Model for Concrete Strengthening due to Reinforcement
Authors: Isaev A.L., Veldanov V.A. | Published: 07.12.2018 |
Published in issue: #6(123)/2018 | |
Category: Mechanical Engineering and Machine Science | Chapter: Manufacturing Engineering | |
Keywords: numerical simulation, concrete, reinforcement, compressibility, strength criterion, dynamic loading, penetration |
We present a mathematical model for reinforced concrete response to dynamic loads. We based our model on the one used in numerical simulations for non-reinforced concrete when a concrete target is subjected to dynamic loads created by a penetrator. We stated and solved numerically a two-dimensional axially symmetric continuum mechanics problem. We detected the effect of reinforcement on the concrete structure by varying the dynamic compressibility of concrete in the zone where volumetric strain is positive, as well as by modifying its strength criterion. These variations and modifications took into account the physical and mechanical properties of reinforcement steel and the reinforcement ratio of the concrete structure. The resulting model can simulate the behaviour of reinforced concrete structures subjected to dynamic loads caused by rigid bodies penetrating into them
References
[1] Luk V.K., Dykes J.A., Bishop J.E., Taylor P.A., Ludwigsen J.S., Dederman D.A. High speed penetration into low strength concrete target. Proc. 24th Int. Symp. on Ballistics., 2008, pp. 706–713.
[2] Guo L., He Yo., Zhang X., He Yu., Qiao L. Thermal effect on mass loss of projectile during penetration into concrete: experimental and numerical study. Proc. 28th Int. Symp. on Ballistics, 2014, pp. 959–1168.
[3] Sauer C., Heine A., Riedel W., Wickert M. Application of the RHT concrete model for predictive simulations of the penetration into adobe targets. Proc. 30th Int. Symp. on Ballistics, 2017, pp. 2093–2104.
[4] Veldanov V.A., Daurskikh A.Yu., Dudik D.E., et al. Experimental and theoretical research on effect of mechanical properties of concrete and concrete constructions on their deformation behaviour at speed striker penetration. Izvestiya vysshikh uchebnykh zavedeniy. Fizika, 2013, vol. 56, no. 7-3, pp. 26–28 (in Russ.).
[5] Veldanov V.A., Dudik D.E., Isaev A.L., Fedorov S.V. Interaction between highspeed strikers and concrete. Voprosy oboronnoy tekhniki. Ser. 16. Tekhnicheskie sredstva protivodeystviya terrorizmu [Military Enginery. Counter-terrorism technical devices. Issue 16], 2012, no. 7-8, pp. 35–43 (in Russ.).
[6] Babich V.P., Veldanov V.A., Daurskikh A.Yu., et al. High speed striker penetration into concrete. Dinamicheskie i tekhnologicheskie problemy mekhaniki konstruktsiy i sploshnykh sred. XIX Mezhdunar. simp. im. A.G. Gorshkova. Vol. 1 [Dynamical and technological problems of construction mechanics and continuum mechanics. XIX Int. Gorshkov Symp. Vol. 1]. Moscow, MAI Publ., 2013, pp. 21–23 (in Russ.).
[7] Veldanov V.A., Isaev A.L., Perfilev A.Yu., Shlyapina S.A., Sotskiy M.Yu. Experimantal-theoretical calculation method of interaction between non-deformable bodies and concrete. Dinamicheskie i tekhnologicheskie problemy mekhaniki konstruktsiy i sploshnykh sred. XXI Mezhdunar. simp. im. A.G. Gorshkova. Vol. 2 [Dynamical and technological problems of construction mechanics and continuum mechanics. XXI Int. Gorshkov Symp. Vol. 2]. Moscow, MAI Publ., 2015, pp. 110–114 (in Russ.).
[8] Grigoryan S.S. On basic concepts in soil dynamics. Journal of Applied Mathematics and Mechanics, 1960, vol. 24, no. 6, pp. 1604–1627. DOI: 10.1016/0021-8928(60)90013-7
[9] Geniev G.A., Kissyuk V.N. On problem of concrete strength theory generalization. Beton i zhelezobeton, 1965, no. 2, pp. 16–29 (in Russ.).
[10] Balandin P.P. On problem of strength theory. Vestnik inzhenerov i tekhnikov, 1937, no. 1, pp. 19–24 (in Russ.).
[11] Vovk A.A. Povedenie gruntov pod deystviem impulsnykh nagruzok [Soil behaviour under impact of pulse loads]. Kiev, Naukova dumka Publ., 1984. 288 p.
[12] Vovk A.A., Mikhalyuk A.V., Belinskiy I.V. Formation of underground cavity at internal explosion in isotropic rock mass. Prikladnaya mekhanika, 1974, vol. 10, no. 9, pp. 53–59 (in Russ.).
[13] Bazhenov Yu.M. Beton pri dinamicheskom nagruzhenii [Concrete under dynamic loading]. Moscow, Stroyizdat Publ., 1970. 271 p.
[14] Geniev G.A., Kissyuk V.N., Tyupin G.A. Teoriya plastichnosti betona i zhelezobetona [Plasticity theory of concrete and ferro-concrete]. Moscow, Stroyizdat Publ., 1974. 316 p.
[15] Attalla I., Novotny B. Missile impact on a reinforced concrete structures. Nuclear Engineering and Design, 1976, vol. 37, no. 3, pp. 321–332. DOI: 10.1016/0029-5493(76)90063-7
[16] Isaev A.L. Impact of concrete reinforcement on dynamic loading effect by intruding body. Trudy mezhdunar. konf. "III Kharitonovskie tematicheskie nauchnye chteniya" [Proc. Int. Conf. "III Kharitonov Themed Scientific Readings"]. Sarov, VNIIEF Publ., 2002, pp. 150–156 (in Russ.).
[17] Gueraud R., Sokolovsky A., Kavyrchine M., Astruc M. Study of the perforation of reinforced concrete slabs by rigid missiles --- General introduction and experimental study, part I. Nuclear Engineering and Design, 1977, vol. 41, no. 1, pp. 91–102. DOI: 10.1016/0029-5493(77)90097-8