Page 344 - Introduction to Continuum Mechanics
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328 The Elastic Solid
Rg.5.20
The left Cauchy-Green tensor B corresponding to this deformation field can be calculated
using Eqs. (3.30.12): [Note / 3 = a c = 1]
The inverse of B can be obtained to be
The scalar invariants of B are
We shall use the constitutive equation for a hyperelastic solid for this problem. Thus, from
Eq. (5.34.11), we have
