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

E. Miersemann; Hans Mittelmann

doi:10.1002/zamm.19910710902

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

E. Miersemann, Hans Mittelmann

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

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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 language	English (US)
Pages (from-to)	311-321
Number of pages	11
Journal	ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume	71
Issue number	9
DOIs	https://doi.org/10.1002/zamm.19910710902
State	Published - 1991

ASJC Scopus subject areas

Computational Mechanics
Applied Mathematics

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10.1002/zamm.19910710902

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title = "On the Stability in Obstacle Problems with Applications to the Beam and Plate",

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.",

author = "E. Miersemann and Hans Mittelmann",

year = "1991",

doi = "10.1002/zamm.19910710902",

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volume = "71",

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AU - Mittelmann, Hans

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N2 - 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.

AB - 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.

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

Abstract

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