A two-dimensional co-rotational Timoshenko beam element with XFEM formulation

  • Authors:
  • Jin Xu;C. K. Lee;K. H. Tan

  • Affiliations:
  • School of Civil & Environmental Engineering, Nanyang Technological University, Singapore, Singapore;School of Civil & Environmental Engineering, Nanyang Technological University, Singapore, Singapore;School of Civil & Environmental Engineering, Nanyang Technological University, Singapore, Singapore

  • Venue:
  • Computational Mechanics
  • Year:
  • 2012

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Abstract

Pin connections and plastic hinges produce non-smooth displacement fields in beam structures. By using an appropriate extended finite element method (XFEM), non-smooth solutions can be obtained by regular coarse meshes, which do not necessarily conform to pins or plastic hinges. In this paper, a two-dimensional co-rotational beam element with XFEM formulation to simulate pin connections and plastic hinges is presented. Enrichments for the rotation and the deflection approximations are embedded in a co-rotational frame to capture the non-smoothness in both small and large deformations. Numerical examples on pin connections and plastic hinges demonstrate the accuracy and robustness of the present formulation.