Some Existence Results for Noncoercive Problems in Nonlinear Elasticity with Live Loadings

Author

Vy Khoi Le, Missouri University of Science and TechnologyFollow

Abstract

We consider a noncoercive nonconvex minimization problem with nonlinear perturbing terms that arises from equilibrium problems in nonlinear elasticity, in which the body is subjected to live outer loadings. by using a generalized recession method, we find sufficient and necessary conditions for the existence of minimizers of the energy functionals. an example is provided to illustrate the application of the results in cases not treated by usual recession approaches.

Recommended Citation

V. K. Le, "Some Existence Results for Noncoercive Problems in Nonlinear Elasticity with Live Loadings," ZAMM Zeitschrift Fur Angewandte Mathematik Und Mechanik, Wiley-Blackwell, Jan 2001.

The definitive version is available at https://doi.org/10.1002/1521-4001(200102)81:2<125

Department(s)

Mathematics and Statistics

Keywords and Phrases

nonlinear elastic; live loadings; recession functional

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2001 Wiley-Blackwell, All rights reserved.

Publication Date

01 Jan 2001