Symmetrized splitting operator method for dynamic consolidation problem of saturated porous semi-infinite foundation. Issue 126 (November 2019)

• Record Type: Journal Article
• Authors: Ma, Huaifa; Song, Yifu; Bu, Changgen; Yang, Yusheng
• Is Part Of: Soil dynamics and earthquake engineering. Issue 126(2019)
• Publication Date: 2019-11
• Subjects: Finite element method -- Dynamic consolidation -- Splitting operator method -- Pore water pressure -- Viscous-spring boundary; Soil dynamics -- Periodicals; Earthquake engineering -- Periodicals; Sols -- Dynamique -- Périodiques; Génie parasismique -- Périodiques; 624.176205
• DOI: 10.1016/j.soildyn.2019.105803
• Languages: English
• ISSNs: 0267-7261

Abstract

Abstract: The u-p form of dynamic consolidation equation provides a convenient approach to get insights into lots of low frequency practical engineering problems. Since the coupling of the dynamic consolidation equation, the existing numerical methods are generally full-implicit or staggered implicit which are always time-consuming. As a motivation to give a fast numerical algorithm for multi-field coupling problems, we construct a symmetrized splitting method in this paper to solve the u-p dynamic consolidation equations and lead to a second-order explicit scheme. To eliminate the reflection of the artificial boundary waves, we have derived the flow conditions of the artificial visco-spring boundary (VSB) for semi-infinite 3D saturated foundations, and presented principle for virtual displacements of the dynamic consolidation problem with artificial VSBs. Furthermore, we take the VSB condition of the fluid-solid two-phase saturated medium into consideration, to simulate the dynamic response process of saturated porous semi-infinite foundation system. The high computational efficiency and stability of the proposed method are verified by the numerical experiments. Highlights: A symmetrized splitting operator method is proposed to explicitly solve the 3D coupling u-p dynamic consolidation equations of the saturated medium. The flow conditions of the artificial viscoelastic boundary for two-phrase saturated porous medium has been derived. The principle for virtual displacements of the dynamic consolidation problem with artificial viscoelastic boundaries is presented. The accuracy and stability of the proposed method are verified and confirmed from numerical examples.