On shear band formation: I. Constitutive relationship for a dual yield model

N. Ramakrishnan, S. N. Atluri

Research output: Contribution to journalArticlepeer-review

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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.

Original languageEnglish
Pages (from-to)499-520
Number of pages22
JournalInternational journal of plasticity
Issue number5
StatePublished - 1994


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