theoretical and Applied Mechanics; Mathematical Methods in Physics
ISSN
0044-2275
eISSN
1420-9039
DOI
10.1007/s00033-017-0895-4
Publisher site
See Article on Publisher Site

Abstract

We employ partly Sobolev classes to obtain a necessary condition for mappings of $$W^{1,p}$$ W 1 , p -class to be deformations of nonlinearly elastic bodies that can be induced by $$L^{q}$$ L q -forces, $$1\le p,\,q <\infty $$ 1 ≤ p , q < ∞ . This condition is useful for studying continuous deformations of non-homogeneous materials and for obtaining stable numerical methods for nonlinear elasticity.

Journal

Zeitschrift für angewandte Mathematik und PhysikSpringer Journals

Published: Nov 29, 2017

There are no references for this article.