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Title of Journal: Computational Mechanics

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Abbravation: Computational Mechanics

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Springer-Verlag

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DOI

10.1007/bf02722752

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1432-0924

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On coupling of reproducing kernel particle method

Authors: C K Lee S T Lie Y Y Shuai
Publish Date: 2004/08/20
Volume: 34, Issue: 4, Pages: 282-297
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Abstract

In this paper a new coupling method to merge the reproducing kernel particle method RKPM and the boundary element method BEM is proposed In this formulation the whole problem domain will first be divided into two subdomains in which the RKPM and the BEM are applied respectively A simple and direct coupling procedure is then applied to preserve the compatibility of the solution along the interface of the two subdomains Unlike other coupling procedures suggested previously the present coupling procedure neither requires modification of the RKPM and the BEM formulations nor the use of finite elements along the interface boundary between the two subdomains The validity and efficiency of the coupling procedure are demonstrated by using it to solve five benchmark elastostatic stress analysis problems In addition a simple analysis of the a priori convergence rate of the coupling procedure is given Preliminary assessment of the convergence characteristics of the coupling procedure is done by carrying out uniform refinements on the benchmark problems

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Other Papers In This Journal:
  1. Simulating the pervasive fracture of materials and structures using randomly close packed Voronoi tessellations
  2. A first order method for the Cauchy problem for the Laplace equation using BEM
  3. Direct numerical simulation of the dynamics of sliding rough surfaces
  4. Three-dimensional Green’s function for an anisotropic multi-layered half-space
  5. On evaluation of hypersingular integrals over smooth surfaces
  6. Energy partitioning within a micro-particle cluster due to impact with a rigid planar wall
  7. A high order hybrid finite element method applied to the solution of electromagnetic wave scattering problems in the time domain
  8. Numerical techniques for rolling rubber wheels: treatment of inelastic material properties and frictional contact
  9. Adaptive multi-analysis strategy for contact problems with friction
  10. The total and updated lagrangian formulations of state-based peridynamics
  11. A variational constitutive framework for the nonlinear viscoelastic response of a dielectric elastomer
  12. Coronary arterial dynamics computation with medical-image-based time-dependent anatomical models and element-based zero-stress state estimates
  13. Symmetric Galerkin boundary integral fracture analysis for plane orthotropic elasticity
  14. 3D fluid–structure-contact interaction based on a combined XFEM FSI and dual mortar contact approach
  15. Boundary element analysis of three-dimensional crack problems in two joined transversely isotropic solids
  16. Erratum to: Modeling a smooth elastic–inelastic transition with a strongly objective numerical integrator needing no iteration
  17. A regularized collocation boundary element method for linear poroelasticity
  18. Detection of stiffness reductions in laminated composite plates from their dynamic response using the microgenetic algorithm
  19. A unified approach for a posteriori high-order curved mesh generation using solid mechanics
  20. Computation of turbulent vortex shedding
  21. Weighted overconstrained least-squares mixed finite elements for static and dynamic problems in quasi-incompressible elasticity
  22. Mixed state-vector finite element analysis for a higher-order box beam theory
  23. Analysis of Microelectromechanical Systems (MEMS) Devices by the Meshless Point Weighted Least-squares Method
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