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Analysis of Unloading on a Thin Cirular Plate of Mild Steel Using Actual Unloading Stress‐Strain Relation
Author(s) -
Ohashi Y.,
Kawashima K.
Publication year - 1970
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.19700500704
Subject(s) - polynomial , stress (linguistics) , materials science , strain (injury) , bent molecular geometry , inverse , stress–strain curve , deformation (meteorology) , range (aeronautics) , structural engineering , mathematics , mathematical analysis , mechanics , composite material , geometry , physics , engineering , medicine , philosophy , linguistics
The actual stress‐strain relation of mild steel in the unloading and subsequent inverse loading processes from plastic state shows a continuous curve without discrete yield point, and its configuration depends on the value of plastic prestrain. In the present paper, in formulating the relation, effective stress in the processes was expressed as a polynomial of the corresponding effective strain in which each coefficient was expressed again as a polynomial of plastic pre‐strain. Then, precise fundamental equations analysing the unloading deformation of a thin circular plate of mild steel are derived by using the above mentioned unloading stress‐strain relation. To examine the validity and applicable range of the derived equations, they are applied to analyse the case of a supported thin circular plate bent by uniform lateral pressure, and the analytical result is compared with that obtained by the corresponding experiment.