Geodesic
Modeling of the quasiperiodic processes of adiabatic shear bands formation
Matematičeskoe modelirovanie, Tome 23 (2011) no. 10, pp. 117-132

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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. 
@article{MM_2011_23_10_a8,
     author = {V. I. Koshkin and N. A. Kudryashov and P. N. Ryabov},
     title = {Modeling of the quasiperiodic processes of adiabatic shear bands formation},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {117--132},
     publisher = {mathdoc},
     volume = {23},
     number = {10},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2011_23_10_a8/}
}
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V. I. Koshkin; N. A. Kudryashov; P. N. Ryabov. Modeling of the quasiperiodic processes of adiabatic shear bands formation. Matematičeskoe modelirovanie, Tome 23 (2011) no. 10, pp. 117-132. http://geodesic.mathdoc.fr/item/MM_2011_23_10_a8/