3D Discrete Solid-Element Method for Elastoplastic Problems of Continuity
Publication: Journal of Engineering Mechanics
Volume 144, Issue 7
Abstract
This paper proposes a novel three-dimensional (3D) discrete solid-element method (DSEM) to calculate the extremely large deformation and high material nonlinearity of continuity. In DSEM, the material is discretized into rigid spherical elements. The two spherical elements on the edge and the diagonal line of the cube model are linked together through springs, which consist of one normal spring and two shear springs. The mechanical behavior of the structure is calculated using the discrete grid system composed of spherical elements and springs. To accurately reflect the mechanical behavior of the material, the principle of energy conservation is used to strictly deduce the spring stiffness, and the relationship between spring stiffness and elastic constants is established. In accordance with the plastic mechanics and the fourth strength theory of the material, the yield equation and elastoplastic force-displacement equations in DSEM are deduced based on the orthogonal flow rule and the consistency condition. The numerical analysis shows that DSEM can effectively address the problems of extremely large deformation and high material nonlinearity.
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Acknowledgments
This research was financial supported by the Fundamental Research Funds for the Central Universities, by the Colleges and Universities in Jiangsu Province Plans to Graduate Research and Innovation (KYLX15_0089), by a project funded by the Priority Academic Program Development of the Jiangsu Higher Education Institutions, and by the Natural Science Foundation of China under Grant No. 51278117.
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Published In
Journal of Engineering Mechanics
Volume 144 • Issue 7 • July 2018
Copyright
©2018 American Society of Civil Engineers.
History
Received: Aug 30, 2017
Accepted: Dec 13, 2017
Published online: Apr 30, 2018
Published in print: Jul 1, 2018
Discussion open until: Sep 30, 2018
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