Layer-element analysis of multilayered saturated soils subject to axisymmetric vertical time-harmonic excitation

• Published in: Applied mathematics and mechanics Vol. 38; no. 9; pp. 1295 - 1312
• Main Authors: Ai, Zhiyong, Wang, Lihua
• Format: Journal Article
• Language: English
• Published: Shanghai Shanghai University 01.09.2017; Springer Nature B.V; Department of Geotechnical Engineering, Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, College of Civil Engineering,Tongji University, Shanghai 200092, China
• Edition: English ed.
• Subjects: Algebra; Applications of Mathematics; Boundary conditions; Classical Mechanics; Continuity (mathematics); Excitation; Fluid- and Aerodynamics; Half spaces; Harmonic excitation; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Partial Differential Equations; Saturated soils; Soil conditions; Soil dynamics; Soil layers; steady state dynamic response; TU435; multilayered saturated soil; O39; 37C30; analytical layer-element method; 76T99; axisymmetric vertical excitation; 70J35
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-017-2241-8

The analytical layer-elements for a single poroelastic soil layer and the underlying half-space are established using an algebraic manipulation and Hankel trans- form. According to the boundary conditions and adjacent continuity conditions of general stresses and displacements, a global matrix equation in the transform domain for multi- layered saturated soil media is assembled and solved. Solutions in the frequency domain can be further obtained with an inverse Hankel transform. Numerical examples are used to examine accuracy of the present method and demonstrate effects of soil parameters and load conditions on dynamic responses of the multilayered poroelastic saturated soils.