Mechanical 2 Flashcards
Strength of paper
about 60MPa
suffixes like mega, milli, pico, etc
learn off
why easier to rip paper with crack
stress is concentrated at tip of crack, material fails there, allowing crack to grow
relationship between fracture stress and crack length
σf ∝ 1/√a
fracture toughness in tough vs brittle materials
- tough: value of constant high, good at tolerating cracks
- brittle: low, even small cracks weaken them
Fracture Toughness equation
Kc = Qσf√(πa)
Q = a constant σf = fracture stress a = crack length
Values of Q
taking a crack in a flat sheet,
if
a < W and a < H, then Q = 1.0
other values shown on graph on lecture slides 4
Total length of crack in a flat sheet
Length of crack = 2a
Brittle fracture
a material containing a crack will break at a stress σf
Ductile fracture
Failure by yielding
Sizes of cracks
- Those having large cracks will fail by brittle fracture
- Those with small cracks (a < a*) will fail by ductile fracture
Cracks and strength of material
cracks only affect strength if they are larger than a* (see diagram on lecture slides 4)
smaller cracks are harmless
Unit of fracture toughness
MPa√m
what a* means
Materials can have cracks up to this length without any loss of strength
Static properties of a material
Stiffness
Strength
Toughness
Long-Term Failure
Creep
Fatigue
Wear
Creep
Plastic strain which takes time
- Sometimes if you apply stress and hold it constant, strain will gradually increase over time
- can happen for stresses above and below σy
stages of creep test
primary, secondary, tertiart
Time to failure formula
t(subscript f) = C/σᵐ
what time to failure depends on
stress
temperature
Fatigue
A stress which was not sufficient to cause failure when applied once, can, if repeated enough times, eventually cause failure
Cyclic Loading
- tests carried out with given stress range △σ and mean stress σₛₜᵣₑₛₛ
- number of cycles to failure, N(subscript f) counted for each specimen tested
Stress-Life curve
-straight line except at high cycles, where line may become horizontal at “fatigue limit”
Wear
-Happens when two surfaces rub together
- you need a compressive force F and a shear movement d
- material removed from one or both surfaces
Wear testing
-Volume of material lost △V found by measuring/weighing test piece
Wear formula
△V = kFd
k = constant, tells you how easily material will wear away d = shear movement F = compressive force
four classes of materials
Metals
Polymers
Ceramics
Composites
Alloys
made by combining elements