The formation of multiple adiabatic shear bands

@article{citeulike:1595306, abstract = {In a previous paper, Zhou et al. [2006. A numerical methodology for investigating adiabatic shear band formation. J. Mech. Phys. Solids, 54, 904-926] developed a numerical method for analyzing one-dimensional deformation of thermoviscoplastic materials. The method uses a second order algorithm for integration along characteristic lines, and computes the plastic flow after complete localization with high resolution and efficiency. We apply this numerical scheme to analyze localization in a thermoviscoplastic material where multiple shear bands are allowed to form at random locations in a large specimen. As a shear band develops, it unloads neighboring regions and interacts with other bands. Beginning with a random distribution of imperfections, which might be imagined as arising qualitatively from the microstructure, we obtain the average spacing of shear bands through calculations and compare our results with previously existing theoretical estimates. It is found that the spacing between nucleating shear bands follows the perturbation theory due to Wright and Ockendon [1996. A scaling law for the effect of inertia on the formation of adiabatic shear bands. Int. J. Plasticity 12, 927-934], whereas the spacing between mature shear bands is closer to that predicted by the momentum diffusion theory of Grady and Kipp [1987. The growth of unstable thermoplastic shear with application to steady-wave shock compression in solids. J. Mech. Phys. Solids 35, 95-119]. Scaling laws for the dependence of band spacing on material parameters differ in many respects from either theory.}, author = {Zhou, F. and Wright, T. W. and Ramesh, K. T. }, citeulike-article-id = {1595306}, doi = {http://dx.doi.org/10.1016/j.jmps.2006.01.006}, journal = {Journal of the Mechanics and Physics of Solids}, keywords = {2006, shear, shearband}, month = {July}, number = {7}, pages = {1376--1400}, posted-at = {2008-07-23 21:56:30}, priority = {2}, title = {The formation of multiple adiabatic shear bands}, url = {http://dx.doi.org/10.1016/j.jmps.2006.01.006}, volume = {54}, year = {2006} }

TY - JOUR ID - citeulike:1595306 L3 - citeulike-article-id:1595306 N2 - In a previous paper, Zhou et al. [2006. A numerical methodology for investigating adiabatic shear band formation. J. Mech. Phys. Solids, 54, 904-926] developed a numerical method for analyzing one-dimensional deformation of thermoviscoplastic materials. The method uses a second order algorithm for integration along characteristic lines, and computes the plastic flow after complete localization with high resolution and efficiency. We apply this numerical scheme to analyze localization in a thermoviscoplastic material where multiple shear bands are allowed to form at random locations in a large specimen. As a shear band develops, it unloads neighboring regions and interacts with other bands. Beginning with a random distribution of imperfections, which might be imagined as arising qualitatively from the microstructure, we obtain the average spacing of shear bands through calculations and compare our results with previously existing theoretical estimates. It is found that the spacing between nucleating shear bands follows the perturbation theory due to Wright and Ockendon [1996. A scaling law for the effect of inertia on the formation of adiabatic shear bands. Int. J. Plasticity 12, 927-934], whereas the spacing between mature shear bands is closer to that predicted by the momentum diffusion theory of Grady and Kipp [1987. The growth of unstable thermoplastic shear with application to steady-wave shock compression in solids. J. Mech. Phys. Solids 35, 95-119]. Scaling laws for the dependence of band spacing on material parameters differ in many respects from either theory. IS - 7 JF - Journal of the Mechanics and Physics of Solids EP - 1400 TI - The formation of multiple adiabatic shear bands VL - 54 SP - 1376 KW - 2006 KW - shear KW - shearband AU - Zhou, F AU - Wright, TW AU - Ramesh, KT PY - 2006/07// UR - http://dx.doi.org/10.1016/j.jmps.2006.01.006 ER -