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QUESTION

A sample of an ideal crosslinked rubber has a number average molecular weight between crosslinks of 5000 and a density of 900kg/m 3 .

A sample of an ideal crosslinked rubber has a number average molecular weight between crosslinks of 5000 and a density of 900kg/m3. A block of this rubber, a cube of sides 100mm, is tested at a temperature of 300K.

a). What is its tensile modulus?

b). What is its shear modulus?

Axes X, Y, and Z are chosen parallel to the edges of the cube. A compressive force FX is applied in the X-direction, to reduce the X-dimension from 100mm to 50mm.

c). Calculate FX­

A further compressive force is applied in the Y-direction to reduce the Y-dimension to 75mm, the X-direction remaining at 50mm.

d). What now are the magnitude of FX and FY?

e). What has the Z-direction now become?

f). How much strain energy is now stored in the block?

Assume the rubber obeys Gaussian statiostics and make all other necessary (or usual) assumptions to solve this problem.

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