Finite element analysis of Biot's consolidation with a coupled nonlinear flow model
type: Item
instance of: scholarly article
title: Finite element analysis of Biot's consolidation with a coupled nonlinear flow model
zbMATH Open document ID: 1400.76078
DOI: 10.1155/2016/3047213
author: Yue-bao Deng
author: Ganbin Liu
author: Rong-yue Zheng
author: Kanghe Xie
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: A nonlinear flow relationship, which assumes that the fluid flow in the soil skeleton obeys the Hansbo non-Darcian flow and that the coefficient of permeability changes with void ratio, was incorporated into Biot's general consolidation theory for a consolidation simulation of normally consolidated soft ground with or without vertical drains. The governing equations with the coupled nonlinear flow model were presented first for the force equilibrium condition and then for the continuity condition. Based on the weighted residual method, the finite element (FE) formulations were then derived, and an existing FE program was modified accordingly to take the nonlinear flow model into consideration. Comparative analyses using established theoretical solutions and numerical solutions were completed, and the results were satisfactory. On this basis, we investigated the effect of the coupled nonlinear flow on consolidation development.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74L10
Mathematics Subject Classification ID: 65M60
zbMATH DE Number: 6953000
Wikidata QID: Q59130784
describes a project that uses: FEAPpv
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/3047213
OpenAlex ID: W2266543829
cites work: Q4255437
cites work: Non-linear analysis of the consolidation of an elastic saturated soil with incompressible fluid and variable permeability by FEM
cites work: Consolidation with threshold gradients
cites work: Analysis of 1D consolidation with non-Darcian flow described by exponent and threshold gradient
cites work: An investigation of the stability of numerical solutions of Biot's equations of consolidation
description: scientific article; zbMATH DE number 6953000