3.16  Compatibility Conditions

Previous:  3.15 Conservation of Mass

Recall    has the three displacement components, but  strain tensor has six components  is known and continuous  exists and is unique.  However, given a set of displacement field  need not exist, reason being that there are  6 equations and 3 unknowns.

Consider    all other    

  

 

 

Hence such a displacement field cannot exist

Next:3.16 (b) Continued

10/02/01 0:49:26