A two-dimensional co-rotational Timoshenko beam element with XFEM formulation
Lee, Chi King
Tan, Kang Hai
Date of Issue2011
School of Civil and Environmental Engineering
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.
DRNTU::Engineering::Civil engineering::Structures and design
© 2011 Springer-Verlag. This is the author created version of a work that has been peer reviewed and accepted for publication by Computational Mechanics, Springer-Verlag. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [DOI: http://dx.doi.org/10.1007/s00466-011-0670-x].