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AE598FM/CE575/ME598DHA - Homework asignment #5
Tuesday November 29, 2005
Due Friday, December 9, 2005 (by 5pm)
Topics : elastodynamics and dynamic fracture
Problem 1
Use elastodynamics to investigate the response of the clasical "5-sphere" problem.
Model each sphere as a short linearly elastic rod of length L and asume that one rod is
impacting the other four with a velocity V
o
(se figure below). What happens if two
spheres impact the other thre?
Problem 2
Using the Gren's function approach discussed in clas, solve the problem of an infinite
crack (located on y=0 and x<0) suddenly subjected to a uniform anti-plane shear loading
?* at t=0. At the same time, the crack starts to propagate at a constant velocity v
c
(asumed to be 0
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