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Finite Difference Method

Finite Difference Method

(OP)
Hello all,

I'm looking for literature (or guidance) about using the Finite Difference Method (FDM) to calculate the stresses in soil due to load at the surface.

I chose FDM since other methods like the Boussinesq equations, 2:1 Method etc. were not intended for layered soils. I understand that there are programs employing the Finite Element Method (FEM) to model such soils but FEM is rather complicated in itself, and many programs which use it are black-box.

My goal is to program the FDM to calculate stress distributions in a (macro-free) spreadsheet to get decent results quickly and easily.

RE: Finite Difference Method

Various closed-form solutions for multi-layer problems, rigid loaded areas, finite-thickness of compressible soil, etc are found In "Elastic Solutions for Soil and Rock Mechanics" By Poulos and Davis. You can find it and use it for free online.

RE: Finite Difference Method

(OP)
@aeoliantexan, much thanks, the info has been extremely helpful.

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