Demonstrate that no strain occurs during rigid body motion

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A four-node square element undergoes large displacement and rotation in the XY plane, as shown in the figure.

The node initially at the origin is moved to (1, 1 - sinπ/4) and the element is rotated by 45°. Calculate the deformation gradient.

Compute the Lagrangian strains and demonstrate that no strain occurs during rigid-body motion.

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Reference no: EM131303730

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