On One Class of Dual Problems of Mechanics of Deformable Solids

International Scientific and Practical Conference on Urgent Problems of Modern Mechanical Engineering

机械制造;材料科学

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

Institute of Mining of Siberian Branch, Russian Academy of Sciences, Red avenue, 54, Novosibirsk, Russia^1

Yugra Technological Institute Branch of Tomsk Polytechnic University, Leningradskaya str. 26, Kemerovo region, Yurga, Russia^2

关键词: Airy stress function;    Body modeling;    Displacement field;    Mechanics of deformable solids;    Plane deformation;    Stress potential;    Vector displacement;    Vector fields;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/127/1/012015/pdf
DOI  :  10.1088/1757-899X/127/1/012015

学科分类：材料科学（综合）

来源: IOP

【 摘 要 】

Inelastic body's plane deformation is described by two vector fields: vector stress potential (gradient of Airy stress function) and vector displacement field. Conditions for possibility of proceeding to the dual problem, when variables change the roles, are described: stress potential is interpreted as displacement field and vice versa. Both a perfectly plastic body model and its dual model of perfectly solidifying matter are considered.