TY - JOUR
T1 - On shear band formation
T2 - I. Constitutive relationship for a dual yield model
AU - Ramakrishnan, N.
AU - Atluri, S. N.
PY - 1994
Y1 - 1994
N2 - A phenomenological constitutive relation, for capturing the shear band formation in a rate-independent elastic-plastic material, is established. The model takes into account both the J2-isotropic flow and a threshold shear stress-based flow. The elastic-plastic constitutive tensor is expressed explicity in terms of elastic constants, the deviatoric stress tensor, the direction of the principal shear velocity-strain, and other material constants. This model particularly facilitates the resolution of the formation of the shear band even under material hardening conditions and does not demand an a priori knowledge of the orientation of the shear band. This is incorporated in an FEM, and the plane strain tensile test of Anand and Spitzig [1980] is numerically simulated. The computed results compare favorably with the experimental data. The shear band emerges more naturally as a solution to the boundary value problem, unlike the situations in solutions based on classical bifurcation methods. Nevertheless, the usefulness of the local instability condition (Ortiz et al. [1987]) is also demonstrated.
AB - A phenomenological constitutive relation, for capturing the shear band formation in a rate-independent elastic-plastic material, is established. The model takes into account both the J2-isotropic flow and a threshold shear stress-based flow. The elastic-plastic constitutive tensor is expressed explicity in terms of elastic constants, the deviatoric stress tensor, the direction of the principal shear velocity-strain, and other material constants. This model particularly facilitates the resolution of the formation of the shear band even under material hardening conditions and does not demand an a priori knowledge of the orientation of the shear band. This is incorporated in an FEM, and the plane strain tensile test of Anand and Spitzig [1980] is numerically simulated. The computed results compare favorably with the experimental data. The shear band emerges more naturally as a solution to the boundary value problem, unlike the situations in solutions based on classical bifurcation methods. Nevertheless, the usefulness of the local instability condition (Ortiz et al. [1987]) is also demonstrated.
UR - http://www.scopus.com/inward/record.url?scp=0027961492&partnerID=8YFLogxK
U2 - 10.1016/0749-6419(94)90011-6
DO - 10.1016/0749-6419(94)90011-6
M3 - Article
AN - SCOPUS:0027961492
SN - 0749-6419
VL - 10
SP - 499
EP - 520
JO - International journal of plasticity
JF - International journal of plasticity
IS - 5
ER -