General Flashcards
4 Quantum Numbers
n (principal), l (subshell), m_l (spin moment), m_s (magnetic moment)
Pauli Exclusion Principle
Each electron state can hold no more than 2 electrons that must have opposite spin
How does bonding energy impact melting temperature and thermal expansion?
Higher bond energy means higher melting temperature and lower thermal expansion
In F vs. r curve, what does a steeper slope mean for mechanical properties?
Stiffer material
What are the three primary bonds?
Ionic, Covalent, Metallic
What are the Hume-Rothery Rules
1.) similar atomic size (size must differ by <15%)
2.) equal crystal structure in element pure state
3.) similar electronegativity
4.) better solubility with increasing atomic number
Tells us if mixed elements will form solid solution or separate phases
Fick’s first law
The diffusion flux is proportional to the concentration gradient. This relationship is used for steady-state diffusion situations.
J=-D(dC/dx)
Fick’s second law
The time rate of change of concentration is proportional to the second derivative of concentration. This relationship is used in nonsteady-state diffusion situations.
dC/dt = D(d2C/dx2)
Diffusivity, D equation
D = D_0 exp(-Q/RT)
Rate of diffusion influenced by diffusing species and tempreature. Q is activation energy for diffusion
Young’s Modulus
Stiffness of material, resistance to elastic deformation. 45GPa to 407 GPa for most metals and ceramics, lower for polymers
Measure of interatomic bonding forces
How does temperature affect Young’s Modulus?
Increase of temperature decreases Young’s Modulus
Poisson’s Ratio
For elastic deformation, the negative ratio of lateral and axial strains that result from an applied axial stress.
between .25-.5 usually, if isotropic (applies to polycrystalline materials)
Yield Strength
Stress level when plastic deformation occurs. Calculate with 0.002 offset intersection
Tensile Strength
Maximum stress on stress-strain curve. Corresponds to when sample starts necking
Ductility
% Elongation or % Reduction in Area sustained at fracture
How does temperature impact ductility?
decreasing temperature increases brittleness and decreases ductility
Resilience
Capacity to absorb energy when deformed elastically and have that energy recovered, area under elastic region
Toughness
Materials resistance to fracture when cracks are present, ability to plastically deform and absorb energy before fracturing. Area under entire curve
True Stress / Strain
Takes into account that the area after necking is smaller despite material actually getting stronger
How can we strengthen materials (3 ways)?
Decrease mobility of dislocations, but at the expensive of ductility and toughness
- Grain size reduction
- Solid-solution strengthening
- Strain hardening / work hardening / coldworking
What are the three stages of annealing treatment?
- Recovery - stored internal energy relieved by annihilation of dislocations (diffusion controlled)
- Recrystallization - growth of strain-free grains w/ low dislocation density
- Grain Growth - increased grain size leads to reduced boundary area and reduced total energy
What is Fracture
Crack formation and propagation to stress
Ductile Fracture
Plastic deformation with high energy absorbance before fracture - stable, preferred
Brittle Fracture
No deformation, rapid crack propagation perpendicular to applied tensile stress
Transgranular Fracture
Fracture crack passes through grains
Intergranular Fracture
Fracture crack passes along grains