Poroelastodynamics: linear models, analytical solutions, and numerical methods

M Schanz - 2009 - asmedigitalcollection.asme.org
This article presents an overview on poroelastodynamic models and some analytical
solutions. A brief summary of Biot's theory and of other poroelastic dynamic governing …

Elastic waves in continuous and discontinuous geological media by boundary integral equation methods: A review

GD Manolis, PS Dineva - Soil Dynamics and Earthquake Engineering, 2015 - Elsevier
In this review paper, we concentrate on the use of boundary integral equation (BIE) based
methods for the numerical modeling of elastic wave motion in naturally occurring media. The …

Numerical manifold method for dynamic consolidation of saturated porous media with three‐field formulation

W Wu, H Zheng, Y Yang - International Journal for Numerical …, 2019 - Wiley Online Library
In terms of the three‐field formulation of Biot's dynamic consolidation theory, the numerical
manifold method (NMM) is developed, where the same approximation to skeleton …

[HTML][HTML] Poroelastodynamic potential method for transversely isotropic fluid-saturated poroelastic media

A Pooladi, M Rahimian, RYS Pak - Applied Mathematical Modelling, 2017 - Elsevier
By introduction of two scalar potentials, an analytical method is developed for the solution of
poroelastodynamic boundary value problems in transversely isotropic fluid-saturated …

Fundamental solutions in 3D elastodynamics for the BEM: A review

PS Dineva, GD Manolis, F Wuttke - Engineering Analysis with Boundary …, 2019 - Elsevier
In this work, we attempt to collect all available fundamental solutions in 3D elastodynamics
that would be suitable for use in Boundary Element Method (BEM) formulations. Given that …

FE/FMBE coupling to model fluid–structure interaction

S Schneider - International Journal for Numerical Methods in …, 2008 - Wiley Online Library
In this paper, a finite element (FE)/fast multipole boundary element (FMBE)‐coupling method
is presented for modeling fluid–structure interaction problems numerically. Vibrating …

Numerical and analytical investigation of compressional wave propagation in saturated soils

B Han, L Zdravkovic, S Kontoe - Computers and Geotechnics, 2016 - Elsevier
In geotechnical earthquake engineering, wave propagation plays a fundamental role in
engineering applications related to the dynamic response of geotechnical structures and to …

Dynamic soil consolidation model using a nonlocal continuum poroelastic damage approach

Y Chen, ME Mobasher… - International Journal for …, 2022 - Wiley Online Library
We present a novel dynamic poroelastic model for soil consolidation in an isotropic
homogeneous fluid saturated porous media. A nonlocal integral‐type continuum damage …

Mixed finite element formulation for dynamics of porous media

Z Lotfian, MV Sivaselvan - International Journal for Numerical …, 2018 - Wiley Online Library
This paper presents a numerical approach for computing solutions to Biot's fully dynamic
model of saturated porous media with incompressible solid and fluid phases. Spatial …

Boundary integral formulation and two-dimensional fundamental solutions for dynamic behavior analysis of unsaturated soils

P Maghoul, B Gatmiri, D Duhamel - Soil Dynamics and Earthquake …, 2011 - Elsevier
In this paper the coupled equations governing the dynamic behavior of unsaturated soils are
derived based on the poromechanics theory within the framework of the suction-based …