Show that Cerrutis problem of Fig. 13.3 is solved by the Galerkin vector and Lames potential specified

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Show that Cerruti’s problem of Fig. 13.3 is solved by the Galerkin vector and Lame´’s potential specified in relations (13.3.15). Develop the expressions for the Cartesian displacements and stresses:

P R U= "=+HAR [1 + +(1-2) (~+2 (8+2F)] 4R R+z (R+z) Pxy 1 1-2v Px 12v V = -PR (= (R+2)+). " === (+1=) W 4R 4

Fig 13.3

Equation 13.3.15

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Elasticity Theory Applications And Numerics

ISBN: 9780128159873

4th Edition

Authors: Martin H. Sadd Ph.D.

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Question Posted: Jan 15, 2024 05:03 AM

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Show that Cerrutis problem of Fig. 13.3 is solved by the Galerkin vector and Lames potential specified

Question:

P R U= "=+HAR [1 + + (1-2)(~+2 (8+2F)] 4R R+z (R+z) Pxy 1 1-2v Px 12v V = -PUR (= (+2)). " === (+1=) W 4R 4 R+2 0x = dy 0 Px 2 - + (2-2) ( - x-24-)] 2TR (R+z) R+z) Px-3y 2TR R 3Pxz 2RS? Tyz Py 2TR + (1-2v) (R+z) = 3Pxyz 2RS 3x (1-2v) R 2) 3R. Txz = 2Rx R+2) 3Pxz 2TR (R = 20) ( - 2 +28+)]

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Proposedolution Cerrutis Problemis combinatia of Galerkin ectorandLamepotential 12vP Cx ...View the full answer

Elasticity Theory Applications And Numerics

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