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Z. Waszczyszyn and M. Janus-Michalska

Institut Metod Komputerowych w Inzynieri Ladowej, Cracow University of Technology, Poland

doi:10.4203/ccp.24.2.4

Z. Waszczyszyn, M. Janus-Michalska, "A Numerical Approach to Exact Finite Elements in Nonlinear Analysis of Bar Structures", in B.H.V. Topping, M. Papadrakakis, (Editors), "Advances in Non-Linear Finite Element Methods", Civil-Comp Press, Edinburgh, UK, pp 47-53, 1994. doi:10.4203/ccp.24.2.4

Abstract

Exact Finite Elements (EFE) are formulated without "a priori" assumed shape functions. Matrices of EFE are obtained as a result of numerical integration of a complete set of field equations which constitute 2-Point Boundary Value Problem (2P-BVP). EFEs have been successfully applied to the linear buckling analysis of bar structures and axisymmetric plates and shells. In the paper incremental set of ordinary differential equations of 2P-BVP has been formulated for finite deflections of elastic and elastic-plastic framed structures. Numerical analysis points out great efficiency of EFEs in case of elastic columns, beams and frames under spatially fixed and follower loads. First results obtained for elastic-plastic structures reveal great possibilities of EFEs application.

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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: 24 ADVANCES IN NON-LINEAR FINITE ELEMENT METHODS Edited by: B.H.V. Topping and M. Papadrakakis Paper II.4 A Numerical Approach to Exact Finite Elements in Nonlinear Analysis of Bar Structures Z. Waszczyszyn and M. Janus-Michalska Institut Metod Komputerowych w Inzynieri Ladowej, Cracow University of Technology, Poland doi:10.4203/ccp.24.2.4 purchase the full-text of this paper Full Bibliographic Reference for this paper Z. Waszczyszyn, M. Janus-Michalska, "A Numerical Approach to Exact Finite Elements in Nonlinear Analysis of Bar Structures", in B.H.V. Topping, M. Papadrakakis, (Editors), "Advances in Non-Linear Finite Element Methods", Civil-Comp Press, Edinburgh, UK, pp 47-53, 1994. doi:10.4203/ccp.24.2.4 Abstract Exact Finite Elements (EFE) are formulated without "a priori" assumed shape functions. Matrices of EFE are obtained as a result of numerical integration of a complete set of field equations which constitute 2-Point Boundary Value Problem (2P-BVP). EFEs have been successfully applied to the linear buckling analysis of bar structures and axisymmetric plates and shells. In the paper incremental set of ordinary differential equations of 2P-BVP has been formulated for finite deflections of elastic and elastic-plastic framed structures. Numerical analysis points out great efficiency of EFEs in case of elastic columns, beams and frames under spatially fixed and follower loads. First results obtained for elastic-plastic structures reveal great possibilities of EFEs application. 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 £68 +P&P)
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