Potential fields of free energy at the stages of hardening and softening of the Hencky medium at nonpositivity of volume deformation

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki

Valery V Struzhanov¹  Kirill V Berdnikov¹ 

[1] Institute of Engineering Science, Ural Branch of RAS;

关键词: hencky medium;    free energy;    potential fields;    level lines;    hardening;    softening;   

DOI  :  10.14498/vsgtu1307

来源: DOAJ

【 摘 要 】

The Hencky medium with softening under isothermal and quasistatic deformation is considered. It is believed that volume deformation is not positive. In this case softening is characterized by the part of union curve with negative slope. For aforementioned conditions function of free energy is presented. For all stages of deformation in the space “volume deformation - intensity of shear’s deformation” level lines of the free energy are constructed. It is established that level lines are ellipses in hardening and function of free energy increases with distance from their centers, while in softening hyperbolas are level lines and function of free energy decreases with distance from their centers. Obtained results indirectly confirm the change in type of boundary value problem from elliptic to hyperbolic under material transition to the softening.

【 授权许可】

Unknown