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Finite Difference Method 1

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Jovon

Civil/Environmental
Jan 8, 2017
2
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.
 
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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.
 
@aeoliantexan, much thanks, the info has been extremely helpful.
 
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