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Stochastic Lattice Modelling of the Force-Displacement and Cracking Behaviour of the Steel Reinforced Tie
Joint Authors
Kliukas, R.
Zabulionis, Darius
Lukoševičienė, Ona
Kačianauskas, Rimantas
Tumonis, Liudas
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-04-10
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
The stochastic modelling of the microcracking and the force-displacement behaviour of the tensile steel reinforced tie using the lattice model is presented in the current article.
The three-dimension problem of the modelling of the tie is reduced to the two-dimensional so as the main stiffness parameters of the concrete and the reinforcement of the two-dimensional model would be the same as for the three-dimensional.
The concrete and steel obey the Hook law.
All elastic constants, as well as dimensions of the tie, were assumed as the deterministic quantities except for the critical concrete tensile strains which were treated as a two-dimensional stationary uncorrelated truncated Gaussian random field.
The discrete element approach and the explicit integration scheme have been used for the modelling.
The estimations of the main parameters of the force-displacement behaviour stochastic process and other statistical indexes were obtained using 72 realization of the force-displacement behaviour of a chosen model.
Extra two stochastic realizations of the two different models, as well as three deterministic models, were modelled to compare stochastic and deterministic behaviour of the force-displacement behaviour.
The analysis showed that the force-displacement behaviour of the tie under tensile force cannot be treated as a Gaussian stochastic process when the p value is 0.05 at the small displacements and within the interval when the cracking of the concrete is very intensive.
However, at the bigger displacements, when the cracking becomes less intensive, the tensile force can be treated as a Gaussian random variable.
American Psychological Association (APA)
Zabulionis, Darius& Lukoševičienė, Ona& Kačianauskas, Rimantas& Tumonis, Liudas& Kliukas, R.. 2019. Stochastic Lattice Modelling of the Force-Displacement and Cracking Behaviour of the Steel Reinforced Tie. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-17.
https://search.emarefa.net/detail/BIM-1196491
Modern Language Association (MLA)
Zabulionis, Darius…[et al.]. Stochastic Lattice Modelling of the Force-Displacement and Cracking Behaviour of the Steel Reinforced Tie. Mathematical Problems in Engineering No. 2019 (2019), pp.1-17.
https://search.emarefa.net/detail/BIM-1196491
American Medical Association (AMA)
Zabulionis, Darius& Lukoševičienė, Ona& Kačianauskas, Rimantas& Tumonis, Liudas& Kliukas, R.. Stochastic Lattice Modelling of the Force-Displacement and Cracking Behaviour of the Steel Reinforced Tie. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-17.
https://search.emarefa.net/detail/BIM-1196491
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196491