Deformation Gradient-Based Remedy for Mesh Objective Three-Dimensional Interlocking Mechanism
Publication: Journal of Engineering Mechanics
Volume 144, Issue 1
Abstract
Interlocking over cracked surfaces is one of the primary sources of the shear force–resisting mechanism of general reinforced concrete structures. From the interlocking, shear stress develops in a substantially complex way due to the irregular asperity of cracked surfaces and the heterogeneous mixture of aggregate and cement. Previously, the author proposed a three-dimensional (3D) interlocking model that is rooted in microphysical interaction between a rigid particle and a soft matrix. However, the small deformation assumption and mesh sensitivity remain challenges. This study focuses on a novel computational method to achieve mesh objectivity of the 3D interlocking mechanism that can cover large deformations of general complex 3D RC structures. The proposed method exploits the deformation gradient at a separate domain where physical information of the crack-normal gap and crack-tangential sliding is rigorously defined. A generalized 3D version of the well-known crack band theory is infused into the interlocking mechanism, thereby giving rise to the mesh objectivity. This method can be directly applied to the large displacement and large rotation conditions.
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Acknowledgments
This research is supported by the research funding of Department of Civil, Construction, and Environmental Engineering of Iowa State University. Generous research support from the Black and Veatch Fellowship is also appreciated. The research reported in this paper is partially supported by the HPC@ISU equipment at Iowa State University, some of which has been purchased through funding provided by NSF under MRI Grant No. CNS 1229081 and CRI Grant No. 1205413. Generous support of Professor John Wallace with the experimental results is appreciated. Special thanks are due to Professor John F. Hall for his productive discussion of nonlinear analysis methods.
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Published In
Journal of Engineering Mechanics
Volume 144 • Issue 1 • January 2018
Copyright
©2017 American Society of Civil Engineers.
History
Received: Dec 30, 2015
Accepted: Jun 8, 2017
Published online: Nov 11, 2017
Published in print: Jan 1, 2018
Discussion open until: Apr 11, 2018
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