A homogeneous, isotropic, elastic solid is in equilibrium under (uniform) gravity and applied surface stresses Use Eq (11 30) to show that the displacement inside it, (x), is biharmonic, i e , it satisfies the differential equation Show also that the expansion satisfies the Laplace equation Eq 11 30 0 (11 34a)

Question: A homogeneous, isotropic, elastic solid is in equilibrium under (uniform) gravity and applied surface stresses. Use Eq. (11.30) to show that the displacement inside it,

A homogeneous, isotropic, elastic solid is in equilibrium under (uniform) gravity and applied surface stresses. Use Eq. (11.30) to show that the displacement inside it, ξ(x), is biharmonic, i.e., it satisfies the differential equation

=0. (11.34a)

Show also that the expansion Θ satisfies the Laplace equation

Eq.11.30.

=0. (11.34a)

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