Dynamic analysis of column and borehole problems in soils and rocks
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.
scientific article; zbMATH DE number 482327