Summary and Discussion

92 From the above, we deduce the following observations:

1. If both the displacement gradients and the displacements themselves are small, then dX ~ du and thus the Eulerian and the Lagrangian infinitesimal strain tensors may be taken as equal Eij = E*j.

2. If the displacement gradients are small, but the displacements are large, we should use the Eulerian infinitesimal representation.

3. If the displacements gradients are large, but the displacements are small, use the Lagrangian finite strain representation.

4. If both the displacement gradients and the displacements are large, use the Eulerian finite strain representation.

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