Title
A numerical approach to the dynamic unilateral contact problem of soil-pile interaction under instabilizing and environmental effects
Abstract
The paper deals with a numerical approach for the dynamic soil-pile interaction, considered as an inequality problem of structural engineering. So, the unilateral contact conditions due to tensionless and elastoplastic softening/fracturing behavior of the soil as well as due to gapping caused by earthquake excitations are taken into account. Moreover, second-order geometric effects for the pile behavior due to preexisting compressive loads and environmental soil effects causing instabilization are taken also into account. The numerical approach is based on a double discretization and on mathematical programming. First, in space the finite element method (FEM) is used for the simulation of the pipeline and the unilateral contact interface, in combination with the boundary element method (BEM) for the soil simulation. Next, with the aid of Laplace transform, the problem conditions are transformed to convolutional ones involving as unknowns the unilateral quantities only. So the number of unknowns is significantly reduced. Then a marching-time approach is applied and finally a nonconvex linear complementarity problem is solved in each time-step.
Year
DOI
Venue
2006
10.1007/978-3-540-70942-8_78
Numerical Methods and Applications
Keywords
Field
DocType
finite element method,second order,mathematical programming,structural engineering,linear complementarity problem,laplace transform,boundary element method
Discretization,Pile,Laplace transform,Mathematical analysis,Finite element method,Unilateral contact,Softening,Boundary element method,Linear complementarity problem,Mathematics
Conference
Volume
ISSN
Citations 
4310
0302-9743
0
PageRank 
References 
Authors
0.34
1
5