Determination of unknown elastoplastic properties in Signorini problem

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Hasanov A., Seyidmamedov Z.

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, vol.33, no.6, pp.979-991, 1998 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 33 Issue: 6
• Publication Date: 1998
• Doi Number: 10.1016/s0020-7462(97)00062-0
• Journal Name: INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.979-991
• Kocaeli University Affiliated: No

Abstract

The problem of recovering the plasticity function of non-linear Lame equation from the knowledge of penetration diagram is considered. Mathematical modelling of the identification problem leads to an inverse Signorini problem for a non-linear operator with a non-local additional condition (measured data). Using a variational method coefficient stability in H-1 is proved. Then based on this result, the existence of a quasisolution is obtained in a physically admissible class of coefficients. The numerical method and examples are also presented. (C) 1998 Elsevier Science Ltd. All rights reserved.