Vertical vibration of a rigid circular disc embedded in a transversely isotropic and layered poroelastic half-space. (September 2020)

• Record Type: Journal Article
• Authors: Zhang, Zhiqing; Pan, Ernian
• Is Part Of: Engineering analysis with boundary elements. Volume 118(2020)
• Page Start: 84
• Page End: 95
• Publication Date: 2020-09
• Subjects: Fundamental solution -- Embedded disc -- Transverse isotropy -- Poroelastic half-space -- Multilayers -- Integral least square; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2020.05.017
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: Fundamental solution for the time-harmonic vertical vibration of a rigid circular disc embedded in a transversely isotropic and layered poroelastic half-space is developed using a semi-analytical method. First, based on the Green's function of the time-harmonic vertical circular load embedded in the layered half-space, function of the corresponding annular ring load is determined via the method of superposition. Then the disc-medium contact area is discretized into annular ring elements with unknown densities which are determined via an integral least-square approach. Finally, the dynamic vertical compliance is derived by virtue of the equilibrium between the applied load on the disc and the resultant contact stress. Based on the derived fundamental solution, selected numerical examples on the dynamic vertical compliance are presented to investigate the influence of the surface hydraulic condition, fluid saturation, embedment depth of the disc, material anisotropy, material layering, and input frequency.