Homogeneous Strain

If the components of displacements are linear function of coordinates, the strain is called homogeneous strain.

Analysis of Strain:

Deformation in a continuous body is defined as the change in the positions of the points in the body so that their relative distances are altered.

Say a point at ( x,y,z ) in the undeformed / unstarined state of the body moves to a unique location ( ). Then the co-ordinates be a definite function of the coordinates of the same point before deformation:

(1.1)

where functions are assumed to be continuous in the region occupied by the body. Similarly, the coordinates are also continuous functions of .