Interaction and multiscale mechanics

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On the kinematic coupling of 1D and 3D finite elements: a structural model

  • Yue, Jianguang (State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University) ;
  • Fafitis, Apostolos (Department of Civil and Environmental Engineering, Arizona State University) ;
  • Qian, Jiang (State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University)
  • Received : 2010.03.03
  • Accepted : 2010.05.19
  • Published : 2010.06.25
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Abstract

In most framed structures the nonlinearities and the damages are localized, extending over a limited length of the structural member. In order to capture the details of the local damage, the segments of a member that have entered the nonlinear range may need to be analyzed using the three-dimensional element (3D) model whereas the rest of the member can be analyzed using the simpler one-dimensional (1D) element model with fewer degrees of freedom. An Element-Coupling model was proposed to couple the small scale solid 3D elements with the large scale 1D beam elements. The mixed dimensional coupling is performed imposing the kinematic coupling hypothesis of the 1D model on the interfaces of the 3D model. The analysis results are compared with test results of a reinforced concrete pipe column and a structure consisting of reinforced concrete columns and a steel space truss subjected to static and dynamic loading. This structure is a reduced scale model of a direct air-cooled condenser support platform built in a thermal power plant. The reduction scale for the column as well as for the structure was 1:8. The same structures are also analyzed using 3D solid elements for the entire structure to demonstrate the validity of the Element-Coupling model. A comparison of the accuracy and the computational effort indicates that by the proposed Element-Coupling method the accuracy is almost the same but the computational effort is significantly reduced.

Keywords

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