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Materials for engineering, 3rd Edition - (Malestrom)

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Problems 227<br />

2. Compare and contrast the properties and uses of organic, inorganic and<br />

metallic glasses.<br />

3. If a strain of 0.4 is applied to an elastomer, an immediate stress (σ o ) of<br />

8 MPa is produced which instantly relaxes as elastic strain is replaced<br />

by viscous strain, so that after a time (t) of 42 days the stress (σ) is only<br />

4 MPa. This behaviour may be described by the expression:<br />

σ = σ o e –t/τ<br />

where τ is the relaxation time of the material.<br />

What is the relaxation time of the above elastomer, and what would the<br />

stress be after 90 days?<br />

[Answers: 60.1 days; 1.7 MPa]<br />

4. Compare and contrast the de<strong>for</strong>mation in a tensile test of a ductile<br />

polymer such as high-density polyethylene with that of a ductile metal.<br />

Discuss the effects of extreme tensile de<strong>for</strong>mation of the properties of<br />

an initially isotropic polymer and discuss whether such effects may be<br />

of practical value.<br />

5. The melt viscosity η of high-molecular weight atactic polystyrene is<br />

given by the following two relationships:<br />

and<br />

η = KH ZW 3.4<br />

log ( / ) = 17.44 ( T – Tg<br />

)<br />

10 ηT ηT<br />

g<br />

51.6 + ( T – T )<br />

where K H is a constant, Z W is the weight-averaged number of backbone<br />

atoms per molecule, T is the temperature, and T g is the glass transition<br />

temperature of 100°C.<br />

An injection moulding unit normally produces polystyrene drinking<br />

cups at 160 °C (where the melt viscosity is 1500 P), using a polymer <strong>for</strong><br />

which Z W = 800. Due to a problem with the supplier it becomes necessary<br />

to use temporarily a polymer <strong>for</strong> which Z W = 950.<br />

At what temperature should this new batch of polymer be moulded?<br />

6. Give an account of the phenomenon of crazing in polystyrene.<br />

7. Give an account of elastomer toughening of polystyrene.<br />

8. Compare the phenomenon of fatigue failure in polymeric materials with<br />

that in metallic materials.<br />

9. Compare the degradation of polymeric materials and of metallic materials<br />

which arises from their interaction with their environment.<br />

Chapter 6<br />

1. Calculate the value of Young’s modulus <strong>for</strong> a cemented carbide cutting<br />

tool consisting of a uni<strong>for</strong>m array of cube-shaped particles of tungsten<br />

g

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