Hi all!!!

We have six strain compatibility equations, which are obtained from strain-displacement relations by making an assumptions 'small strains'.

Strain compatibility equations ensure a single valued and continuous displacemnet filed. These equations are used in stress based approach.

Now my queries are as following.

[1] Do we have strain compatibility equations for non-linear strain-displacement relations?

[2] Do we follow stress based approach in non-linear solid mechanics.

For me it looks like it is difficult (may not be possible also) derive strain compatibility equations in nonlinear  solid mechanics.

I request that somebody may through light on the above by giving main focus on 'Strain compatibility equations in nonlinear solid mechanics'

 Thanks in advance,

With regards,

- R. Chennamsetti.