Some existence results for noncoercive problems in nonlinear elasticity with live loadings

Authors
Le, VK
Citation
Vk. Le, Some existence results for noncoercive problems in nonlinear elasticity with live loadings, Z ANG MA ME, 81(2), 2001, pp. 125-133
Citations number
14
Categorie Soggetti
Mechanical Engineering
Journal title
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
ISSN journal
00442267 → ACNP
Volume
81
Issue
2
Year of publication
2001
Pages
125 - 133
Database
ISI
SICI code
0044-2267(2001)81:2<125:SERFNP>2.0.ZU;2-S
Abstract
We consider a noncoercive nonconvex minimization problem with nonlinear per turbing terms: that arises from equilibrium problems in nonlinear elasticit y. in which the body is subjected to live outer loadings. By using a genera lized 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.