Adiabatic shear bands localization in materials undergoing deformations

5th International Conference on "Problems of Mathematical and Theoretical Physics and Mathematical Modelling"

物理学;数学

Ryabov, P.N.^1 ; Kudryashov, N.A.^1 ; Muratov, R.V.^1

National Research Nuclear University, MEPhI (Moscow Engineering Physics Institute), Kashirskoe shosse 31, Moscow, Russia^1

关键词: Adiabatic shear band;    Adiabatic shear banding;    Bench-mark problems;    Characteristic depths;    Numerical algorithms;    Plastic materials;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/788/1/012031/pdf
DOI  :  10.1088/1742-6596/788/1/012031

来源: IOP

【 摘 要 】

We consider the adiabatic shear banding phenomenon in composite materials undergoing the high speed shear deformations. The mathematical model of adiabatic shear banding in thermo-visco-plastic material is given. New two step numerical algorithm which is based on the Courant-Isaacson-Rees scheme that allows one to simulate fully localized plastic flow from initial stage of localization is proposed. To test this numerical algorithm we use three benchmark problems. The testing results show the accuracy and efficiency of proposed algorithm. The features of adiabatic shear bands formation in composites are studied. The existence of characteristic depth of localization in composites is shown. Influence of initial temperature distribution on the processes of adiabatic shear bands formation in composites is considered.