lecture 16 powerpoint
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Transcript lecture 16 powerpoint
Mechanical Properties: Review
nominal (engineering)
F
A0
stress
FA
0
strain
l l0
l0
true
FA
i
l
l
dl
dl
d
total ln
l
l
l0
l
0
elastic – stretch chemical bonds
(stress)
l0
y
plastic – rearrange chemical bonds
Y
(strain)
Shear stress from uniaxial tension
normal stress
F
A
FA
force is normal to the plane
consider what happens on some other plane, A’
need to know area of A′
A′ = A/cos(f)
f q
n̂
A′
F′
consider shear force parallel to A′
need to know magnitude of F′
F′ = Fcos(q)
F′ can be along any direction parallel to A′
(each corresponds to a different q)
Final result: tmax = /2, in the orientation f = q = p/4
Solute Hardening
Precipitate Hardening
coherent
incoherent