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L. Damkilde* and S. Krenk#

*Department of Structural Engineering, Technical University of Denmark, Lyngby, Denmark
#Department of Building Technology and Structural Engineering, University of Aalborg, Aalborg, Denmark

doi:10.4203/ccp.25.7.2

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L. Damkilde, S. Krenk, "LIMITS - A System for Limit State Calculation of Collapse Load or Optimal Material Layout", in B.H.V. Topping, M. Papadrakakis, (Editors), "Advances in Structural Optimization", Civil-Comp Press, Edinburgh, UK, pp 171-178, 1994. doi:10.4203/ccp.25.7.2

Abstract

A system LimitS for limit state analysis and material optimization has been developed and implemented in a PC environment. The program is based on a general Finite Element format with stress based elements. The solution method is based on the lower-bound theorem, where an optimal stress distribution or an optimal material layout is determined. Through linearization of the yield criteria the optimization problem is stated as a Linear Programming problem. The optimal lower-bound solution is shown to be an upper-bound solution for the discretized problem, and thereby both the statics and kinematics of the collapse mode is determined via the dual variables of the LP-problem.

In LimitS the following element types are implemented: 2D and 3D beam elements, truss elements, triangular slab elements, and shear and stringer elements for plates with in-plane loading. Examples of all 3 problem types are given including both limit state analysis and material optimization.

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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: 25 ADVANCES IN STRUCTURAL OPTIMIZATION Edited by: B.H.V. Topping and M. Papadrakakis Paper VII.2 LIMITS - A System for Limit State Calculation of Collapse Load or Optimal Material Layout L. Damkilde* and S. Krenk# *Department of Structural Engineering, Technical University of Denmark, Lyngby, Denmark #Department of Building Technology and Structural Engineering, University of Aalborg, Aalborg, Denmark doi:10.4203/ccp.25.7.2 purchase the full-text of this paper Full Bibliographic Reference for this paper L. Damkilde, S. Krenk, "LIMITS - A System for Limit State Calculation of Collapse Load or Optimal Material Layout", in B.H.V. Topping, M. Papadrakakis, (Editors), "Advances in Structural Optimization", Civil-Comp Press, Edinburgh, UK, pp 171-178, 1994. doi:10.4203/ccp.25.7.2 Abstract A system LimitS for limit state analysis and material optimization has been developed and implemented in a PC environment. The program is based on a general Finite Element format with stress based elements. The solution method is based on the lower-bound theorem, where an optimal stress distribution or an optimal material layout is determined. Through linearization of the yield criteria the optimization problem is stated as a Linear Programming problem. The optimal lower-bound solution is shown to be an upper-bound solution for the discretized problem, and thereby both the statics and kinematics of the collapse mode is determined via the dual variables of the LP-problem. In LimitS the following element types are implemented: 2D and 3D beam elements, truss elements, triangular slab elements, and shear and stringer elements for plates with in-plane loading. Examples of all 3 problem types are given including both limit state analysis and material optimization. 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 £60 +P&P)
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