## MECHANICAL METALLURGY |

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Page 44

For a three-dimensional stress system there will be three

containing one partial derivative of the normal stress and two partial derivatives

of the shear stresses.

the ...

For a three-dimensional stress system there will be three

**equations**,1 eachcontaining one partial derivative of the normal stress and two partial derivatives

of the shear stresses.

**Equations**(2-37) must be satisfied at all points throughoutthe ...

Page 205

This

dependence of the yield strength. ffo = a. + K,,D-'* (7-24) This similarity is to be

expected in view of the fact that yielding and brittle fracture are closely related. In

both ...

This

**equation**is very similar to the**equation**expressing the grain-sizedependence of the yield strength. ffo = a. + K,,D-'* (7-24) This similarity is to be

expected in view of the fact that yielding and brittle fracture are closely related. In

both ...

Page 506

This

considering that dx = R dd, f = tan p., and assuming that cos 6 = 1 for small

angles.

This

**equation**was first derived by Von Karman1 and is usually named for him.**Equation**(19-14) can also be converted into the form given by Underwood-' byconsidering that dx = R dd, f = tan p., and assuming that cos 6 = 1 for small

angles.

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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