Multiple Natural States for an Elastic Isotropic Material with Polyconvex Stored Energy |
| |
| Authors: | Roger Fosdick Gianni Royer-Carfagni |
| |
| Affiliation: | (1) Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, MN, 55455, U.S.A.;(2) Department of Civil Engineering, University of Parma, Parco Area delle Scienze 181/A, I 43100 Parma, Italy |
| |
| Abstract: | We show a necessary and sufficient condition for the undistorted reference configuration y(x)=x, with ∇y=F=1, to be a minimizer of the total stored energy for an isotropic elastic body. Polyconvexity of the stored energy function is not sufficient, and we give an example which possesses two distinct natural (i.e., unstressed) states to illustrate this point. This revised version was published online in July 2006 with corrections to the Cover Date. |
| |
| Keywords: | nonlinear elasticity isotropic material polyconvexity |
| 本文献已被 SpringerLink 等数据库收录！ |
|
