Title:
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Advances in the particle finite element method (PFEM) for solving coupled problems in engineering
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Author:
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Oñate Ibáñez de Navarra, Eugenio; Idelsohn Barg, Sergio Rodolfo; Celigueta Jordana, Miguel Ángel; Rossi, Riccardo; Martí, Julio Marcelo; Carbonell Puigbó, Josep Maria; Ryzhakov, Pavel; Suárez Arroyo, Benjamín
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Projectes Arquitectònics; Universitat Politècnica de Catalunya. Departament de Resistència de Materials i Estructures a l'Enginyeria; Universitat Politècnica de Catalunya. (MC)2 - Grup de Mecànica Computacional en Medis Continus |
Abstract:
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We present some developments in the formulation of the Particle Finite Element Method (PFEM) for analysis of complex coupled problems on fluid and solid mechanics in engineering accounting for fluid-structure interaction and coupled
thermal effects, material degradation and surface wear. The PFEM uses an updated
Lagrangian description to model the motion of nodes (particles) in both the fluid
and the structure domains. Nodes are viewed as material points which can freely move and even separate from the main analysis domain representing, for instance, the effect of water drops. A mesh connects the nodes defining the discretized domain where the governing equations are solved, as in the standard FEM. The necessary stabilization for dealing with the incompressibility of the fluid is introduced via the finite calculus (FIC) method. An incremental iterative scheme for the solution of the
non linear transient coupled fluid-structure problem is described. The procedure for
modelling frictional contact conditions at fluid-solid and solid-solid interfaces via
mesh generation are described. A simple algorithm to treat soil erosion in fluid
beds is presented. An straight forward extension of the PFEM to model excavation
processes and wear of rock cutting tools is described. Examples of application of
the PFEM to solve a wide number of coupled problems in engineering such as the
effect of large waves on breakwaters and bridges, the large motions of floating and
submerged bodies, bed erosion in open channel flows, the wear of rock cutting tools
during excavation and tunneling and the melting, dripping and burning of polymers
in fire situations are presented. |
Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits -Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids -Fluid-structure interaction--Mathematics -Dinàmica de fluids -- Models matemàtics |
Rights:
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Document type:
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Article - Published version Book Part |
Published by:
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Springer
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