Page 275 - Introduction to Continuum Mechanics
P. 275
The Elastic Solid 259
Fig. 5.8
CorresDondinE to this displacement field are the nonzero strains
The nonzero stress components are, from Hooke's law
* s\
To determine if this is a possible state of stress in the absence of body forces, we check the
equilibrium equations dTy/dxj = 0. The first equation is identically satisfied, whereas from
the second and third equations we have
