Inelastic 2D analysis by adaptive iterative BEM–FEM coupling procedures

Soares, Delfim; Godinho, L.

doi:10.1016/j.compstruc.2015.05.007

Cited by 8 publications

(3 citation statements)

References 21 publications

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“…A pseudo-coupled formulation is adopted here, and the BEM and FEM subdomains are treated and solved separately, as uncoupled models. In addition to equations (15), relations between the velocities of the fluid and solid subdomains along their common boundaries must also be defined. In subsection 2.4.2, slip boundary conditions are discussed in detail, allowing the discontinuity of velocities at the fluid-solid interfaces.…”

Section: Fluid-solid Interactionmentioning

confidence: 99%

“…Further developments of these strategies to nonlinear analysis in solid mechanics can be found in Elleithy et al [13], using an interface relaxation BEM-FEM coupling method for elastostatic analysis; Jahromi et al [14], who established a coupling procedure based on a sequential iterative Dirichlet-Neumann coupling algorithm for nonlinear soil-structure interaction; or Soares and Godinho [15], who considered coupled inelastic models with adaptive remeshing. Taking into account iterative formulations, interacting fluid-solid models have also been analysed considering both BEM-FEM [16] and BEM-BEM [17] coupled techniques; however, these formulations are restricted to simulate the behaviour of acoustic fluids (reviews on the topic are provided in [18,19]).…”

Section: Introductionmentioning

confidence: 99%

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A coupled BEM/FEM formulation for drop interaction in Stokes flows with flexible and slip confining boundaries

Soares

Wrobel

2017

Engineering Analysis with Boundary Elements

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In this work, fluid-fluid-solid coupled models are analysed, considering the interaction of boundary and finite element techniques. In this context, the paper focuses on the study of deforming drops through bulk fluids bounded by flexible walls. Here, the fluid subdomains are assumed to be viscous and incompressible, and they are modelled by the BEM. The solid subdomains are assumed to be elastic, and they are modelled by the FEM. Both discontinuity of tractions on the fluid-fluid common boundaries and discontinuity of velocities on the fluidsolid interfaces are considered. For the discontinuity of velocities, a formulation based on nonlinear slip boundary conditions is adopted, which is treated employing a relaxed iterative approach. A Lagrangian representation is considered and remeshing is applied on the fluidfluid interfaces, reducing the appearance of numerical problems. Numerical results are presented to illustrate the performance and potentialities of the proposed techniques.

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Section: Fluid-solid Interactionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A coupled BEM/FEM formulation for drop interaction in Stokes flows with flexible and slip confining boundaries

Soares

Wrobel

2017

Engineering Analysis with Boundary Elements

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“…Therefore modeled by cells are only regions such as stress concentration sites or areas of higher stresses. There are also some combination BEM and FEM in order to profit from their respective advantages [7]. It should be also mentioned another group of methods -so-called meshless methods [8], which do not require a standard mesh of elements.…”

Section: Introductionmentioning

confidence: 99%

Parametric integral equation system (PIES) for 2D elastoplastic analysis

Bołtuć

2016

Engineering Analysis with Boundary Elements

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Finite element method and boundary element method iterative coupling algorithm for 2-D elastodynamic analysis

Lei²,

Liu³

2020

Comp. Appl. Math.

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The coupling algorithm of the finite element method (FEM) and boundary element method (BEM) can make maximal use of both methods' advantages. However, such coupling will reduce the computational efficiency because the systems' degrees of freedom will increase sharply. Thus, a new coupling algorithm that achieves accuracy and computational efficiency is necessary. This study proposes the Newmark-based precise integration FEM (NBPI-FEM) and analytical-based time domain BEM (ABTD-BEM) coupling algorithm. In this coupling algorithm, the governing equation of the FEM is solved by Newmarkbased precise integration, and the governing equation of the BEM is solved by the analytical method. First, the procedures of NBPI-FEM and ABTD-BEM are given. The coupling strategy is then provided, and the relationship between the iteration numbers and the relaxation parameter is investigated. Finally, two illustrative examples-i.e., 1-D rod and a semi-infinite structure-are selected to verify the coupling algorithm proposed in the study. The results show that the numerical solutions agree well with the analytical solutions for the 1-D rod example and coincide with the numerical solutions calculated by FEM. Thus, NBPI-FEM and ABTD-BEM can be applied for solving elastodynamic problems with high accuracy and efficiency. Keywords Elastodynamic analysis • Finite element method • Time domain boundary element method • Newmark method • Analytical solution Mathematics Subject Classification 45Exx Communicated by Baisheng Yan.

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Inelastic 2D analysis by adaptive iterative BEM–FEM coupling procedures

Cited by 8 publications

References 21 publications

A coupled BEM/FEM formulation for drop interaction in Stokes flows with flexible and slip confining boundaries

A coupled BEM/FEM formulation for drop interaction in Stokes flows with flexible and slip confining boundaries

Parametric integral equation system (PIES) for 2D elastoplastic analysis

Finite element method and boundary element method iterative coupling algorithm for 2-D elastodynamic analysis

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