Y1: Materials Flashcards

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1
Q

What is density

A

The mass per unit volume of a substance (kg m^-3)

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2
Q

What is the equation for density

A

ⲣ = m/v

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3
Q

What is Hooke’s Law

A

The extension of a stretched wire is proportional to the load force

F=kΔL

k: Spring constant (Nm^-1)

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4
Q

What is the total spring constant for springs in series

A

1/kT = 1/k1 + 1/k2 + 1/k3

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5
Q

What is the total spring constant for springs in parallel

A

kT = k1 + k2 + k3

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6
Q

What is the limit of proportionality

A

The point beyond which Hooke’s law no longer applies ( < Elastic limit)

Different for each spring

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7
Q

What is the elastic limit

A

The point beyond which plastic deformation occurs ( > Limit of proportionality)

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8
Q

What is an elastic stretch

A

When the material returns to its original length when the force is removed

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9
Q

What is shown by the area between the loading and unloading curve on a force-extension curve

A

The energy dissipated during the loading (eg. heat)

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10
Q

What is the equation for elastic strain energy

A

Ep = 1/2 (kΔL^2)

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11
Q

What is a plastic stretch

A

When the material is permanently stretched after the force is removed

  • Atoms have moved relative to each other so don’t return to their original position
  • Stretched past the elastic limit
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12
Q

What is tensile stress

A

The force per unit of surface area (Nm^-2)

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13
Q

What is the equation for tensile stress

A

σ = Force / Surface area

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14
Q

What is the breaking stress of a material

A

The force per unit of surface area great enough to break the material as the atoms are completely separated

Occurs after the breaking stress, as the material breaks after being deformed

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15
Q

What is the ultimate tensile stress of a material

A

The maximum stress a material can withstand

Occurs before the breaking stress, as the material will start to deform

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16
Q

What is strain

A

The extension per unit of length (dimensionless)

17
Q

What is the equation for strain

A

ε = Extension / original length

18
Q

What is the young modulus of a material

A

A measure of how stiff a material is

19
Q

What is the equation for the young modulus

A

E = Stress / Strain = (F/A) / (ΔL/L)

∴ E = FL / AΔL

20
Q

What is shown by the area under the proportional section of a stress-strain graph

A

The strain energy per unit volume

21
Q

What is shown by the gradient of a stress-strain graph

A

The young modulus

22
Q

What is the yield point on a stress-strain graph

A

Point at which a large amount of plastic deformation occurs with less load, as the material suddenly starts to stretch without increasing the load.

23
Q

What is a brittle material

A

A material that fails under load by cracking, with little/no plastic deformation.

Occurs as the atoms are arranged in a rigid structure

24
Q

What is a ductile material

A

A material that can be drawn into wires, as necking occurs when stretched

25
Q

What is the strength of a material

A

The maximum stress a material can withstand before cracking