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 3...

To show that the displacement inside a homogeneous isotropic elastic solid is biharmonic and satisfies the differential equation mentioned well start ...

A homogeneous, isotropic, elastic solid is in equilibrium under (uniform) gravity and applied surface stresses. Use Eq.

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, ξ(x), is biharmonic, i.e., it satisfies the differential equation