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Lecture Notes for AE 598 - Special Topics at Illinois (UIUC)

Assignment Information

Material Type:Assignment 5
Professor:Staff
Class:AE 598 - Special Topics
Subject:Aerospace Engineering
University:University of Illinois - Urbana-Champaign
Term:Fall 2005
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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