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An Investigation on Collapse Behavior of Shear Localization in Elasto- Thermo- Viscoplastic Materials  

Kim, Hyun-Gyu (Department of Mechanical Engineering, Seoul National University of Technology)
Im, Se-Young (Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology)
Publication Information
Journal of Mechanical Science and Technology / v.20, no.12, 2006 , pp. 2178-2188 More about this Journal
Abstract
The stress collapse in the formation of shear bands in elasto-thermo-viscoplatic materials is systematically studied within the framework of one-dimensional formulation via analytical and numerical methods. The elastic energy released in a domain is found to play an important role in the collapse behavior of shear localization. A non-dimensional parameter named the stability indicator is introduced to characterize the collapse behavior, with approximate forms of the incremental governing equations. The stability indicator offers useful information regarding the degree of severity of an abrupt change of deformations during the stress collapse. Numerical experiments are carried out to verify the stability indicator by varying material properties.
Keywords
Shear Localization; Shear Band; Instability; Stress Collapse; Elastic Unloading;
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1 Merzer, A. M., 1982, 'Modelling of Adiabatic Shear Band Development from Small Imperfections,' Journal of the Mechanics and Physics of Solids, Vol. 30, pp. 323-338   DOI   ScienceOn
2 Needleman, A., 1988, 'Material Rate Dependence and Mesh Sensitivity in Localization Problems,' Computer Methods in Applied Mechanics and Engineering, Vol. 67, pp. 69-85   DOI   ScienceOn
3 Wright, T. W. and Walter, J. W., 1987, 'On Stress Collapse in Adiabatic Shear Bands,' Journal of the Mechanics and Physics of Solids, Vol. 35, pp. 701-720   DOI   ScienceOn
4 Wright, T. W., 1987, 'Steady Shearing in a Viscoplastic Solid,' Journal of the Mechanics and Physics of Solids, Vol. 35, pp. 269-282   DOI   ScienceOn
5 Batra, R. C. and Kim, C. H., 1990, 'Effect of Integration Methods on the Solution of an Adiabatic Shear Banding Problem,' International Journal for Numerical Methods in Engineering, Vol. 29, pp. 1639-1652   DOI
6 DiLellio, J. A. and Olmstead, W. E., 1997, 'Temporal Evolution of Shear Band Thickness,' Journal of the Mechanics and Physics of Solids, Vol.45, pp.345-359   DOI   ScienceOn
7 DiLellio, J. A. and Olmstead, W. E., 2003, 'Numerical Solution of Shear Localization in Johnson-Cook Materials,' Mechanics of Materials, Vol. 35, pp. 571-580   DOI   ScienceOn
8 Fressengeas, C., 1989, 'Adiabatic Shear Morphology at Very High Strain Rates,' International Journal of Impact Engineering, Vol. 8, pp. 141-157   DOI   ScienceOn
9 Glimm, J. G., Plohr, B. J. and Sharp, D. H., 1996, 'Tracking of Shear Bands I. The One-dimensional Case,' Mechanics of Materials, Vol. 24, pp. 31-41   DOI   ScienceOn
10 Kim, H. G. and Im, S., 1999, 'Approximate Analysis of a Shear Band in a Thermoviscoplastic Material,' ASME Journal of Applied Mechanics, Vol. 66, pp. 687-694   DOI
11 Litonski. J., 1977. 'Plastic Flow of a Tube un?der Adiabatic Torsion,' Bulletin Acad. Polymer Sciences, Vol. 25, pp. 7-14
12 Lush, A. M., Weber, G. and Anand, L., 1989, 'An Implicit Time-integration Procedure for a Set of Internal Variable Constitutive Equations for Isotropic Elasto-viscoplasticity,' International Journal of Plasticity, Vol. 5, pp. 521-549   DOI   ScienceOn
13 Machand, A. and Duffy, J. W., 1988, 'An Experimental Study of the Formation Process of Adiabatic Shear Bands in a Structural Steel,' Journal of the Mechanics and Physics of Solids, Vol. 35, pp. 251-283   DOI   ScienceOn
14 ?Batra, R. C. and Chen, L., 2001, 'Effect of Viscoplastic Relations on the Instability Strain, Shear Band Initiation Strain, the Strain Corresponding to the Minimum Shear Band Spacing, and the Band Width in a Thermoviscoplastic Ma?terial,' International Journal of Plasticity, Vol. 17, pp. 1465-1489   DOI   ScienceOn