Existing Inverse Analysis Approaches for Tensile Stress–Strain Relationship of UHPC with Treated Steel Fibers
Publication: Journal of Materials in Civil Engineering
Volume 33, Issue 6
Abstract
Based on the limited information on the tensile stress–strain relationship of ultra-high-performance concrete (UHPC) with treated fibers, the objective of the present research is to experimentally investigate the flexural behavior of UHPC with the treated fibers using a four-point flexural test. The steel fibers inside the UHPC matrix were aligned using an improved device and chemically treated using Zinc phosphate (ZnPh) simultaneously. Also, image analysis was used to obtain the fiber orientation factor with and without the fiber treatments. Two existing inverse analysis methods (namely point-by-point inverse analysis and a five-point inverse analysis) were used to derive tensile stress–strain relationships from the flexural test data. Then, comparisons between the predicted and experimental tensile response were conducted. The results showed that the flexural cracking strength, ultimate strength, and corresponding deflections were enhanced by 39.3%, 95.3%, and 124.5%, respectively, in UHPC with chemically treated and aligned fibers as compared to the reference specimen. The five-point inverse analysis cannot predict the tensile stress-stain relationship of UHPC with or without aligned fibers, while the predicted results from the point-by-point inverse analysis agree well with the experimental results for UHPC without fiber alignment. However, the testing tensile response of UHPC with aligned fibers can be predicted by the point-by-point inverse analysis after a ratio of fiber orientation factor of UHPC with fiber alignment to that without fiber alignment is incorporated to scale the tensile response.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
Acknowledgments
This study was funded by the National Natural Science Foundation of China (Grant Nos. 51578226 and 51778221).
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Published In
Journal of Materials in Civil Engineering
Volume 33 • Issue 6 • June 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Jun 19, 2020
Accepted: Oct 28, 2020
Published online: Mar 27, 2021
Published in print: Jun 1, 2021
Discussion open until: Aug 27, 2021
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