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Matem. Mod., 2011, Volume 23, Number 10, Pages 117–132 (Mi mm3169)  

Modeling of the quasiperiodic processes of adiabatic shear bands formation

V. I. Koshkin, N. A. Kudryashov, P. N. Ryabov

National Research Nuclear University MEPHI, Moscow, Russia

Abstract: Adiabatic shear bands (ASB) formation in aluminum 7039 Al, depleted uranium DU-0.75Ti and steel HY-100 under shear deformations is considered. We proposed numerical algorithm and finite difference scheme for numerical investigation of the ASB formation processes. It was shown that the processes of ASB formation are quasiperiodic. Evolution of the average stress, temperature and plastic strain rate with time is introduced. It is established that the localization time can be defined using this dependences. The method for calculation the distance between ASB is proposed. This method is based on deformation criterion. We demonstrated the results of distance estimation between ASB in aluminum, depleted uranium and steel.

Keywords: adiabatic shear band; deformation; destruction; material; crack; method of characteristics

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Bibliographic databases:
UDC: 539.42
Received: 03.03.2011

Citation: V. I. Koshkin, N. A. Kudryashov, P. N. Ryabov, “Modeling of the quasiperiodic processes of adiabatic shear bands formation”, Matem. Mod., 23:10 (2011), 117–132

Citation in format AMSBIB
\Bibitem{KosKudRya11}
\by V.~I.~Koshkin, N.~A.~Kudryashov, P.~N.~Ryabov
\paper Modeling of the quasiperiodic processes of adiabatic shear bands formation
\jour Matem. Mod.
\yr 2011
\vol 23
\issue 10
\pages 117--132
\mathnet{http://mi.mathnet.ru/mm3169}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2964348}


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