Reduce partial differential equation to algebraic equation

Reference no: EM131258676

Solve equation (10.59) for a constant normal load on the earth's surface using a combination of Laplace and Fourier transforms to reduce the partial differential equation to an algebraic equation. Note that in order to extend the domain of z to -∞ to ∞ to make use of the Fourier transform, and to match the boundary condition for the vertical stress on the plane z = 0, we need to take σ_zz(z = 0, t) = -2F H(t)[H(z)-1], as in appendix B. Following the procedures there leads to the result given in equation (10.65).

Reference no: EM131258676

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