Materials Flashcards

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1
Q

What is density?

A

A measure of how compact a substance is.

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2
Q

What is the equation for density?

A

ρ = m / v

ρ = density, Pa or Nm-2
m = mass, kg
v = volume, m3

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3
Q

1gcm-3 = ?kgm-3

A

1000

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4
Q

Do elastic objects object Hooke’s law all the time?

A

No, if they extend too much Hooke’s law stops being true.

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5
Q

What is the limit of proportionality?

A

Last point where Hooke’s law applies.

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6
Q

What happens beyond the elastic limit?

A

The material won’t return to its original length once force equals zero.

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7
Q

What is the deformation after the elastic limit?

A

Plastic.

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8
Q

What is the deformation before the elastic limit?

A

Elastic.

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9
Q

What is the equation for elastic potential energy?

A

U = 1/2 k ΔL^2

U = EPE, J
k = spring constant, Nm-1
ΔL = extension, m

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10
Q

What is the area under a force-extension graph equal to?

A

Elastic potential energy stored.

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11
Q

Define pressure.

A

The force applied per unit area.

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12
Q

What is the equation for pressure?

A

F = A P

F = Force, N
A = Area, m2
P = Pressure, Nm-2 or Pa

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13
Q

Define stress.

A

The force per unit area.

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14
Q

What is the equation for stress?

A

Stress = F/A

Stress, Nm-2 or Pa
F = Force, N
A = Area, m2

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15
Q

Define strain.

A

The extension per unit length.

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16
Q

What is the equation for strain?

A

Strain = ΔL / L

ΔL = extension, m
L = original length, m

17
Q

What are the units for strain?

A

No units.

18
Q

What is the equation for Young’s Modulus?

A

E = stress/strain

E = Young’s Modulus, Nm-2 or Pa

19
Q

If E is small what does this mean?

A

The material stretches easily.

20
Q

If E is big what does this mean?

A

The material is difficult to stretch.

21
Q

When does Young’s Modulus change?

A

When a material is heated.
When a material stretches beyond its elastic limit.

22
Q

What is the equation for Young’s Modulus where stress and strain are broken up into their respective equations?

A

E = F L / A ΔL

23
Q

What is the equation linking the spring constant and Young’s Modulus?

A

k = E A / L

24
Q

Is k constant for a material?

A

No, it depends on thickness and length of the material.

25
Q

On a stress-strain graph what is the gradient?

A

E

26
Q

What is the area under a stress-strain graph?

A

Energy per unit volume.

27
Q

Define breaking stress

A

Stress that breaks the material.

28
Q

Define ultimate tensile stress.b

A

The maximum stress a material can take and recover from.

29
Q

Define yield point. Where is it on a graph?

A

Where material continues to extend with significant plastic deformation even if the load is nearly constant.
The point before it dips, before the breaking point.

30
Q

Do brittle materials deform plastically?

A

No, they just break.