## Mechanical metallurgy |

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Page 59

in a uniaxial tension test. From Eq. (2-15), the

Tinax ' 2 (3- 7) where a\ is the algebraically largest and <r3 is the algebraically ...

**maximum**shear stress reaches a critical value equal to the shearing yield stressin a uniaxial tension test. From Eq. (2-15), the

**maximum**shear stress is given byTinax ' 2 (3- 7) where a\ is the algebraically largest and <r3 is the algebraically ...

Page 74

If this value is substituted into the expression for the Von Mises criterion of

yielding, the yield criterion for plane strain becomes 2 "\ — a-i = — ^=a0 = 1.15oo

(3-60) The

<r3 ...

If this value is substituted into the expression for the Von Mises criterion of

yielding, the yield criterion for plane strain becomes 2 "\ — a-i = — ^=a0 = 1.15oo

(3-60) The

**maximum**-shear-stress criterion of yielding can be expressed by oi —<r3 ...

Page 245

Frequently, the true stress- strain curve is linear from the

fracture, while in other cases its slope continuously decreases up to fracture.

Little significance should be attached to this linear region of the flow curve. When

necking ...

Frequently, the true stress- strain curve is linear from the

**maximum**load tofracture, while in other cases its slope continuously decreases up to fracture.

Little significance should be attached to this linear region of the flow curve. When

necking ...

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### Contents

Introduction | 3 |

Stress and Strain Relationships for Elastic Behavior | 17 |

Elements of the Theory of Plasticity | 54 |

Copyright | |

21 other sections not shown

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### Common terms and phrases

alloys angle annealing ASTM axis behavior bending billet brittle fracture Burgers vector cent compressive constant crack creep rate cycles decrease determined diameter direction dislocation line distribution drawing ductile edge dislocation effect elastic 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 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 tension theory thickness tion torsion Trans transition temperature tube usually yield strength yield stress