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Large deflection of a supported circular plate having a non‐linear stress‐strain relation
Author(s) -
Ohashi Yoshio,
Kamiya Norio
Publication year - 1968
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19680480303
Subject(s) - deflection (physics) , compressibility , materials science , stress–strain curve , aluminium , mathematical analysis , mathematics , structural engineering , mechanics , classical mechanics , physics , composite material , engineering
In this paper, fundamental equations for analysing a large deflection of thin circular plate having non‐linear stress‐strain relation were introduced by expressing the stress‐strain relation with a third order polynomial form between the effective stress and strain, and taking into account the effects of the compressibility of material and the membrane force induced by the deflection of the plate. Though the above mentioned representation cannot be applied for large e more than a certain limit, since the limit corresponds with a fairly large deflection of the plate, the result of analysis may be considered as useful in actual purpose. The corresponding experiment using an aluminium alloy plate showed a good agreement with the analytical result within a fairly wide range of strain and proved a high accuracy of this analysis.