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Green-Lagrange Strain Components
Fri, 2009-08-28 12:56 - surajitdas
How can it be proved that the Green-Lagrange strain components include the rigid body motions?
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Hi Surajitdas, Consider
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
reply to Green-Lagrange Strain Components
Hi Surajitdas,
The Green-Lagrange strain does not include rigid body motion. Precisely, that is why it is very useful in large deformation analysis and other nonlinear analysis, Refers to the book:
G. HOLZAPFEl. Nonlinear Solid Mechanics. A continuum approach for engineering. John Wiley & Son, 2000.
Mario Juha
www.eng.usf.edu/~mjuha/