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On the continuation for variational inequalities depending on an eigenvalue parameter

✍ Scribed by Erich Miersemann; Hans D. Mittelmann; W. Törnig

Publisher
John Wiley and Sons
Year
1989
Tongue
English
Weight
441 KB
Volume
11
Category
Article
ISSN
0170-4214

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✦ Synopsis

In this paper we generalize recent theoretical results on the local continuation of parameter-dependent nonlinear variational inequalities. The variational inequalities are rather general and describe, for example, the buckling of beams, plates or shells subject to obstacles. Under a technical hypothesis that is satisfied by the simply supported beam, we obtain the existence of a continuation of both the solution and the eigenvalue with respect to a local parameter. A numerical continuation method is presented that easily overcomes turning points. Numerical results are presented for the non-linear beam.

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