An efficient grid-based direct-volume integration BEM for 3D geometrically nonlinear elasticity

DOI10.1007/s00466-017-1515-zzbMath1459.74184OpenAlexW2770655233WikidataQ113327309 ScholiaQ113327309MaRDI QIDQ1624368

Yani Deng, Junjie Rong, Wenjing Ye, Leonard J. Gray

Publication date: 16 November 2018

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-017-1515-z

zbMATH Keywords

numerical methodsgeometrically nonlinear elasticityboundary element

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Boundary element methods applied to problems in solid mechanics (74S15) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (1)

Boundary integral analysis for non-homogeneous, incompressible Stokes flows

Cites Work

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• An efficient high-order boundary element method for nonlinear wave-wave and wave-body interactions
• On the treatment of corners in the boundary element method
• On the evaluation of hyper-singular integrals arising in the boundary element method for linear elasticity
• A spectral boundary integral method for flowing blood cells
• Boundary element formulation for geometrically nonlinear elastostatics
• A non-hypersingular boundary integral formulation for displacement gradients in linear elasticity
• A field boundary element formulation for material nonlinear problems at finite strains
• Complexity and accuracy of the grid-based direct-volume integration BEM for quasilinear problems
• Grid-based volume integration for elasticity
• Efficient evaluation of volume integrals in the boundary element method
• Some recent results and proposals for the use of radial basis functions in the BEM
• 2D analysis for geometrically nonlinear elastic problems using the BEM
• Singular integrals and boundary elements
• A boundary element formulation for geometrically nonlinear analysis of shear deformable shells
• Exact integration for stress evaluation in the boundary element analysis of two-dimensional elastostatics
• Fast BEM solution for coupled 3D electrostatic and linear elastic problems
• A grid-based integral approach for quasilinear problems
• A BEM-based domain decomposition method for nonlinear analysis of elastic space membranes
• A new method to the treatment of corners in the BEM
• Numerical solutions in three dimensional elastostatics
• Evaluation of hypersingular integrals in the boundary element method
• Precorrected FFT accelerated BEM for large-scale transient elastodynamic analysis using frequency-domain approach
• Cell-based volume integration for boundary integral analysis
• Numerical Characterization of Porous Solids and Performance Evaluation of Theoretical Models via the Precorrected-FFT Accelerated BEM
• Geometrically Nonlinear Analysis of Reissner-Mindlin Plate by Meshless Computation
• A fast integral approach for drag force calculation due to oscillatory slip stokes flows
• Large deflection analysis of elastic space membranes
• Conforming versus non-conforming boundary elements in three-dimensional elastostatics
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Direct computation of Cauchy principal value integrals in advanced boundary elements
• Two-dimensional stress intensity factor computations using the boundary element method
• Quadrature Over a Pyramid or Cube of Integrands with a Singularity at a Vertex
• A General Algorithm for Multidimensional Cauchy Principal Value Integrals in the Boundary Element Method
• Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostatics
• A multiple‐node method to resolve the difficulties in the boundary integral equation method caused by corners and discontinuous boundary conditions
• An accelerated surface discretization-based BEM approach for non-homogeneous linear problems in 3-D complex domains
• The domain-boundary element method (DBEM) for hyperelastic and elastoplastic finite deformation: Axisymmetric and 2D/3D problems

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