By D R H Jones, Michael F. Ashby
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Extra resources for Engineering Materials 1, 2nd Edition
The best of all methods of measuring E is to measure the velocity of sound in the material. The velocity of longitudinal waves, vl,depends on Young’s modulus and the density, p: = (5)”. 12) vlis measured by ’striking’ one end of a bar of the material (by glueing a piezo-electric crystal there and applying a charge-difference to the crystal surfaces) and measuring the time sound takes to reach the other end (by attaching a second piezo-electric crystal there). Most moduli are measured by one of these last two methods.
I 1 I I I v-AV I I Fig. 3. Definitions of tensile strain, e,, shear strain, y and dilation, A. Haoke’s Law We can now define the elastic moduli. They are defined through Hooke’s Law, which is merely a description of the experimental observation that, when strains are small, the strain is very nearly proportional to the stress; that is, they are linear-elastic. 6) where E is called Young’s modulus. The same relationship also holds for stresses and strains in simple compression, of course. 7) where G is the shear modulus.
At 91loC, a process which is important in the heat-treatment of steels. '. And we have not even begun to describe the features of the more complicated crystal structures like those of ceramics such as alumina. c. h. or to ease the conceptual labour of constructing complicated crystal structures, we need an appropriate descriptive language. The methods of crystuZZogruphy provide this language, and give us also an essential shorthand way of describing crystal structures. c. c. can be placed at the corners of a cube and in the centres of the 48 Engineering Materials 1 i / fa I Arrangement of atoms on “cube”faces Arrangement of atoms on “cube-diagonal”planes Fig.