Non-linear quadrature element analysis of composite beams with partial interaction

Abstract

Quadrature element formulation for material non-linear analysis of composite beams with partial interaction is derived on the basis of the Newmark kinematical model. The quadrature element method is characterised by direct evaluation of the integrals involved in the variational description of a problem. The number of integration points in a quadrature element is adjustable in accordance with convergence requirement. A representative case is studied and results are compared with finite element solutions. It is shown that high computational accuracy and efficiency are achieved using the quadrature element method.

Keywords:

• Partially composite beam
• interlayer slip
• non-linear analysis
• quadrature element method

Additional information

Notes on contributors

Z Q Shen

Zhiqiang Shen is a PhD candidate in Civil Engineering Department at Tingshua University, China. His current research interests include structural analysis using the quadrature element method and numerical analysis of impact processes.

H Z Zhong

Hongzhi Zhong is a professor in the Division of Structural Mechanics, Department of Civil Engineering, Tsinghua University, China. His current primary research interest is development of and application of the weak form quadrature element method, which was initiated by himself. He has published over 50 papers in refereed technical journals.