## Mechanical metallurgy |

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Page 248

1 (H3, •nc

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

indicates that the fracture stress is inversely proportional to the square root of the

...

1 (H3, •nc

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

**equation**indicates that the fracture stress is inversely proportional to the square root of the

...

Page 260

This

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

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

...

This

**equation**is (t.D1/2 + k')k' = GysP (7-27) where ii = the resistance of the latticeto dislocation movement k' = a parameter related to the release of dislocations

from a pile-up ys = 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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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 metallurgy 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