Front Cover -- Plasticity of Metallic Materials -- Plasticity of Metallic Materials -- Copyright -- Contents -- Preface -- 1 -- Constitutive framework -- 1.1 Introduction -- 1.2 Historical notes on the theory of plasticity -- 1.3 Ideal plasticity -- 1.3.1 Governing equations for elastic-plastic work-hardening materials -- Kinematic hardening -- 1.4 Time-integration algorithm for stress-based elastic/plastic constitutive models -- References -- 2 -- Yield criteria for isotropic materials -- 2.1 General mathematical form of the yield function of an isotropic material
2.2 Yield criterion of von Mises -- 2.3 Tresca yield criterion -- Strain-rate-based potential associated to Tresca stress potential -- 2.4 Yield criteria depending on J2 and J3 -- 2.4.1 Drucker (1949) yield criterion -- 2.4.2 Cazacu (2018) yield criterion -- 2.5 Non-quadratic isotropic yield criteria in terms of the eigenvalues of the stress deviator -- 2.5.1 Hershey-Hosford and Karafillis-Boyce isotropic criteria -- 2.5.2 Explicit expressions of the Hershey-Hosford and Karafillis-Boyce yield functions in terms of stress invariants
2.6 Influence of the yielding characteristics on the size of the plastic zone near a crack in a thin sheet loaded in tension -- 2.6.1 Statement of the problem and determination of the elastic stress field -- 2.6.2 Plastic zone in front of a crack -- 2.6.3 Analytical expression for the size of the plastic zone for material with yielding described by the Tresca yield criterion -- 2.6.4 Analytic expression for the size of the plastic zone for materials with yielding described by the von Mises yield criterion
2.7 Yield criteria for fully dense isotropic metallic materials showing asymmetry between tension and compression -- 2.7.1 Cazacu and Barlat (2004) criterion -- Convexity of the Cazacu and Barlat (2004) yield criterion -- 2.7.2 Cazacu et al. (2006) isotropic yield criterion -- 2.7.3 Influence of tension-compression asymmetry in yielding on the onset of plastic deformation for a hollow sphere subject to i ... -- References -- 3 -- Yield criteria for anisotropic materials -- 3.1 Material symmetries and invariance requirements -- 3.1.1 Material symmetries
Group property of the symmetry transformations -- Crystal symmetries -- 3.1.2 Invariance requirements for yield functions -- 3.2 Generalized invariants approach -- 3.2.1 Orthotropic invariants -- 3.2.1.1 Expression of J2 orthotropic -- 3.2.1.2 J3 orthotropic -- 3.2.2 Transversely isotropic invariants -- 3.2.2.1 J2 transversely isotropic -- 3.2.2.2 J3 transversely isotropic -- 3.2.3 Cubic invariants -- 3.2.3.1 J2 cubic -- 3.2.3.2 Extension of J3 for the tetratoidal and diploidal crystal classes -- 3.2.4 Linear transformation approach -- 3.3 Yield criteria for single crystals
