An Introduction to the Theory of Elasticity by Atkin R. J.; Fox N.; & N. Fox

Author:Atkin, R. J.; Fox, N.; & N. Fox
Language: eng
Format: epub
ISBN: 1909730
Publisher: Dover Publications
Published: 2012-10-11T16:00:00+00:00

(4.6.22)

where V0 is the region occupied by the body in .

Now in view of (4.6.21), initially we must have Du/Dt = 0, and since u = 0 then E = 0 and W = 0. Hence,

Since each integrand is non-negative, we must have

and therefore W = 0, Du/Dt = 0. Initially u = 0, and so u = 0 for all time. This proves that u1 = u2.

4.7 Pure homogeneous deformations

We consider here some solutions of the equations of linear elasticity corresponding to the pure homogeneous deformations discussed in Sections 3.4 to 3.7 for finite deformation. Now using (1.7.1) the deformation (3.4.1) may be described by the displacement field

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.