Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
For solving a partial different equation by a numerical method, a possible alternative may be either to use a mesh method or a meshless method. A flexible computational procedure for solving 1D linear elastic beam problems is presented that currently uses two forms of approximation function (moving least squares and kernel approximation functions) and two types of formulations, namely the weak form and collocation technique, respectively, to reproduce Element Free Galerkin (EFG) and Smooth Particle Hydrodynamics (SPH) meshless methods. The numerical implementation for beam problems of these two formulations is discussed and numerical tests are presented to illustrate the difference between the formulations.
Czasopismo
Rocznik
Tom
Strony
175--184
Opis fizyczny
Bibliogr. 11 poz.
Twórcy
autor
autor
- Technical University from Iasi, Faculty of Civil Engineering and Building Services, Romania
Bibliografia
- 1. L.B. Lucy, A numerical approach to the testing of the fission thesis. The Astronomical Journal, 82, 12, 1013-1024, 1977.
- 2. W.K. Liu, S. Jun, Y.F. Zhang, Reproducing Kernel Particle Methods, International Journal for Numerical Methods in Fluids, 20, 1081-1106, 1995.
- 3. S. Li, W.K. Liu, Meshfree and particle methods and their applications. Applied Mechanics Review, 55, 1, 1-34, 2002.
- 4. T. Belytschko, Y. Krongauz, D. Organ, M. Fleming, P. Krysl, Meshless methods: An overview and recent developments, Computer Methods in Applied Mechanics and Engineering, 139, 3-47, 1996.
- 5. P.W. Randles, L.D. Libersky, Smoothed Particle Hydrodynamics: Some recent improvements and applications, Computer Methods in Applied Mechanics and Engineering, 139, 375-408, 1996.
- 6. P. Lancaster, K. Salkauskas, Surfaces generated by moving least squares methods, Mathematics of Computation, 37, 141-158, 1981.
- 7. T. Belytschko, Y.Y. Lu, L. Gu, Element-Free Galerkin Methods, International Journal for Numerical Methods in Engineering, 37, 229-256, 1994.
- 8. J. Dolbow, T. Belytschko, An Introduction to Programming the Meshless Element Free Galerkin Method, Archives of Computational Methods in Engineering, 5, 3, 207-241, 1998.
- 9. I.M. Sobol, The Monte Carlo Method, University of Chicago Press, 1974.
- 10. J.J. Monaghan, An introduction to SPH. Computer Physics Communications, 48, 89-96, 1988.
- 11. V.E. Rosca, V.M.A. Leitão, Quasi-Monte Carlo mesh-free integration for meshless weak formulations. Engineering Analysis with Boundary Elements, 32, 6, 471-479, 2008.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BTB5-0011-0075