Article ID Journal Published Year Pages File Type
510182 Computers & Structures 2014 14 Pages PDF
Abstract

•We propose a new and efficient warping displacement model.•The model can be used for discontinuously varying cross-section beams.•We develop a new method to calculate free and interface warping functions.•The numerical results demonstrate the feasibility and effectiveness.

In this paper, we propose a new and efficient warping displacement model to ensure the continuity of warping in beams with discontinuously varying arbitrary cross-sections. We briefly review the formulation of the continuum mechanics based beam finite elements allowing warping displacements. We then propose three basis warping functions: one free warping function and two interface warping functions. The entire warping displacement field is constructed by a combination of the three basis warping functions with warping degrees of freedom (DOFs). We also propose a new method to simultaneously calculate the free warping function and the corresponding twisting center. Based on this method, the interface warping functions and the twisting centers at the interface cross-sections are obtained by solving a set of coupled equations at the interface of two different cross-sections. Several beam problems with discontinuously varying cross-sections are numerically solved. The effectiveness of the proposed model is demonstrated by comparing the numerical results with those obtained by refined solid and shell finite element models.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science Applications
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