On the Stability in Obstacle Problems with Applications to the Beam and Plate

E. Miersemann, Hans Mittelmann

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

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 languageEnglish (US)
Pages (from-to)311-321
Number of pages11
JournalZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume71
Issue number9
DOIs
StatePublished - 1991

ASJC Scopus subject areas

  • Computational Mechanics
  • Applied Mathematics

Fingerprint Dive into the research topics of 'On the Stability in Obstacle Problems with Applications to the Beam and Plate'. Together they form a unique fingerprint.

Cite this