Modelling stability of reinforced concrete walls applying convex optimization

D. Vestergaard, P.N. Poulsen, L.C. Hoang, K.P. Larsen, B. Feddersen

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Due to time constraints on structural design processes, modelling and computational complexityis often a key concern in limit state analysis of reinforced concrete (RC) structures, causing practitioners tochoose efficient but inaccurate methods of analysis over more advanced ones. Recently, a framework usingconvex optimization for elasto-plastic, geometrically linear analysis of RC walls was proposed, enabling analysisof models with more than 10,000 finite elements within minutes on a standard PC. In order to improve theapplicability and relevance of the framework as a design tool, this paper proposes an extension that enablesthe determination of the critical buckling load. Based on the nonlinear solution obtained from the elasto-plasticoptimization problem, the cracked tangent stiffness of the RC sections is determined, and a linearized bucklingproblem is posed and solved as a linear eigenvalue problem. This allows the actual critical buckling load tobe determined by solving a sequence of optimization and eigenvalue problems. The accuracy of the proposedmethod is assessed, and its applicability to practical design scenarios is demonstrated by an analysis of an RCwall with a door hole, showing an average solution time of approximately 30 seconds per load step.
Original languageEnglish
Title of host publicationComputational Modelling of Concrete and Concrete Structures
EditorsGünther Meschke, Bernhard Pichler, Jan G. Rots
PublisherCRC Press
Publication date2022
ISBN (Print)978-1-032-32724-2
ISBN (Electronic)9781003316404
Publication statusPublished - 2022
EventEURO-C 2022: Computational Modelling of Concrete and Concrete Structures Edition - TU Wien, Vienna, Austria
Duration: 23 May 202226 May 2022


ConferenceEURO-C 2022
LocationTU Wien
Internet address


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