Since the strain energy has physical meaning that is independent of the choice of coordinate axes, it
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Since the strain energy has physical meaning that is independent of the choice of coordinate axes, it must be invariant to all coordinate transformations. Because U is a quadratic form in the strains or stresses, it cannot depend on the third invariants IIIe or I3, and so it must depend only on the first two invariants of the strain or stress tensors. Show that the strain energy can be written in the following forms:
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Related Book For
Elasticity Theory Applications And Numerics
ISBN: 9780128159873
4th Edition
Authors: Martin H. Sadd Ph.D.
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