Yielding of two-layer curved bars under pure bending

• Published in: Zeitschrift für angewandte Mathematik und Mechanik 2014-09, Vol.94 (9), p.713-720
• Main Authors: Arslan, E., Sülü, İY.
• Format: Article
• Language: English
• Subjects: Bending; Bending moments; Composite curved bar; Criteria; Curved; Elastic limit; elastic stress analysis; Exact solutions; Mathematical analysis; onset of yielding; Plastic deformation; pure bending; Tresca's criterion
• ISSN: 0044-2267; 1521-4001
• DOI: 10.1002/zamm.201200104

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. 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.