## MECHANICAL METALLURGY |

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Page 54

Introduction The

region of strain beyond which Hooke's law is no longer valid. The mathematical

description of the plastic deformation of metals is not nearly so well developed as

the ...

Introduction The

**theory**of plasticity deals with the behavior of materials in theregion of strain beyond which Hooke's law is no longer valid. The mathematical

description of the plastic deformation of metals is not nearly so well developed as

the ...

Page 63

From Eq. (2-7), the principal stresses are t 2- <T2 = 0 (3-22) Therefore, the

maximum-shear-stress criterion of yielding is given by and the distortion-energy

shows ...

From Eq. (2-7), the principal stresses are t 2- <T2 = 0 (3-22) Therefore, the

maximum-shear-stress criterion of yielding is given by and the distortion-energy

**theory**of yielding is expressed by Both equations define an ellipse. Figure 3-4shows ...

Page 65

Octahedral Shear Stress and Shear Strain The octahedral stresses are a

particular set of stress functions which are important in the

They are the stresses acting on the faces of a three-dimensional octahedron

which has the ...

Octahedral Shear Stress and Shear Strain The octahedral stresses are a

particular set of stress functions which are important in the

**theory**of plasticity.They are the stresses acting on the faces of a three-dimensional octahedron

which has the ...

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### Contents

Stress and Strain Relationships for Elastic Behavior | 17 |

Elements of the Theory of Plasticity | 54 |

Plastic Deformation of Single Crystals | 81 |

Copyright | |

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### Common terms and phrases

alloys aluminum angle annealing ASTM axis behavior bending billet brittle fracture Burgers vector cent compressive constant crack creep rate decrease determined diameter direction dislocation line distribution drawing ductile edge dislocation effect elastic elongation equation extrusion factor failure fatigue limit flow curve flow stress force forging forming friction given grain boundaries hardness high-temperature increase indentation lattice length load longitudinal mandrel martensite material maximum measured mechanical metallurgical Metals Park method modulus notch obtained occurs orientation particles plastic deformation pressure principal stresses Proc produced properties punch quenched radius ratio recrystallization region relationship residual stresses rolling screw dislocations shear stress sheet shown in Fig shows single crystals slip plane Society for Metals specimen steel strain energy strain hardening strain rate stress-strain curve structure surface temper tensile strength tensile stress theory thickness tion torsion Trans transition temperature tube usually yield point yield strength yield stress