Fermi University Physics

PHYSICS · Multi-part · Fermi University Physics · Fluids & Continuum Physics · Solid continuum mechanics and complex fluids · Solid continuum mechanics and complex fluids

The Solid Earth, Ch Stress, strain and elastic waves in the Earth

Problem

Use

\lambda = K - \tfrac23\mu

\nu = \dfrac{\lambda}{2(\lambda+\mu)}

and

E = 2\mu(1+\nu)

. ((a)) A basalt sample has bulk modulus

K = 60\,\mathrm{GPa}

and shear modulus

\mu = 25\,\mathrm{GPa}

. Find

\lambda

\nu

and

E

. ((b)) Water has bulk modulus

K = 2.2\,\mathrm{GPa}

and, being a fluid,

\mu = 0

; treat it as the limit of an isotropic solid whose shear modulus falls to zero at fixed

K

. Find the limiting

\lambda

\nu

and

E

, and say in words why this value of

\nu

is the largest an isotropic medium can have.

Browse the problem library