The outer and inner boundaires of prandtl stress potential functions have what restrictions

Expert Solution

FOLLOWING ARE THE RESTRICTIONS FOR OUTER AND INNER PRANDTL STRESS FUN CTION-

it is assumed that in the case of pure torsion, the stresses are the same in every
normal cross-section.

In this method, the principal unknowns are the
stress components rather than the displacement components .

stress components sigmax,
sigmay, sigmaz and sigmaxy are assumed to be zero. In order to satisfy the equations of equilibrium.

the nonvanishing
stress components sigmazx and sigmayz.

The assumed stress components, if they are to be proper elasticity
solutions, have to satisfy the compatibility conditions.

f is constant around the boundary. Since the stress components depend
only on the differentials of stress function f , for a simply connected region, no loss of
generality is involved in assuming f = 0 on s .

samet mamat answered 3 years ago

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