## Mechanical metallurgy |

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Page 248

dAU d I ircV dc dc 0 = — 4cYj- lirco2 4ys-—=— = 0 (2Ey, a = 1/2 (7-15) \ irc

as a function of the size of the microcrack. Note that this

the ...

dAU d I ircV dc dc 0 = — 4cYj- lirco2 4ys-—=— = 0 (2Ey, a = 1/2 (7-15) \ irc

**Equation**(7-15) gives the stress required to propagate a crack in a brittle materialas a function of the size of the microcrack. Note that this

**equation**indicates thatthe ...

Page 260

This

to dislocation movement k' = a parameter related to the release of dislocations

from a pile-up y, = the effective surface energy and includes the energy of plastic

...

This

**equation**is (t,/)1'2 + *')*' = Gy,fi (7-27) where t, = the resistance of the latticeto dislocation movement k' = a parameter related to the release of dislocations

from a pile-up y, = the effective surface energy and includes the energy of plastic

...

Page 306

8-9 CONSTITUTIVE

between stress and strain in terms of the variables of strain rate and temperature.

The simple power-law relationship (Eq. 8-21) and its variants are elementary ...

8-9 CONSTITUTIVE

**EQUATIONS**Constitutive**equations**describe the relationsbetween stress and strain in terms of the variables of strain rate and temperature.

The simple power-law relationship (Eq. 8-21) and its variants are elementary ...

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### Contents

Stress and Strain Relationships for Elastic Behavior | 18 |

from Elastic Strains 213 Strain Energy 214 Anisotropy | 46 |

Metallurgical Fundamentals | 101 |

Copyright | |

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### Common terms and phrases

alloy angle annealed ASTM atoms axes axis behavior billet brittle fracture Burgers vector cold-worked components compression constant crack creep cycles decrease determined diameter direction dislocation line ductile edge dislocation elastic elongation embrittlement energy engineering equation extrusion factor failure fatigue limit fibers Figure flow curve flow stress force forging friction given grain boundaries hot-working hydrostatic increase indentation lattice length load machining martensite material matrix maximum measured mechanical metallurgical Metals Park modulus necking notch occurs particles percent plane strain plane-strain plastic deformation plastic strain pressure produce properties ratio recrystallization reduction region residual stresses rolling screw dislocation shear stress sheet shown in Fig slip plane slip systems Society for Metals specimen steel strain hardening strain rate stress-strain curve structure surface temperature tensile strength tensile stress tension test tensor thickness tool torsion Trans usually velocity workpiece yield strength yield stress