Plasticity of metallic materials : modeling and applications to forming /

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Bibliographic Details
Main Author: Cazacu, Oana
Other Authors: Revil-Baudard, Benoit
Format: Electronic eBook
Language:English
Published: Amsterdam : Elsevier, 2021.
Series:Elsevier Series on Plasticity of Materials.
Subjects:
Online Access:CONNECT

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505 0 |a 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 
505 8 |a 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 
505 8 |a 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 
505 8 |a 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 
505 8 |a 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 
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