Exercises

E$8\mathrm{.}1.$ Separate versions of Rowe's stress$-$dilatancy relationship were produced for triaxial compression and for plane strain conditions in Section $8\mathrm{.}5.$ For conditions of plane strain, an expression relating mobilised angles of dilation and friction has been quoted $(8\mathrm{.}42).$ Show that, for this expression to be valid also for conditions of

Exercises

$253$

triaxial compression, the angle $$ would have to be defined as $($Tatsuoka$,1987)$

$sin=\frac{-3{}_p}{6{}_q-{}_p}$