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K. Krabbenhoft and L. Damkilde

Department of Structural Engineering and Materials, Technical University of Denmark, Lyngby, Denmark

doi:10.4203/ccp.65.5.1

K. Krabbenhoft, L. Damkilde, "Limit Analysis based on Lower-bound Solutions and Nonlinear Yield Criteria", in B.H.V. Topping, (Editor), "Finite Elements: Techniques and Developments", Civil-Comp Press, Edinburgh, UK, pp 117-129, 2000. doi:10.4203/ccp.65.5.1

Abstract

A finite element formulation of the limit analysis of perfectly plastic laterally loaded plates is given. An element with linear moment fields for which equilibrium is satisfied exactly is used in connection with an optimization algorithm taking into account the full nonlinearity of the yield criteria. Both load and material optimization problems are formulated and by means of the duality theory of linear programming the displacements are extracted from the dual variables. Numerical examples demonstrating the capabilities of the method and the effects of using a more refined representation of the yield criteria are given.

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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: 65 FINITE ELEMENTS: TECHNIQUES AND DEVELOPMENTS Edited by: B.H.V. Topping Paper V.1 Limit Analysis based on Lower-bound Solutions and Nonlinear Yield Criteria K. Krabbenhoft and L. Damkilde Department of Structural Engineering and Materials, Technical University of Denmark, Lyngby, Denmark doi:10.4203/ccp.65.5.1 purchase the full-text of this paper Full Bibliographic Reference for this paper K. Krabbenhoft, L. Damkilde, "Limit Analysis based on Lower-bound Solutions and Nonlinear Yield Criteria", in B.H.V. Topping, (Editor), "Finite Elements: Techniques and Developments", Civil-Comp Press, Edinburgh, UK, pp 117-129, 2000. doi:10.4203/ccp.65.5.1 Abstract A finite element formulation of the limit analysis of perfectly plastic laterally loaded plates is given. An element with linear moment fields for which equilibrium is satisfied exactly is used in connection with an optimization algorithm taking into account the full nonlinearity of the yield criteria. Both load and material optimization problems are formulated and by means of the duality theory of linear programming the displacements are extracted from the dual variables. Numerical examples demonstrating the capabilities of the method and the effects of using a more refined representation of the yield criteria are given. 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 £80 +P&P)
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