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Boundary Elements XXVII

Edited By: A. Kassab, University of Central Florida, USA, C.A. Brebbia, Wessex Institute of Technology, UK, E. Divo, University of Central Florida, USA and D. Poljak, University of Split, Croatia

Torsion Of Cracked Components Using Radial Basis Functions

Price

Free (open access)

Transaction

WIT Transactions on Modelling and Simulation

Volume

39

Pages

10

Published

2005

Size

326 kb

Paper DOI

10.2495/BE050111

Copyright

WIT Press

Author(s)

V. M. A. Leit˜ao

Abstract

In this work, and in the context of the collocation-based radial basis functions approach, a combination of regular and singular functions is considered for the analysis of cracked cross-sections subjected to torsional moments. 1 Introduction Radial basis functions are essential ingredients of the techniques generally known as ”""meshless methods”. In a way or another all of the meshless (or mesh reduc- tion) techniques attempt to solve boundary-value problemswithout resorting to the definition of a ”mesh” (at least not in the form meshes are usually defined in the context of finite or boundary element methods) thus requiring some sort of radial function to measure the influence of a given location on another part of the domain. Techniques based on the partition of unity and the moving least squares concepts (such as the Element Free Galerkin or the hp-clouds methods) are, undoubtedly, the most popular meshless methods. A brief review of the various proposals that have been made (since the early work of Lucy on smoothed particle hydrodynamics) may include the works of Liszka on generalized finite-differences, that of Nayroles et al. on the diffuse element method), Belytschko and co-authors on the element-free Galerkin method; Duarte and Oden on the h-p clouds method, Babuska and Melenk on the partition of unity method, Liu and co-authors on the reproducing kernel method and that of De and Bathe on the finite sphere method. Other approaches include the works of Mukherjee and Mukherjee on the boundary node method and that of Atluri and Zhu on local forms of boundary integral equations. (for the complete references the reader is referred to [1].)

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Related conference

BEM/MRM 47

BEM/MRM 47

25-27 September 2024

Seville, Spain

Related Book

Boundary Elements XXVII

Edited By: A. Kassab, University of Central Florida, USA, C.A. Brebbia, Wessex Institute of Technology, UK, E. Divo, University of Central Florida, USA and D. Poljak, University of Split, Croatia

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Highly Accurate Methods For Solving Elliptic And Parabolic Partial Differential Equations

Convergence Analysis Of Methods For Solving General Equations

Radial Basis Meshless Methods For Unsaturated Flow Problems

Direct Solution Of Certain Ill-posed Boundary Value Problems By The Collocation Method

RBF Collocation Methods As Pseudospectral Methods

Solving Cauchy Problems Of Elliptic Equations By The Method Of Fundamental Solutions

Effective Domain Decomposition Meshless Formulation Of Fully-viscous Incompressible Fluid Flows

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