PHYSICS RESOURCES DATABASE
PHYSICAL PROPERTIES
ELASTIC PROPERTIES - MODULI
Stress =
force / area Þ s = F / AShear stress
s s Þ pair of forces act parallel to the area, eg, scissors cutting paperStrain
= change in length / original length Þ e = D L / LoShear strain
Þ angle of distortion Þ e s = g » tang » D L / LoYoung's Modulus
= stress / strain Þ Y = s / eShear Modulus
= shear stress / shear strain Þ S = s s / e sBulk Modulus
= - volumetric stress / volumetric strain Þ B = - (F/A) / (D V/Vo)|
MATERIAL Typical values only |
YOUNG'S MODULUS (GPa) |
SHEAR MODULUS (GPa) |
BULK MODULUS (GPa) |
|
Aluminum |
65 |
30 |
70 |
|
Biological tissue, soft |
0.0002 |
|
|
|
Bone, compact Compression Tension |
10 22 |
3.5 |
12 |
|
Brick |
14 |
|
|
|
Bronze |
120 |
|
|
|
Brass |
105 |
36 |
61 |
|
Cartilage, human |
0.024 |
|
|
|
Collagen |
06 |
|
|
|
Concrete |
27 |
|
|
|
Copper |
120 |
42 |
140 |
|
Diamond |
|
|
620 |
|
Glass |
65 |
20 |
40 |
|
Granite |
70 |
|
|
|
Hair |
10 |
|
|
|
Iron |
190 |
70 |
100 |
|
Marble |
50 |
|
70 |
|
Lead |
16 |
5 |
8 |
|
nickel |
210 |
77 |
26 |
|
Nylon fiber |
5 |
|
|
|
Oak |
14 |
|
|
|
Rubber |
0.007 |
0.001 |
|
|
Polystyrene |
3 |
|
|
|
Sapphire |
420 |
|
|
|
Spider thread |
3 |
|
|
|
Steel |
200 |
80 |
100 |
|
Tungsten |
360 |
150 |
200 |
|
Wood |
15 |