{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

m15_ps12_fall03

# m15_ps12_fall03 - 1 x 2 x 3 b The rigid body rotation about...

This preview shows page 1. Sign up to view the full content.

Problem M15 (Materials and Structures) i) By considering the change in volume of an infinitessimal element undergoing small elongational strains show that the volumetric strain D V V ˆ = e 1 + 2 + 3 ii) A continuous body experiences a displacement field, u n that is described by: ( 2 2 u 1 = [ 0.5 x 1 - x 2 ) + 0.5x 1 x 2 ] 10 - 3 mm ( 2 2 u 1 = [ 0.25 x 1 - x 2 ) - x 1 x 2 ] 10 - 3 mm u 3 = 0 . Determine: a) The 6 components of the strain tensor as a function of position (i.e. in terms of x
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1 , x 2 , x 3 ) b) The rigid body rotation about x 3 as a function of position (i.e. in terms of x 1 , x 2 , x 3 ). c) The principal strains and the principal strain directions at x 1 = 5mm and x 2 =7 mm. d) The volumetric strain at x 1 = 5mm and x 2 =7 mm....
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online