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Mathematical Problems in Engineering
Volume 2015, Article ID 979678, 16 pages
http://dx.doi.org/10.1155/2015/979678
Research Article

Single Spring Joint Element Based on the Mixed Coordinate System

1College of Water Conservancy and Hydropower, Hohai University, Nanjing 210098, China
2Laboratory for Hydraulics Saint-Venant, ENPC-EDF-CEREMA, Université Paris-Est, 78400 Chatou, France
3Changjiang Survey, Planning, Design and Research Limited Liability Company, Wuhan 430010, China

Received 30 July 2015; Accepted 2 November 2015

Academic Editor: Manuel Pastor

Copyright © 2015 Lanhao Zhao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

As a FEM for reinforced concrete bond-slip problems, one important feature of the typical double spring joint element method is the selection of the normal stiffness, which may cause the mutual embedding problem and bring challenges to the calculation. In this paper, a novel single spring joint element method based on the mixed coordinate system is proposed to simulate the interaction of two materials. Instead of choosing the normal stiffness arbitrarily, the proposed method makes DOFs of two materials in the normal direction equal to ensure deformation compatibility. And its solid elements for the concrete are solved in global coordinate system, while the beam elements for the steel bar are solved in local coordinate system. In addition, the proposed method can also be applied to RC structures with irregular arrangements of steel bars. Numerical examples demonstrate the validity and accuracy of the proposed approach. Furthermore, the bond model is applied to RC beams with the description of the damage process.