One way of testing the strength of materials is by bombarding them with shock wa
ID: 1826871 • Letter: O
Question
One way of testing the strength of materials is by bombarding them with shock waves and then studying the material deformation Such experiments are used for studying material failures under sudden impact (left panel of the above figure)1 Material used in manufacturing armor plates is also tested in this manner In a shock wave experiment the left edge of a 100 -mm thick plate of steel (see right panel of the above figure) is hit by a shock wave moving with a constant velocity of 1.5 km/s and moving towards the right edge of the plate at tune t = 0. Inside the material (due to difference in density between air and the material) the shock wave actually has a constant velocity. U > 15 km s As the shock wave propagates through the material, it keeps pushing the material (in front of it) Therefore, to the left of the shock wave, the material is moving with an uniform velocity of 15 kins and is subject to a homogenous (uniform) normal strain, epsilon. To the right of the shock wave, the material of the plate is stationary and undeformed (see right panel of the above figure) If the optical instrumentation indicates that the shock wave arrives at the right side of the plate at tune t = 16 times 10 -6 (s). what is epsilon? Suppose that the tune at which the shock wave arrives at the right side of the plate is unknown, but an embedded strain gauge indicates that the homogenous extensional strain to the left of the shock wave is epsilon = -0.3. What is the velocity U of the shock wave inside the plate?Explanation / Answer
Strain,
E= v*t/L,L=Length,t=time
E= 1.5*16*10^-6/100*10^-3
E= 24*10-5
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