Jwy

oxx = = 2C + 2Fx + 6G>> + 2Kx2 + 6Lxy + 12 My2 + 2 Qx3 + 6Rx2y

+ USxy2 + 20 Ty3 = 2A + 6Dx + 2 Ey + 12 Hx2 + 6Jxy + 2 Ky2 + 20Nx3 + \2Px2y

d2(p dxdy

+ 6Qxy2 + 2 Ry3 = -[B + 2Ex + 2 Fy + 3 Jx2 + AKxy + 3 Ly2 + 4Px3 + 6Qx2y

Using the conditions (i) to (vi) it is possible to set up a series of algebraic equations to determine the values of the eighteen coefficients A to T. Since these conditions must be satisfied for all x values it is appropriate to equate the coefficients of the x terms, for example x3, x2, x and the constants, on both sides of the equations. In the case of the biharmonic equation, condition (vi), all x and y values must be satisfied. This procedure gives the following results:

The stress function <p can thus be written:

3 w fwL2

0 0

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