A numerical methodology for investigating the formation of adiabatic shear bands

by: F Zhou, TW Wright, KT Ramesh

Journal of the Mechanics and Physics of Solids, Vol. 54, No. 5. (May 2006), pp. 904-926.

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Abstract

In this paper, we present a numerical approach for analyzing thermo-visco-plastic deformation in one dimension. The method, which is accurate to second order, is based on integration along the characteristic lines. It is able to simulate fully localized plastic flow with high resolution and good efficiency. We apply this numerical scheme to the analysis of shear localization, emphasizing the interactions between a single shear band and its surroundings and among the members of a periodic array of shear bands. It is found that a shear band may grow intermittently due to interactions with other bands. The developed method is specifically adequate for analyzing the self-organized multiple adiabatic formation process, which will be discussed in the follow-up paper.

@article{ZHOU2006, abstract = {In this paper, we present a numerical approach for analyzing thermo-visco-plastic deformation in one dimension. The method, which is accurate to second order, is based on integration along the characteristic lines. It is able to simulate fully localized plastic flow with high resolution and good efficiency. We apply this numerical scheme to the analysis of shear localization, emphasizing the interactions between a single shear band and its surroundings and among the members of a periodic array of shear bands. It is found that a shear band may grow intermittently due to interactions with other bands. The developed method is specifically adequate for analyzing the self-organized multiple adiabatic formation process, which will be discussed in the follow-up paper.}, author = {Zhou, F. and Wright, T. W. and Ramesh, K. T. }, citeulike-article-id = {1595303}, doi = {10.1016/j.jmps.2005.12.002}, journal = {Journal of the Mechanics and Physics of Solids}, keywords = {band, boundary, cohesive, condition, hardening, localization, numerical, softening, unloading}, month = {May}, number = {5}, pages = {904--926}, posted-at = {2007-08-26 23:47:31}, priority = {2}, title = {A numerical methodology for investigating the formation of adiabatic shear bands}, url = {http://dx.doi.org/10.1016/j.jmps.2005.12.002}, volume = {54}, year = {2006} }

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TY - JOUR ID - ZHOU2006 L3 - citeulike-article-id:1595303 TI - A numerical methodology for investigating the formation of adiabatic shear bands JF - Journal of the Mechanics and Physics of Solids VL - 54 IS - 5 SP - 904 EP - 926 N2 - In this paper, we present a numerical approach for analyzing thermo-visco-plastic deformation in one dimension. The method, which is accurate to second order, is based on integration along the characteristic lines. It is able to simulate fully localized plastic flow with high resolution and good efficiency. We apply this numerical scheme to the analysis of shear localization, emphasizing the interactions between a single shear band and its surroundings and among the members of a periodic array of shear bands. It is found that a shear band may grow intermittently due to interactions with other bands. The developed method is specifically adequate for analyzing the self-organized multiple adiabatic formation process, which will be discussed in the follow-up paper. KW - band KW - boundary KW - cohesive KW - condition KW - hardening KW - localization KW - numerical KW - softening KW - unloading AU - Zhou, F AU - Wright, TW AU - Ramesh, KT PY - 2006/05// UR - http://dx.doi.org/10.1016/j.jmps.2005.12.002 ER -

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