We demonstrate the application of the GRTensorII package "elasticity" to problems in nonlinear elasticity in engineering mechanics. The notation follows the classic text by Green and Zerna.

• Download Paper:
  • Fast, in postscript form elasticity.ps.gz (95 KB)
  • Slow, paper in right frame
• Dowload the current elasticity package
  Place this in the GRTensorII library.

• Theoretical Elasticity by A. E. Green and W. Zerna, Oxford University Press, reprinted by Dover. QA931 .G7 1968 Chapter 3.
• Musgrave, P. (P. Eng) and Lake, K. 1997 "Engineering Applications of GRTensorII 1:Elasticity-Finite Deformations".

Simple shear

Simple shear of a cuboid. (3.2):

ey.mpl || ex.mpl || elas32.mws || elas32.html

Torsion

Pure torsion of a right circular cylinder. (3.3):

ey.mpl || ex.mpl || elas33.mws || elas33.html

Extension, inflation, and torsion of a cylindrical tube

Cylindrical tube (torsion). (3.4):

ey.mpl || ex.mpl || elas34.mws || elas34.html

Extension, inflation, and shear of a cylindrical tube

Cylindrical tube (shear). (3.7):

ey.mpl || ex.mpl || elas37.mws || elas37.html

• General Relativity & Geometry
• Black Hole Perturbations