B Free Finite Element Approach for Saturated Porous Media: Consolidation. (5th June 2016)

• Record Type: Journal Article
• Authors: Stickle, M. M.; Yague, A.; Pastor, M.
• Other Names: Garcea Giovanni Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2016(2016)
• Publication Date: 2016-06-05
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2016/4256079
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : TheB free finite element approach is applied to the governing equations describing the consolidation process in saturated poroelastic medium with intrinsically incompressible solid and fluid phases. Under this approach, where Voigt notation is avoided, the finite element equilibrium equations and the linearization of the coupled governing equations are fully derived using tensor algebra. In order to assess theB free approach for the consolidation equations, direct comparison with analytical solution of the response of a homogeneous and isotropic water-saturated poroelastic finite column under harmonic load is presented. The results illustrate the capability of this finite element approach of reproducing accurately the response of quasistatic phenomena in a saturated porous medium.