Tracking of shear bands I. The one-dimensional case

Mechanics of Materials

Volumn 24, Issue 1, 1996, Pages 31-41

  Glimm, James G ^a   Plohr, Bradley J ^a   Sharp, David H ^b  

^a STONY BROOK UNIVERSITY   (United States)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

Elastoplasticity; Front tracking; Shear bands

Indexed keywords

CALCULATIONS; COMPUTATIONAL METHODS; COMPUTER SIMULATION; ELASTICITY; ELASTOPLASTICITY; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; SHEAR STRESS; WAVE PROPAGATION;

COMPOSITE STRUCTURE; FRONT TRACKING; ONE DIMENSIONAL CASE; QUASISTATIC CORE; SHEAR BANDS; THERMAL LAYER;

BAND STRUCTURE;

EID: 0030232882     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-6636(96)00029-4     Document Type: Article

References (10)

1. Clifton, R., J. Duffy, K. Hartley and T. Shawki (1984), On critical conditions for shear band formation at high strain rates, Scr. Metall. 18, 443-448.
2. Glimm, J., B. Plohr and D. Sharp (1993), A conservative formulation for large-deformation plasticity, Appl. Mech. Rev. 46, 519-526.
3. Olmstead, W., S. Nemat-Nasser and L. Ni (1994), Shear bands as discontinuities, J. Mech. Phys. Solids 42, 697-709.
4. Plohr, B. and D. Sharp (1992), A conservative formulation for plasticity, Adv. Appl. Math. 13, 462-493.
5. Walter, J. (1992), Numerical experiments on adiabatic shear band formation in one dimension, Int. J. Plasticity 8, 657-693.
6. Wright, T. (1987), Steady shearing motions in a viscoplastic solid, J. Mech. Phys. Solids 35, 269-282.
7. Wright, T. and R. Batra (1985), The initiation and growth of adiabatic shear bands, Int. J. Plasticity 1, 205.
8. Wright, T. and H. Ockendon (1992), A model for fully formed shear bands, J. Mech. Phys. Solids 40, 1217-1226.
9. Wright, T. and J. Walter (1995), The asymptotic structure of an adiabatic shear band in antiplane motron, J. Mech. Phys. Solids, submitted.
10. Zener, C. and J. Hollomon (1944), Effect of strain rate upon plastic flow of steel, J. Appl. Phys. 15, 22-32.