Show that Kelvins problem of Fig. 13.1 may be solved using the axisymmetric Papkovich functions (Boussinesq potentials):

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Show that Kelvin’s problem of Fig. 13.1 may be solved using the axisymmetric Papkovich functions (Boussinesq potentials):

P 2 TR Verify that the displacements match those given in equations (13.3.10). B = 0, A=

Fig 13.1

P Z P Resultant Boundary Condition Evaluation y

Equation 13.3.10

2ur = Arz 3 R r = A 4((. Te A 2 = 0, 2 = A (1-2v)z_3rz) R R$ 0= -A (1-2v)z R Toz = 0 1 = A ( (1 = 2^)+ / 2 +

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