Abstract
In this work we consider numerical analysis of elasticity problem for reinforced concrete deep beams. Main investigation is made to define the effect of presence of steel-polypropylene fibres in concrete mixture for different types of reinforcement. For numerical solution we use finite element method approximation. Numerical realization of method performed on collection of free software FEniCS. As model problem we consider computation of elastically-deformed state of reinforced concrete structure, consisting of concrete matrix and steel reinforcement, loaded in 3-point bending test. Numerical results of three-dimensional problem with complex geometry are presented.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Afanas’eva, N.M., Vabishchevich, P.N., Vasil’eva, M.V.: Unconditionally stable schemes for convection-diffusion problems. Russ. Math. 57(3), 1–11 (2013)
Vabishhevich, P.N., Vasil’eva, M.V., Kolesov, A.E.: Shema rasshheplenija dlja zadach porouprugosti i termouprugosti. Zhurnal vychislitel’noj matematiki i matematicheskoj fiziki 54(8), 1345–1355 (2014)
Kolesov, A.E., Vabishchevich, P.N., Vasil’eva, M.V.: Splitting schemes for poroelasticity and thermoelasticity problems. Comput. Math. Appl. 67(12), 2185–2198 (2014)
Kolesov, A.E., Vabishchevich, P.N., Vasilyeva, M.V., Gornov, V.F.: Splitting scheme for poroelasticity and thermoelasticity problems. In: Dimov, I., Faragó, I., Vulkov, L. (eds.) FDM 2014. LNCS, vol. 9045, pp. 241–248. Springer, Cham (2015). doi:10.1007/978-3-319-20239-6_25
Sivtsev, P.V., Vabishchevich, P.N., Vasilyeva, M.V.: Numerical simulation of thermoelasticity problems on high performance computing systems. In: Dimov, I., Faragó, I., Vulkov, L. (eds.) FDM 2014. LNCS, vol. 9045, pp. 364–370. Springer, Cham (2015). doi:10.1007/978-3-319-20239-6_40
Logg, A., Mardal, K.A., Wells, G.N.: Automated Solution of Differential Equations by the Finite Element Method. Springer, Heidelberg (2012)
Rombach, G.A.: Finite Element Design of Concrete Structures. Thomas Telford, London (2004)
Smarzewski, P., Poreba, J., Rentflejsz, A.: Badania doswiadczalne tarcz zelbetowych z betonu wysokowartosciowego z dodatkiem wlokien. Budownictwo i Architektura 10, 15–26 (2012)
Lui, S.H.: Numerical Analysis of Partial Differential Equations. Wiley, Hoboken (2012)
Sivtsev, P.V.: Chislennoe modelirovanie zadachi uprugosti zhelezobetonnyh plit. Vestnik SVFU 4(48), 64–74 (2015)
Acknowledgements
The research was supported by “Scientific and Educational Foundation for Young Scientists of Republic of Sakha (Yakutia)” 201604010196 and “Russian Foundation for Basic Research” (project N15-31-20856).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Kolesov, A.E., Sivtsev, P.V., Smarzewski, P., Vabishchevich, P.N. (2017). Numerical Analysis of Reinforced Concrete Deep Beams. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Numerical Analysis and Its Applications. NAA 2016. Lecture Notes in Computer Science(), vol 10187. Springer, Cham. https://doi.org/10.1007/978-3-319-57099-0_46
Download citation
DOI: https://doi.org/10.1007/978-3-319-57099-0_46
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-57098-3
Online ISBN: 978-3-319-57099-0
eBook Packages: Computer ScienceComputer Science (R0)