A general solution to the two-surface plasticity theory

Article Abstract:

A closed-form general solution to the two-surface plasticity theory for linear stress paths is derived. The simple two-surface model indicates that the response of the material stabilizes immediately during the first loading cycle. The model predicts that under any cyclic linear loading conditions, the material response can always be ratchetting, with no possibility of shakedown of any kinds, which violates those aspects of material behavior that are generally thought to be important in constitutive modeling.

Plasticity

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Effect of yield surface curvature on local necking in biaxially stretched sheets in porous materials

Article Abstract:

The Sun model developed from the lower bound approach of plasticity is extended by introducing a family of dilatant plasticity theories. This kinematic hardening version model is analyzed with three others including, the isotropic hardening version of Sun, the Gurson model and the Mear and Hutchinson model. Results show that local necking predictions are affected by yield surface curvature and that the kinematic hardening model is more accurate for local necking analysis.

Analysis, Curvature, Curvature (Mathematics)

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Localized necking criterion for strain-softening materials

Article Abstract:

The development of a localized necking criterion based on the singularity of acoustic tensor is presented that is applicable to materials exhibiting strain-softening behavior. The tensor form of the criterion is deployed in simple mathematical expressions, based on the forming limit diagrams (FLD) of strain softening materials.

Product information, Testing, Composite materials, Strains and stresses, Stresses (Materials), Properties

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