A new method of solving plane-strain boundary value problems for the double slip and rotation model

Sergei Alexandrov, Elena Lyamina, Yeau Rean Jeng

研究成果: Article同行評審

摘要

A method of solving plane-strain boundary value problems for a reduced version of the double slip and rotation model is developed. It is assumed that the intrinsic spin vanishes. Elastic strains are neglected. The Mohr–Coulomb yield criterion is adopted. An analogy between the solutions for this model and classical rigid plastic solutions of pressure-independent plasticity is revealed. The method is based on introducing auxiliary variables that satisfy the equation of telegraphy in regions where both families of characteristics are curved. Therefore, Riemann’s method can conveniently be applied to solving boundary value problems. The method is employed for analyzing the processes of plane-strain drawing and extrusion through a wedge-shaped die. Friction is neglected. The solution is given in terms of ordinary integrals. The effect of the angle of internal friction on processes’ parameters is revealed. The solution reduces to available solutions of pressure-independent plasticity if the angle of internal friction vanishes.

原文English
頁(從 - 到)53-67
頁數15
期刊Journal of Mechanics
40
DOIs
出版狀態Published - 2024

All Science Journal Classification (ASJC) codes

  • 凝聚態物理學
  • 機械工業
  • 應用數學

指紋

深入研究「A new method of solving plane-strain boundary value problems for the double slip and rotation model」主題。共同形成了獨特的指紋。

引用此