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Definition
σ = load/Ao [N/m2]
Ao = initial x-sectional area |
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ε = (l - lo)/lo
lo = initial length
l = length under stress |
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basic stress-strain graph for a ductile metal |
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For tensile stress, σ and ε are ______. |
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For compressive stress, σ and ε are ______. |
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angular stress and strain |
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deformation regions graph |
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Definition
non-permanent follows Hooke's Law |
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Hooke's Law for elastic deformation |
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Definition
σ = Eε
E = Young's modulus
AKA "elastic modulus"
AKA "modulus of elasticity"
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How do bond strength and stiffness vary with Young's modulus? |
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Definition
as E ↑, stiffness ↑, bond strength ↑ |
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Definition
given as the area under the stress strain curve |
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sample stress-strain curves for material types |
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Definition
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elastic energy density equation |
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Definition
elastic energy = ½σE = ½Eε2 |
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longitudinal and transverse strain and Poisson's ratio |
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Definition
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shear stress and strain equations |
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Definition
τ = Gγ
E = 2G(1 + ν)
where G = shear modulus
AKA modulus of rigidity
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Term
deformation graph yield point (onset of plastic deformation) Tensile strength (maximum of stress-strain curve) |
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Definition
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Term
Why is the regular stress-strain curve of a material misleading? |
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Definition
Because of necking (area decrease), engineering stress is artificially low. The "true stress" will show a higher engineering stress. Necking starts after the yield point. |
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What is the role of dislocations in ductility? |
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Definition
Dislocations can increase ductility by facilitating slip. |
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Term
Where does slip most readily occur and why? |
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Definition
Slip occurs most readily in high density planes along a high density direction, because denser planes have atoms closer together and denser directions make for shorter slip distances. |
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Term
What is the relative susceptibility to slip of FCC, BCC, and HCP crystal structures? |
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Definition
FCC - most ductile (12 slip systems) BCC - appreciably ductile (12 slip systems) HCP - least ductile (3 slip systems) |
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Term
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Definition
# slip systems = (# slip planes)*(# slip directions) |
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Term
Why does slip not generally occur in ceramics? |
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Definition
-Burger's vector (slip distance) is larger because it involves more than one atom -sliding planes means bringing like charges near each other |
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define the phenomenon of viscoelasticity |
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Definition
glasses and polymers may behave elastically at low T and flow at high T |
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Elastomers can exhibit increasing engineering strain with stress. Why? |
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Definition
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stress-strain curve from bend test |
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Definition
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Why is σmax greater for compressive stress than for tensile stress? |
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Definition
σmax ↑ as r ↓
Because the compressive stress squishes the crack and makers r effectively smaller, σmax can be higher.
It's the opposite for tensile stress.
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Term
how does hardness relate to tensile strength and yield strength? |
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Definition
as hardness ↑, T.S. ↑, σy ↑, ductility ↓ |
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Term
interpreting hardness and ductility from stress-strain graph |
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Definition
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Term
list the methods of hardening |
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Definition
solution hardening strain hardening cold-working precipitation hardening grain size size reduction |
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Definition
put a solute atom in the metal this impedes dislocation movement |
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Definition
create dislocations by bending material there get to be too many, and they impede each other's movement |
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Definition
squish a material, when cold, through rollers this creates more dislocations |
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Definition
smaller grain size means more grain boundaries, which impede dislocation movement |
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Definition
annealing (heat & grains recrystallize) reverses strain-hardening
upon annealing, tensile strength ↓, ductility ↑ |
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Definition
permanent deformation occurring at high temperature for a material under constant load over a long time |
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Why are creep mechanisms diffusion dependent? |
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Definition
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apply constant load to material and measure long-term deformation |
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Definition
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Definition
......................
εs = Kσne(Q / RT) |
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fracture morphology of ductile metal |
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Definition
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fracture morphology of brittle metal |
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Definition
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fracture morphology of ceramic |
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Definition
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Definition
measure of a material's ability to withstand stress or strain |
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Definition
measure of a material's ability to withstand indentation, distortion, and scratching |
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Definition
measure of a material's ability to deform under tensile stress |
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Definition
measure of material's resistance to fracture when stressed |
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Term
On a stress-strain curve, the first part is _____ deformation, which is ______ when the load is removed. |
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Definition
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On a stress-strain curve, the second part is _____ deformation, which is ______ when the load is removed. |
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Definition
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Term
During elastic deformation, a tensile or compressive strain parallel to the direction of an applied load will induce a strain perpendicular to the load having opposite sign and a magnitude determined by the _____. |
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Definition
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Term
Why are ceramic materials harder yet more brittle than metals? |
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Definition
Ceramics are hard yet brittle because they have strong bonds between atoms with strong ionic/covalent character. Burger's vector is larger because dislocation involves more than one atom sliding planes means bringing like charges close |
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Term
Why is Ni more ductile than Co when they both have similar bond strength and melting points? |
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Definition
Ni is more ductile because its FCC crystal structure is more ductile than Co's HCP crystal structure |
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Term
Metals can be hardened by alloying with other metals. An example of _____ hardening occurs in a system where the Hume-Rothery rules are obeyed. An example of _____ hardening occurs in a system where they aren't. |
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Definition
obeyed = solution hardening not obeyed = precipitation hardening |
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