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Yielding of two‐layer curved bars under pure bending
Author(s) -
Arslan E.,
Sülü İY.
Publication year - 2014
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.201200104
Subject(s) - bending , bar (unit) , materials science , plasticity , composite material , surface (topology) , yield (engineering) , bending moment , stress (linguistics) , plastic bending , layer (electronics) , deformation (meteorology) , pure bending , structural engineering , mechanics , geometry , bending stiffness , physics , mathematics , engineering , linguistics , philosophy , meteorology
Yielding of a curved bar consisting of two layers subject to pure bending is investigated. It is assumed that both layers of the bar are in a state of plane stress and Tresca's yield criterion is used to detect onset of plasticization. Analytical expressions are obtained for the bending moments corresponding to the elastic limit leading to plastic flow. The results show that, depending on material properties and dimensions of the layers, different cases for plastic deformation may occur. Yielding may emerge at the inner or outer surface of the bar or at the interface between two layers. Furthermore, a critical case in which yielding commences at the outer and interface surfaces simultaneously was observed. Numerical results for real engineering materials are presented in graphical form.