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GarcíaSuárez
C.

Alarcón Álvarez
Enrique
enrique.alarcon@upm.es
Consolidation problems
Springer
byncnd
pub
 construccion
 matematicas
public
paper
The analysis of deformation in soils is of paramount importance in geotechnical engineering. For a long time the complex behaviour of natural deposits defied the ingenuity of engineers. The time has come that, with the aid of computers, numerical methods will allow the solution of every problem if the material law can be specified with a certain accuracy. Boundary Techniques (B.E.) have recently exploded in a splendid flowering of methods and applications that compare advantegeously with other wellestablished procedures like the finite element method (F.E.). Its application to soil mechanics problems (Brebbia 1981) has started and will grow in the future. This paper tries to present a simple formulation to a classical problem. In fact, there is already a large amount of application of B.E. to diffusion problems (Rizzo et al, Shaw, Chang et al, Combescure et al, Wrobel et al, Roures et al, Onishi et al) and very recently the first specific application to consolidation problems has been published by Bnishi et al. Here we develop an alternative formulation to that presented in the last reference. Fundamentally the idea is to introduce a finite difference discretization in the time domain in order to use the fundamental solution of a Helmholtz type equation governing the neutral pressure distribution. Although this procedure seems to have been unappreciated in the previous technical literature it is nevertheless effective and straightforward to implement. Indeed for the special problem in study it is perfectly suited, because a step by step interaction between the elastic and flow problems is needed. It allows also the introduction of nonlinear elastic properties and time dependent conditions very easily as will be shown and compares well with performances of other approaches.
published
1982
Berlin
14
4th. International Seminar on Boundary Element Methods in Engineering
Southampton, England
21/09/198223/09/1982
conference
Industriales
Mecanica2
TRUE
3540118195
Boundary Element Methods in Engineering
http://www.springer.com/physics/classical+continuum+physics/book/9783662112755