Torsional warping analysis of arbitrary beam cross-sections by weak form quadrature elements

Abstract

Abstract Torsional warping is essential for modern beam theories. The commonly used finite element method generally suffers from low convergence rates. A weak form quadrature element formulation for torsional warping analysis of beams with arbitrary cross-section is established. Two numerical examples are given to verify the effectiveness of the present formulation. Results demonstrate that the present formulation is of high accuracy and high efficiency.