materials Flashcards
density
mass per unit volume
hookes law
force is proportional to extension until the elastic limit (limit of proportionality
elastic
extension returns to zero when load is removed
atoms can move small distances relative to their equilibrium positions
all energy stored as elastic strain energy
elastic limit
maximum force a spring can withstand while returning to its original shape (without deformation)
gradient of force against extension graphs
spring constant
tensile forces
stretch an object
+ve stress
+ve strain
compressive
compress an object
-ve stress
-ve strain
stiffer springs
higher spring constant
stress
F/A
Pa Nm-2
causes strain
strain
ΔL/L
no units (ratio)
energy
area under graph
volume of sphere
4/3 π r3
volume of cylinder
πr2h
hysteresis
energy absorbed = energy between two routes
energy absorbed deforming molecules
elastic strands
elastomer
some parts remain deformed
rubber
plastic behaviour
permanent deformation under stress
occurs after elastic limit
work done to separate atoms, energy mostly dissipated as heat
brittle behaviour
breaks suddenly and fractures
very little plastic behaviour
energy in spring systems
conservation of energy
total energy at all point in oscillation is the same
elastic potential/strain energy
E=0.5Fx
sub in F= kx
using hookes law E= 0.5 kx2
crumple zones
permanently deformed
redirect energy away from passengers
parallel springs
suspension systems absorb more energy
higher spring constant
youngs modulus
stress-strain ratio
series springs
both extend same amount
lower overall spring constant ─
stress to strain stiff materials
small strain to large stress
gradient of stress-strain graph
young’s modulus
determining young’s modulus experiment
calculate diameter of wire using micrometer
3 different places, mean
gives cross sectional area
clamp, pulley, mass hanger, meter ruler, tape, masses
measure initial length of wire/ distance between fixed end of wire and tape marker
increase weight in 50g intervals up to 700g recording extension
plot graph
long,thin wire reduces uncertainty by extending more for a given force
yield point
material stretches without extra load. large amount of plastic deformation with constant/reduced load
brittle
strong
little stress for high strain
fractures suddenly with little to no plastic deformation
strong
not ductile e.g. stretch very little and break suddenly
high breaking stress
ductile
necking occurs after elastic limit
stiff
requires large force to produce small deformation
tough
absorbs energy by deforming plastically, the tougher the material, the more plastic deformation
malleable
will undergo significant plastic deformation under small stress
endurance
ability to withstand repeated stress cycling
strength
maximum stress before failing
resilience/ elasticity
ability to spring back into shape
breaking stress
stress large enough to break a material