Possibilities of the particle finite element method for fluid–soil–structure interaction problems

We present some developments in the particle finite element method (PFEM) for analysis of complex coupled problems in mechanics involving fluid–soil–structure interaction (FSSI). The PFEM uses an updated Lagrangian description to model the motion of nodes (particles) in both the fluid and the solid...

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Vydáno v:Computational mechanics Ročník 48; číslo 3; s. 307 - 318
Hlavní autoři: Oñate, Eugenio, Celigueta, Miguel Angel, Idelsohn, Sergio R., Salazar, Fernando, Suárez, Benjamín
Médium: Journal Article
Jazyk:angličtina
Vydáno: Berlin/Heidelberg Springer-Verlag 01.09.2011
Springer
Springer Nature B.V
Témata:
Analysis
Breakwaters
Bridge construction
Bridge foundations
Bridges (structures)
Classical and Continuum Physics
Computational Science and Engineering
Continuums
Dealing
Domains
Engineering
Erosion
Finite element analysis
Finite element method
Incompressibility
Iterative methods
Landslides
Mathematical analysis
Mathematical models
Methods
Nodes
Nonlinear programming
Original Paper
River beds
Rock
Soil erosion
Soil mechanics
Soil structure
Soil-structure interaction
Theoretical and Applied Mechanics
Fluid–soil–structure
Interaction
Particle finite element method
ISSN:0178-7675, 1432-0924
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Popis
Shrnutí:We present some developments in the particle finite element method (PFEM) for analysis of complex coupled problems in mechanics involving fluid–soil–structure interaction (FSSI). The PFEM uses an updated Lagrangian description to model the motion of nodes (particles) in both the fluid and the solid domains (the later including soil/rock and structures). A mesh connects the particles (nodes) defining the discretized domain where the governing equations for each of the constituent materials are solved as in the standard FEM. The stabilization for dealing with an incompressibility continuum is introduced via the finite calculus method. An incremental iterative scheme for the solution of the non linear transient coupled FSSI problem is described. The procedure to model frictional contact conditions and material erosion at fluid–solid and solid–solid interfaces is described. We present several examples of application of the PFEM to solve FSSI problems such as the motion of rocks by water streams, the erosion of a river bed adjacent to a bridge foundation, the stability of breakwaters and constructions sea waves and the study of landslides.
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ISSN:0178-7675
1432-0924
DOI:10.1007/s00466-011-0617-2