New stability results are proved for solutions to variational inequalities with an eigenvalue parameter. These describe obstacle problems and rather general nonconstant obstacle functions are considered. Sufficient conditions are given for the solution bifurcating at the critical load to define a minimum of the associated energy functional. One of the results is that the stability behavior depends discontinuously on the obstacle. Applications to the beam and plate are given both in analytical and numerical form.
|Original language||English (US)|
|Number of pages||11|
|Journal||ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik|
|State||Published - 1991|
ASJC Scopus subject areas
- Computational Mechanics
- Applied Mathematics