Energy-Based Approach: Analysis of a Vertically Loaded Pile in Multi-Layered Non-Linear Soil Strata

Numerous studies have been reported in the published literature on analytical solutions for a vertically loaded pile installed homogeneous single soil layer. However, piles are rarely an ideal This study presents model based energy-based approach to obtain displacements axially embedded multi-layered considering non-linearity. The developed incorporating Euler-Bernoulli beam theory proved be effective way estimating load-displacement responses of non-linear elastic strata. differential equations solved analytically and numerically using variational principle mechanics. A parametric investigated effect explicit incorporation properties layering order understand importance predicting appropriate displacement linear system. It is clear from results that analyses which consider as layer will not able produce accurate estimation stiffnesses. Therefore, it highly important account response. response obtained software MATLAB R2019a method compared with those field test data well Finite Element Analysis (FEA) ANSYS 2019R3. constitutive relationship described variation secant shear modulus strain through power law has shown reasonably predictions when FEA. mathematical framework also more computationally efficient than three-dimensional (3D)