Low‐order stabilized finite element for the full Biot formulation in soil mechanics at finite strain
Конечный элемент низкого порядка со стабилизацией для полной формулировки Био в механике грунтов при конечных деформациях
2019-02-27
SCID: 54.1/djyfryts
Discuss with AI
Biot formulationfinite strainlow-order elementsstabilized finite elementvolumetric locking
Figures from the paper
Abstract (AI)
Summary This article presents a novel finite element formulation for the Biot equation using low‐order elements. Additionally, an extra degree of freedom is introduced to treat the volumetric locking steaming from the effective response of the medium; its balance equation is also stabilized. The accuracy of the proposed formulation is demonstrated by means of numerical analyses.
Key Findings
1
A novel low-order finite element formulation is developed for the full Biot equations in finite-strain soil mechanics.
2
An additional degree of freedom is introduced to address volumetric locking caused by the medium’s effective response.
3
Numerical analyses demonstrate the accuracy of the proposed stabilized finite element method.
4
The balance equation associated with the added degree of freedom is stabilized within the formulation.
Research Object
the full Biot formulation in soil mechanics at finite strain
Research Subject
the accuracy and stabilization of a low-order finite element formulation, including treatment of volumetric locking and stabilization of the extra degree-of-freedom balance equation
Publication Details
Publication Date
2019-02-27
Journal
Publisher
ISSN
Open access PDF
Access Type
Author Information
Download PDF
Subscribe to digest