Module 4 : Nonlinear elasticity
  Lecture:23 : Homogeneuos Strain
 

 

Other stress components are                                                                   

Since, pure homogeneous strains are the same as those for inhomogeneous strains, the stress strains will apply to general deformation of an elastic body. They can be transformed to any fixed, rectangular, Cartesian co-ordinate system . Suppose the direction cosines of the axes  of strain ellipsoid referred to the co-ordinate system  are given by                                        

Then the components of stress referred to axes  given in terms of those referred to  are,

(23.2)

Finally we obtain the following relation:

(23.3)