This preview shows page 1. Sign up to view the full content.
Unformatted text preview: Problem 4 Consider an elastic body B , with boundary B = B u B t , displacements u = u specified on B u , conservative tractions t applied on B t , and conservative body forces f applied throughout B . As discussed in class, the total potential energy of the body is [ u ] = Z B wdV + Z B GdV + Z B gdS, where w is the strain energy density and f i =-G u i and t i =-g u i . Complete the derivation outlined in class, to show that stationarity of requires that equilibium of the body and the appropriate traction and displacement conditions on the boundary be satisfied. 1...
View Full Document
This note was uploaded on 03/06/2008 for the course MAE 261A taught by Professor Klug during the Fall '04 term at UCLA.
- Fall '04