Tresca type yield surfaces suitable for a kinematic hardening formulation of incremental theory of plasticity are presented. A uniaxial symmetric Tresca yield condition, along with a linear kinematic hardening rule, is utilized to formulate a small displacement, plane stress incremental theory of plasticity. This theory is applicable to materials with both equal and unequal tension and compression yield stress. Constitutive laws for sides and corners of the yield surface are derived. Finite element formulation, numerical solution and application are discussed

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