3.4 Materials Flashcards
Define elasticity
The property of a body to resume its original shape or size once the deforming force or stress has been removed
Define plastic deformation
Material does not return to original length when force is removed
Why don’t plastic materials return to their shapes?
Has exceeded its elastic limit
What is A on a force-extension graph?
Limit of proportionality
What is B on a force-extension graph?
Elastic limit
What is C on a force-extension graph?
Plastic behaviour
What is D on a force-extension graph?
Fracture
What is elastic limit?
Beyond this point it will not show elastic behaviour but plastic
What is the limit of proportionality?
The point at which extension is no longer directly proportional to the force
Material behave elastically still
Stops obeying Hookes law
What is fracture?
When the material breaks
Before this happens the material undergoes creep
What type of graph is used to show the difference between plastic and elastic behaviour?
Force against extension
What is Hookes law?
States that extension of an object is proportional to the force that caused it, provided the elastic limit is not exceeded
What is the equation for Hooke’s law?
F=kx
What is the unit of the force constant?
Nm-1
When do you stop using the force constant?
When deformation becomes plastic
Why do we unconventionally plot force on the y axis and extension on the x axis?
Because then the gradient of the line is equal to the force constant
What does the work required to stretch a wire depend on?
Stretching force and extension
How do you find work done from a graph?
Area underneath
Define stress
Force per unit cross sectional area.
Nm-2 or Pa
Define strain
Extension per unit length
No units and is dimensionless
What is young modulus?
Stress/strain
Or Fl/eA
What type of young modulus do stuff materials have?
Large
What are the two ways to calculate you gs modulus?
Gradient of stress/strain graph
Calculate value directly from equation
What is ductile?
Can be drawn into wires and will show plastic deformation under tensile stress before breaking