Dynamic analysis of column and borehole problems in soils and rocks
type: Item
instance of: scholarly article
title: Dynamic analysis of column and borehole problems in soils and rocks
zbMATH Open document ID: 0817.73051
author: I. Vgenopoulou
author: D. E. Beskos
published in: Acta Mechanica
publication date: 1994-01-13T00:00:00Z
review text: The one-dimensional dynamic column and borehole problems of soil and rock mechanics are solved analytically-numerically. The poroelastic soil medium obeys the Vardoulakis-Beskos theory, while the poroelastic, fissured rock medium the Aifantis-Beskos theory. The quasi-static counterparts of these problems are analysed as special cases of the dynamic ones. Use of Laplace transform with respect to time reduces the column and borehole problems to ordinary differential equations with constant and variable coefficients, respectively. The transformed solution of these problems is obtained analytically for the column and by finite differences for the borehole problem.
Mathematics Subject Classification ID: 74L10
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 482327
zbMATH Keywords: correspondence principle
zbMATH Keywords: poroelastic soil
zbMATH Keywords: Vardoulakis-Beskos theory
zbMATH Keywords: fissured rock medium
zbMATH Keywords: Aifantis-Beskos theory
zbMATH Keywords: Laplace transform
zbMATH Keywords: ordinary differential equations
zbMATH Keywords: finite differences
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 482327