Journal of Applied Mechanics · 1975 · 588 citations · 0 references
Natural SciencesMaterials EngineeringMaterials ScienceMechanical Behavior Of MaterialsStructural EngineeringStructural MaterialsElastic DeformationPlastic DeformationPlasticityStrain HardeningStrength Of MaterialsStress-strain BehaviorBauschinger EffectHardening BehaviorKinematic HardeningLimit Surface TheoryPlastic StrainPlastic Stress-strain RelationshipStiffnessUniaxial Strain
The paper introduces a plasticity theory that employs a moving, isotropically growing loading surface together with an independently moving limit surface, and develops a multiaxial formulation specialized to uniaxial stress. The model defines plastic stiffness as a function of the distance between the loading and limit surfaces, and its full capability requires memory of three vectors and three scalars, though a simplified version with two vectors suffices for many features. The theory produces a smoother elastic‑plastic transition, an inherent Bauschinger effect, greater flexibility in hardening description, and agrees with uniaxial stress experimental data.
A plasticity theory is presented using the usual concept of a loading surface which moves and isotropically grows, but in addition uses a “limit surface” which grows and moves independently and encloses the loading surface. The plastic stiffness is a function of the distance between the surfaces at the loading point. Characteristics of the theory are a smoother transition between elastic and plastic regions on loading, an inherent Bauschinger effect, and more latitude on the description of hardening characteristics than the traditional methods used in structural codes. The full capability of the theory requires a memory of three vectors and three scalars, while some of the foregoing characteristics can be retained with only two vectors, the same as a traditional kinematic hardening model. The multiaxial theory is presented, particularized, specialized to uniaxial stress and the equations solved. The theory is compared to uniaxial stress experimental results.