Computational Technology Resources - CCP

Abstract

For adaptive Finite Element analyses of elastodynamic problems efficient and robust mesh modification schemes - including refinement and coarsening - and simple time step adaptation schemes are necessary.

A hierarchical mesh adaptation procedure and a simple time stepping algorithm for the semidiscrete finite element analysis of plane linear elastodynamic problems with 4-node bilinear elements are proposed. The estimation of the spatial discretization error as well as of the time integration error is performed in the total energy norm taking into account both the strain energy and the kinetic energy part. In order to improve the properties of the displacements and its derivatives after mesh modifications a smoothing procedure is applied. A loss of energy due to the smoothing algorithm is prevented using a simple energy correction scheme. The quality and efficiency of the suggested algorithms are demonstrated with some numerical examples.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 39 ADVANCES IN FINITE ELEMENT TECHNOLOGY Edited by: B.H.V. Topping Paper II.3 Aspects of Hierarchical h-Adaptive Dynamic Analyses J. Riccius and K. Schweizerhof Institute for Mechanics, University of Karlsruhe, Karlsruhe, Germany doi:10.4203/ccp.39.2.3 purchase the full-text of this paper Full Bibliographic Reference for this paper J. Riccius, K. Schweizerhof, "Aspects of Hierarchical h-Adaptive Dynamic Analyses", in B.H.V. Topping, (Editor), "Advances in Finite Element Technology", Civil-Comp Press, Edinburgh, UK, pp 61-69, 1996. doi:10.4203/ccp.39.2.3 Abstract For adaptive Finite Element analyses of elastodynamic problems efficient and robust mesh modification schemes - including refinement and coarsening - and simple time step adaptation schemes are necessary. A hierarchical mesh adaptation procedure and a simple time stepping algorithm for the semidiscrete finite element analysis of plane linear elastodynamic problems with 4-node bilinear elements are proposed. The estimation of the spatial discretization error as well as of the time integration error is performed in the total energy norm taking into account both the strain energy and the kinetic energy part. In order to improve the properties of the displacements and its derivatives after mesh modifications a smoothing procedure is applied. A loss of energy due to the smoothing algorithm is prevented using a simple energy correction scheme. The quality and efficiency of the suggested algorithms are demonstrated with some numerical examples. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £85 +P&P)
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