We consider the equations describing the dynamics of radial motions for isotropic elastic materials; these form a system of non-homogeneous conservation laws. We construct a variational approximation scheme that decreases the total mechanical energy and at the same time leads to physically realizable motions that avoid interpenetration of matter.
|Original language||English (US)|
|Number of pages||29|
|Journal||Communications in Mathematical Sciences|
|State||Published - Mar 2012|
- Variational approximation
ASJC Scopus subject areas
- Applied Mathematics