## Mechanical MetallurgyThis revised third edition of a bestselling metallurgy text examines the behavior of materials under stress and their reaction to a variety of hostile environments. It covers the entire scope of mechanical metallurgy, from an understanding of the continuum description of stress and strain, through crystalline and defect mechanisms of flow and fracture, and on to a consideration of major mechanical property tests and the basic metalworking process. It has been updated throughout, SI units have been added, and end-of-chapter study questions are included. |

### From inside the book

Results 1-3 of 93

Page 79

002] (319) Another physical interpretation given to the von Mises' yield criterion is

that it represents the critical value of the octahedral

This is the

002] (319) Another physical interpretation given to the von Mises' yield criterion is

that it represents the critical value of the octahedral

**shear stress**(see Sec. 3-9).This is the

**shear stress**on the octahedral planes which make equal angles with ...Page 124

Figure 4-18 Diagram for calculating critical resolved

RESOLVED

depends on the magnitude of the

...

Figure 4-18 Diagram for calculating critical resolved

**shear stress**. 4-7 CRITICALRESOLVED

**SHEAR STRESS**FOR SLIP The extent of slip in a single crystaldepends on the magnitude of the

**shearing stress**produced by external loads, the...

Page 125

direction is Pcos A. Therefore, the critical resolved

A P = — cos p cos A (4-13) A / cos 4: A Equation (4-13) gives the

resolved on the slip plane in the slip direction. This

when ...

direction is Pcos A. Therefore, the critical resolved

**shear stress**is given by PcosA P = — cos p cos A (4-13) A / cos 4: A Equation (4-13) gives the

**shear stress**resolved on the slip plane in the slip direction. This

**shear stress**is a maximumwhen ...

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### Contents

Stress and Strain Relationships for Elastic Behavior | 17 |

of Stress in Two Dimensions Plane Stress 24 Mohrs Circle | 35 |

from Elastic Strains 213 Strain Energy 214 Anisotropy | 62 |

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### Common terms and phrases

alloy angle annealed ASTM atoms axis behavior billet brittle fracture Burgers vector cold-worked components compression constant crack creep cycles decrease deﬁned determined diameter direction dislocation line ductile edge dislocation elastic elongation embrittlement energy engineering equation extrusion factor failure fatigue limit ﬁbers ﬁeld Figure ﬁne ﬁnish ﬁrst ﬂat ﬂow curve ﬂow stress force forging friction given grain boundaries hot-working hydrostatic increase inﬂuence lattice length load machining martensite material matrix maximum measured mechanical metallurgical Metals Park modulus necking normal 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 speciﬁc specimen steel strain hardening strain rate stress-strain curve structure surface temperature tensile stress tensor thickness tool torsion Trans usually velocity workpiece yield strength yield stress