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Elastic‐Plastic Transition
Author(s) -
Purushothama C. M.
Publication year - 1965
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.19650450605
Subject(s) - yield (engineering) , plastic bending , bending , cylinder , state (computer science) , mathematics , geometry , structural engineering , materials science , engineering , bending stiffness , composite material , algorithm
In the theory of Elastic‐Plastic Transition, developed by B. R. Seth in some of his recent papers, it is important to have an idea in advance, of the transition point where transition from elastic to plastic state may take place. In all the known cases they can be identified with a principal value of the Cauchy deformation matrix approaching zero. This idea has been used in solving the problem of plastic bending of a rectangular sheet with the condition that the boundary remain orthogonal in the strained state. We find that it is possible to bend the sheet into a cylinder with its transverse section having equiangular spirals as boundaries. We do not assume any yield criterion, but Tresca's yield condition comes out of the analysis.