Mat Final Equations adapted .pdf

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Chapter 5

Usage

Notes

Diffusion Flux
Steady-State Diffusion
Nonsteady-State Diffusion
Constant Surface Composition

Chapter 6

Temperature Dependence of diffusion
coefficient
Usage
Engineering Stress
Engineering Strain
Shear Stress
Hooke's Law - Stress and strain Relation
Shear Modulus - Shear stress & Strain
Poisson's Ratio
Ductility, Percent Elongation
Ductility, Percent Reduction in Area
Modulus of Resilience
Modulus of Resilience
True Stress
True Strain
No volume change during deformation
This relations are valid until necking
True stress/strain (plastic to necking)
Safe (working) stress

Notes

Chapter 7

Usage

Notes

Burger's Vector
Burger's Vector
Burger's Vector
Resolved Shear Stress
Max Resolved Shear Stress (45°)
Critical Resolved Shear Stress
Minimum Stress for Yielding (45°)
Dependence of Yield Strength on Grain
Size
Percent Cold Work
Chapter 8

Usage
Maximum stress at tip of Elliptical crack
Stress Concentration Factor K_t
Critical Stress - (Brittle) crack
propagation
Fracture Toughness
Plane-Strain Fracture Toughness
Design (or Critical) Stress
Maximum allowable flaw size
Mean Stress (fatigue tests)
Range of Stress (fatigue tests)
Stress Amplitude (fatigue tests)
Stress Ratio (fatigue tests)
Steady-State Creep Rate (T Const)
Steady-State Creep Rate
Larson-Miller parameter

Notes

Chapter 9

Usage

Notes

Mass fraction L-ph, binary isomorphous system
Mass fraction α solid-sol, binary isomorphous
systm

Volume fraction of α phase
α phase, conversion of mass to volume
fraction
α phase, conversion of volume to mass
fraction
Mass fraction of eutectic for binary eutectic
system
Mass fraction of primary α for binary eutectic
system
Mass fraction (total α phase) for binary eutectic
Mass fraction of β phase for binary eutectic
system

Gibbs phase rule
hypoeutectoid Fe-C alloy: Mass fraction of
pearlite
Mass fraction of pro-eutectoid α ferrite phase
hypereutectoid Fe-C alloy: Mass fraction of
pearlite

Mass fraction of proeutectoid Fe_3C
Chapter 10

Usage
homogenous nucleation: Critical Radius for SSP

Activation free energy for formation of
Stable Solid Particle
Critical Radius - latent heat of fusion & melting T
Activation free E - latent heat of fusion & melting
T
Heterogeneous nucleation: Relation for
interfacial E

Critical Radius for SSP
Activation free energy for formation of SSP
Particle Growth Rate
Fraction of Transformation - Avrami

Transformation Rate

Notes

Chapter 11

Usage

Notes


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