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Green-Lagrange Strain Components

Submitted by surajitdas on

How can it be proved that the Green-Lagrange strain components include the rigid body motions?

Hi Surajitdas,

 Consider a rigid body for example a plane motion. Give some translatory motion to this. Define initial and final co-ordinates of the body.

U = final position - initial position = U(x,y).

Calculate Green - Lagrange starin tensor => E = 1/2(GardU+(GradU)^T+GradU*(GradU)^T). This vanishies.

I hope this helps.

Regards,

- Ramdas

Sun, 08/30/2009 - 11:42 Permalink