Numerical solutions of shear localization in a finite slab

Mechanics of Materials

Volumn 29, Issue 2, 1998, Pages 71-80

  DiLellio, J A ^a   Olmstead, W E ^b  

^a AEROSPACE CORPORATION   (United States)

^b Northwestern University   (United States)

Author keywords

Boundary layer methods; Elastic viscoplastic; Numerical simulation

Indexed keywords

BOUNDARY ELEMENT METHOD; COMPUTER SIMULATION; ELASTICITY; STRESS ANALYSIS; VISCOPLASTICITY;

SHEAR LOCALIZATION;

SHEAR STRESS;

EID: 0032123265     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6636(98)00002-7     Document Type: Article

References (19)

1. Bai, Y., 1990. Adiabatic shear banding. Res. Mech. 31, 133-203.
2. Batra, R., 1987. Effect of material parameters on the initiation and growth of adiabatic shear bands. Int. J. Solids Struct. 23, 1435-1446.
3. Batra, R., Kim, C., 1990. Adiabatic shear banding in elastic -viscoplastic nonpolar and dipolar materials. Int. J. Plasticity 6, 127-141.
4. Bayliss, A., Belytschko, T., Kulkarni, M., Lott-Crumpler, D., 1994. On the dynamics and the role of imperfections for localization in thermoviscoplastic materials. Modelling Simul. Mater. Sci. Eng. 2, 941-964.
5. Burns, T., 1985. Approximate linear stability analysis of a model of adiabatic shear band formation. Q. Appl. Math. 43, 65-84.
6. Clifton, R., Duffy, J., Hartley, K., Shawki, T., 1984. On critical conditions for shear band formation at high strain rates. Scr. Met. 18, 443-448.
7. DiLellio, J., Olmstead, W., 1997a. Temporal evolution of shear band thickness. J. Mech. Phys. Solids 45, 345-359.
8. DiLellio, J., Olmstead, W., 1997b. Shear band formation due to a thermal flux inhomogeneity. SIAM J. Appl. Math. 57, 959-971.
9. Gioia, G., Ortiz, M., 1996. The two-dimensional structure of dynamic boundary layers and shear bands in thermoviscoplastic solids. J. Mech. Phys. Solids 44, 251-292.
10. Glimm, J., Plohr, B., Sharp, D., 1993. A conservative formulation for large-deformation plasticity. Appl. Mech. Rev. 46, 519-526.
11. Glimm, J.G., Plohr, B., Sharp, D., 1996. Tracking of shear bands: I. The one-dimensional case. Mech. Mater. 24, 31-41.
12. Molinari, A., Clifton, R., 1987. Analytical characterization of shear localization in thermoviscoplastic materials. J. Appl. Mech. 54, 806-812.
13. Olmstead, W.E., Nemat-Nasser, S., Ni, L., 1994. Shear bands as surfaces of discontinuity. J. Mech. Phys. Solids 42, 697-709.
14. Walter, J., 1990. Numerical experiments on adiabatic shear band formation in one dimension. Int. J. Plasticity 8, 657-693.
15. Wright, T., 1987. Steady shearing in a viscoplastic solid. J. Mech. Phys. Solids 35, 269-282.
16. Wright, T., 1992. Shear band susceptibility: work hardening materials. Int. J. Plasticity 8, 583-602.
17. Wright, T., Batra, R., 1985. The initiation and growth of adiabatic shear bands. Int. J. Plasticity 1, 205-212.
18. Wright, T., Ockendon, H., 1992. A model for fully formed shear bands. J. Mech. Phys. Solids 40, 1217-1226.
19. Wright, T., Walter, J., 1987. On stress collapse in adiabatic shear bands. J. Mech. Phys. Solids 35, 701-720.