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F. Molenkamp*, C.B. Sharma# and E. Lewis#

*Department of Civil and Structural Engineering
#Department of Mathematics, University of Manchester, Manchester, UK

doi:10.4203/ccp.33.4.1

F. Molenkamp, C.B. Sharma, E. Lewis, "Evaluation of Accuracy of an Enhanced Finite Element", in B.H.V. Topping, (Editor), "Developments in Computational Techniques for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 101-107, 1995. doi:10.4203/ccp.33.4.1

Abstract

The accuracies of the properties of the analytical quadrilateral finite element formulations for plane-strain equivalent linear elastic deformation are considered. First, the appropriate range for applications in geomechanics of the equivalent elastic parameter, Poisson's ratio, nu, will be discussed. Then the analytical solution of this finite element for both compatible, displacement controlled boundary conditions and incompatible, traction controlled conditions are described and expressed in terms of their eigenmodes of deformation. These results are evaluated by comparing them with various "engineering" solutions for plane deformation.

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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: 33 DEVELOPMENTS IN COMPUTATIONAL TECHNIQUES FOR STRUCTURAL ENGINEERING Edited by: B.H.V. Topping Paper IV.1 Evaluation of Accuracy of an Enhanced Finite Element F. Molenkamp, C.B. Sharma# and E. Lewis# Department of Civil and Structural Engineering #Department of Mathematics, University of Manchester, Manchester, UK doi:10.4203/ccp.33.4.1 purchase the full-text of this paper Full Bibliographic Reference for this paper F. Molenkamp, C.B. Sharma, E. Lewis, "Evaluation of Accuracy of an Enhanced Finite Element", in B.H.V. Topping, (Editor), "Developments in Computational Techniques for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 101-107, 1995. doi:10.4203/ccp.33.4.1 Abstract The accuracies of the properties of the analytical quadrilateral finite element formulations for plane-strain equivalent linear elastic deformation are considered. First, the appropriate range for applications in geomechanics of the equivalent elastic parameter, Poisson's ratio, nu, will be discussed. Then the analytical solution of this finite element for both compatible, displacement controlled boundary conditions and incompatible, traction controlled conditions are described and expressed in terms of their eigenmodes of deformation. These results are evaluated by comparing them with various "engineering" solutions for plane deformation. 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 £78 +P&P)
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