On the theory of plasticity, associated with a new integral characteristic of shearing stresses

6th International Scientific Practical Conference on Innovative Technologies and Economics in Engineering

工业技术;经济学

Kazantsev, A.A.^1 ; Mikenina, O.A.^2 ; Revuzhenko, A.F.^2

Yugra Institute of Technology, TPU Affiliate, Yurga, Russia^1

Institute of Mining of Siberian Branch of RAS, Novosibirsk, Russia^2

关键词: Characteristic surfaces;    Determining equation;    Elasto-plastic;    Integral characteristics;    Invariant of stress;    Mohr's circles;    Shearing stress;    Theory of plasticity;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/91/1/012090/pdf
DOI  :  10.1088/1757-899X/91/1/012090

学科分类：工业工程学

来源: IOP

【 摘 要 】

A new invariant of stress tensor is introduced - the mean shearing stress, resulted from the integration with respect to Mohr's circle. The invariant is used to lay down the terms of plasticity. Determining equations are written on the basis of associated flow law. Rigid variants of the model and elastoplastic ones are obtained. Characteristic surfaces with normals, coinciding with main stresses direction are demonstrated for the rigid-plastic variant.