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

作者：Xu Jin^*; Lee C K; Tan K H

来源：Computational Mechanics, 2012, 49(5): 667-683.

DOI：10.1007/s00466-011-0670-x

• Extended finite element method
• Co-rotational formulation
• Shifted enrichment
• Timoshenko beam
• Perfect pin
• Plastic hinge

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.

• 出版日期2012-5
• 单位南阳理工学院