Efficient Multilayered Shell Model and Its Application in Large Reinforced Concrete Structures
Publication: Journal of Engineering Mechanics
Volume 148, Issue 12
Abstract
When using the traditional multilayered shell element to perform material nonlinearity analysis of large structures, the computation time is often overwhelming because of the repeated updating and factorization of the large-size global stiffness matrix. This paper aims to provide an efficient and general solution to such problems. To this end, a novel flat multilayered shell model is proposed by adding additional inelastic degrees of freedom (IDOFs) to describe the inelastic behavior of elements and adopting the approximate Woodbury formula that is an efficient solution method based on matrix perturbation theory as a solver. In this way, the entire nonlinear solution process only needs to factorize a sparse matrix called approximate Schur complement, whose dimension is consistent with the IDOF number, instead of the global stiffness matrix. To avoid the performance degradation of the proposed approach due to the activation of too many IDOFs when performing material nonlinearity analysis on large reinforced concrete (RC) structures, an improved concrete constitutive model and a two-level sparseness strategy are further developed. These measures are helpful to numerically reduce the IDOF number of the RC multilayered shell model, thus saving the computational overhead of factorizing and constructing the approximate Schur complement matrix. The accuracy and efficiency of the proposed scheme are verified by numerical examples.
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Data Availability Statement
All data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The authors would like to acknowledge the financial support from the National Key R&D Program of China (Grant No. 2018YFC1504303), the National Natural Science Foundation of China (Grant Nos. 52038002 and 52008075), China Postdoctoral Science Foundation (Grant No. 2020M670751), and Liaoning Revitalization Talents Program (Grant No. XLYC1902043). The opinions, findings, and conclusions expressed in this paper are those of the authors and do not necessarily reflect the views of those acknowledged here.
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Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 148 • Issue 12 • December 2022
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Nov 29, 2021
Accepted: Jul 2, 2022
Published online: Oct 8, 2022
Published in print: Dec 1, 2022
Discussion open until: Mar 8, 2023
ASCE Technical Topics:
- Computer models
- Concrete
- Concrete structures
- Design (by type)
- Engineering fundamentals
- Engineering materials (by type)
- Materials engineering
- Mathematical functions
- Mathematics
- Matrix (mathematics)
- Models (by type)
- Reinforced concrete
- Shell structures
- Structural analysis
- Structural design
- Structural engineering
- Structural models
- Structure reinforcement
- Structures (by type)
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