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Finite Plastic Deformation of Crystalline Solids.pdf

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1 An Historical Introduction 1
2 The Kinematics of Double Slip 18
General solutions for material line and plane 18
Deformation gradient and axis rotation 23
Cones of unstretched material lines 25
3 A General Theory of Elastoplastic Crystals 34
Fundamental kinematics of crystal and lattice 35
Basic stress and strain analysis 38
General relationships for arbitrary measures 41
Lattice elasticity and existence of plastic
potentials 45
Critical strengths and hardening laws:
Normality 49
Pressure dependence of Cauchy
flow stress 53
Constitutive inequalities: Uniqueness 55
Saddle potential functions and boundary value
problems 60
4 Axial-Load Experiments and Latent Hardening in
Single Crystals 67
Axial loading of . crystals 67
Slip systems in . crystals 76
Axial loading of . crystals 84
Latent-hardening the