Hooke’s law and volumetric strain for plane-stress
Consider the state of plane-stress shown in the figure.
One can consider this state as a linear superposition of the following three loading states:
The total strain in the x-direction is , the total strain in the y-direction is , and the total shear strain is . Therefore the expression for Hooke’s law in plane stress is given as
These expressions can be inverted to obtain stress in terms of strain. The result is the following form of Hooke’s law.
ã Mehrdad Negahban and the University of Nebraska, 1996-2000.
All rights reserved
Copy and distribute freely for personal use only
Department of Engineering Mechanics, University of Nebraska, Lincoln, NE 68588-0526
Last modified at: 4:49 PM, Tuesday, March 14, 2000