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PLESKACHEVSKII Yuri M., Corresponding Member of the NAS of Belarus, Dr. Techn. Sc., Professor, Advisor of the NAS of Belarus, V.A. Belyi Metal-Polymer Research Institute, Gomel, The Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

SHIMANOVSKY Alexandr O., Dr. Techn. Sc., Associate Professor, Head of Department of Technical Physics and Engineering Mechanics, Belarusian State University of Transport, Gomel, The Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

Year 2016 Issue 1 Pages 41-51
Type of article RAR Index UDK 534.1 Index BBK  

The article considers approaches to solutions to the problem concerning composite structure deformations using finite element method. The examples of composite simulations based on the material unit cells and real microstructures are shown. The results of simulations have been obtained for the concrete and reinforced concrete structural elements considering internal contact interactions between the composite matrix and the reinforcing phase.


computer simulation, composite materials, material unit cell, microstructure, contact interaction

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  • Brebbia C.A., Telles J.C.F., Wrobel L.C. Boundary Element Techniques. Theory and Applications in Engineering. Berlin, Springer-Verlag, 1984, 464 p. [Russ. ed.: Brebbia C., Telles J., Wrobel L. Metody granichnyh jelementov. Moscow, Mir Publ., 1987. 524 p.]
  • Bohm H.J., Rammerstorfer F.G., Weisenbek E. Some simple models for micromechanical investigations of fiber arrangement effects in MMCs. Computational Materials Science, 1993, vol. 1, no. 3, pp. 177–194.
  • Basov K.A. ANSYS: Spravochnik pol’zovatelja [ANSYS: User’s Handbook]. Moscow, DMK Press, 2014. 639 p.
  • Brockenborough J. R., Suresh S., Wienecke H. A. Deformation of metal-matrix composites with continuous fibers: geometrical effects of fiber distribution and shape. Acta Metallurgica et Materialia, 1991, vol. 39, no. 5, pp. 735–752.
  • Dong M., Schmauder S. FE modelling of continuous fiber and particle reinforced composites by self-consistent embedded cell models. Computational Methods in Micromechanics. San Francisco, ASME, 1995, pp. 81–86.
  • Shen Y.-L., Finot M., Needleman A., Suresh S. Effective elastic response of two-phase composites. Acta Metallurgica et Materialia, 1994, vol. 42, no. 1, pp. 77–97.
  • Dong M., Schmauder S. Transverse mechanical behaviour of fiber reinforced composites – FE modelling with embedded cell models. Computational Material Science, 1996, vol. 5, no. 1–3, pp. 53–66.
  • Chernous D.A., Konyok D.A. Uprugoplasticheskoe deformirovanie poristyh materialov (dvumernaja model’) [Elasto-plastic deformation of cellular solid (2D model)]. Materialy, tehnologii, instrumenty [Materials, Technologies, Instruments], 2002, vol. 7, no. 1, pp. 21–24.
  • Shilko S.V., Petrokovets E.M., Pleskachevsky Yu.M. Prediction of auxetic phenomena in nanoporomaterials. Physica Status Solidi, 2008, vol. 245, no. 11, pp. 2445–2453.
  • Kuna M., Zun D.-S. Three-dimensional cell model analyses of void growth in ductile materials. International Journal of Fracture, 1996, vol. 81, no. 3, pp. 235–258.
  • Geni M., Kikuchi M. Damage analysis of aluminum matrix composite considering non-uniform distribution of SiC particles. Acta Materialia, 1998, vol. 46, no. 9, pp. 3125–3133.
  • Jakovenko O.A., Zaval’naja I.V., Nalivajko Ju.N. Primenenie ANSYS dlja analiza dinamicheskih harakteristik kompozicionnyh materialov [Application of ANSYS to analyze the dynamic characteristics of composite materials]. ANSYS Advantage, Russkaja redakcija [ANSYS Advantage, Russian Edition], 2011, no. 15, pp. 63–64.
  • Iung I., Petitgand H., Grange M., Lemaire E. Mechanical behaviour of multiphase materials: Numerical simulations and experimental comparisons. Proceedings of the IUTAM Symposium on Micromechanics of Plasticity and Damage of Multiphase Materials, Dordrecht, Kluwer Academic Publishers, 1996, pp. 99–106.
  • Nahlik L., Hutar P., Duskova M., Dusek K., Masa B. Estimation of the macroscopic stress-strain curve of a particulate composite with a crosslinked polymer matrix. Mechanics of Composite Materials, 2011, vol. 47, no. 6, pp. 627–634. [Russ. ed.: Naglik L., Gutarzh P., Dushkova M., Dushek K., Masha B. Ocenka makroskopicheskoj krivoj deformirovanija kompozita na osnove sshitoj polimernoj matricy s poroshkovym napolnitelem. Mehanika kompozitnyh materialov, 2011, vol. 47, no. 6, pp. 893–902].
  • Garishin O.K., Lebedev S.N. Issledovanie strukturnyh naprjazhenij v dispersno napolnennyh jelastomernyh nanokompozitah [Study of structural stress in the dispersionfilled elastomeric nanocomposites]. Mehanika kompozicionnyh materialov i konstrukcij [Mechanics of composite materials and structures], 2006, vol. 12, no. 3, pp. 289–299.
  • Wulf J., Schmauder S., Fischmeister H. F. Finite element modeling of crack propagation in ductile fracture. Computational Materials Science, 1993, vol. 1, no. 3, pp. 297–301.
  • Lippmann N., Steinkopff Th., Schmauder S., Gumbsch P. 3D-Finite-Element-modelling of microstructures with the method of multiphase elements. Computational Materials Science, 1997, vol. 9, no. 1–2, pp. 28–35.
  • Antretter T., Fischer F.D., Plankensteiner A.F., Rammerstorfer F.G. Multiscale Modeling of Highly Heterogeneous MMCs. ZAMM – Journal of Applied Mathematics and Mechanics, vol. 79, no. S1, pp. 127–130.
  • Shilko S.V., Riabchenko T.V. Mezomehanicheskij analiz asfal’tobetona dlja dorozhnyh pokrytij [Meso-mechanical analysis of bituminous concrete for paving]. Problemy i perspektivy razvitija transportnyh sistem i stroitel’nogo kompleksa [Problems and development prospects of transport systems and the construction industry]. Gomel, BelSUT, 2013, pp. 321–322.
  • Pasovets V.N., Kovtun V.A., Mihovski M., Pleskachevskii Yu.M., Aleksiev A. Ocenka urovnja naprjazhenij, voznikajushhih v zonah kontaktnogo vzaimodejstvija dispersnyh komponentov metallopolimernyh nanostrukturirovannyh sistem pri jelektromehanotermicheskom vozdejstvii [Evaluation of stress levels appearing in contact interaction zones of nanostructured metal-polymer systems dispersed components under electromechanical loading]. Mehanika. Nauchnye issledovanija i uchebno-metodicheskie razrabotki [Mechanics: Scientific Researches and Methodical Development], 2014, vol. 8, pp. 154–163.
  • Carter W.C., Langer S.A., Fuller E.R. Jr. OOF: Finite Element Analysis of Microstructures (2003). Available at: (accessed 26 June 2015).
  • Moorthy S., Ghosh S. Voronoi cell finite element model for particle cracking in elastic-plastic composite materials. Computer Methods in Applied Mechanics and Engineering, 1998, vol. 151, no. 3–4, pp. 377–400.
  • Ghosh S., Lee K., Moorthy S. Multiple analysis of heterogeneous elastic structures using homogenization theory and Voronoi cell finite element method. International Journal of Solids and Structures, 1995, vol. 32, no. 1, pp. 27–62.
  • Knyazeva E.N., Kukareko V.A., Alexandrov V.Y., Timoshenko N.P. Primenenie metoda konechnyh jelementov pri issledovanii kompozicionnyh materialov: Podhody, metodiki, programmnye sredstva [Application of the finite element method to the investigation of composite materials. Approaches, methods, computer programms]. Mehanika mashin, mehanizmov i materialov [Mechanics of machines, mechanisms and materials], 2013, no. 3(24), pp. 69–76.
  • Steinkopff Th., Sautter M. Simulating the elasto-plastic behavior of multiphase materials by advanced finite element techniques Part I: a rezoning technique and the multiphase element method. Computational Materials Science, 1995, vol. 4, no. 1, pp. 10–14.
  • Saouma V. Lecture Notes in Fracture Mechanics. Boulder, University of Colorado, 1995. 79 p.
  • Jirasek M. Comparative study on finite elements with embedded discontinuities. Computer Methods in Applied Mechanics and Engineering, 2000, vol. 188, no. 1–3, pp. 307–330.
  • Mishnaevsky L., Schmauder S. Continuum mesomechanical finite element modeling in materials development: A state-of-the-art review. Applied Mechanics Reviews, 2001, vol. 54, no. 1, pp. 49–67.
  • Shimanovskiy A.O., Kuziomkina H.M., Yakubovich V.I., Vasiliev A.A. Mnogourovnevoe komp'juternoe modelirovanie stroitel’nyh kompozitov s uchetom vnutrennih kontaktnyh vzaimodejstvij [Multiscale computer modeling of building composites considering the internal contact interactions]. Materialy, tehnologii, instrumenty [Materials, Technologies, Instruments], 2013, vol. 18, no. 4, pp. 17–21.
  • Shimanovskiy A., Kuziomkina H., Pleskachevskiy Yu., Yakubovich V. Finite element modeling of the cement matrix and filler grains interaction. Technolog, 2013, vol. 5, no. 4, pp. 171–174.
  • Shimanovskiy A.O., Yakubovich V.I., Pleskachevskiy Yu.M. Finite Element Modeling of the Composite Reinfoced by Grains. Proceedings of 8th GRACM International Congress on Computational Mechanics, Volos, University of Thessaly Press, 2015. 8 p. Available at:
  • Fanning P. Nonlinear models of reinforced and post-tensioned concrete beams. Electronic Journal of Structural Engineering, 2001, no. 2, pp. 111–119. Available at:
  • Limkatanyu S., Spacone E. Reinforced concrete frame element with bond interfaces. Part 1: Displacement-Based, Force-Based and Mixed Formulations, 2002, vol. 128, no. 3, pp. 346–355.
  • Pleskachevskii Yu.M., Shimanovskii A.O., Kuzemkina G.M. Finite-Element Modeling of the Interaction of Reinforcement with Concrete Matrix. Mechanics of Composite Materials, 2008, vol. 44, no. 3, pp. 209–214.
  • Pleskachevskiy Yu.M., Shimanovsky A.O., Kuziomkina H.M., Yakubovich V.I. Modelirovanie mehanicheskogo vzaimodejstvija armatury s matricej kompozita [Modeling of Mechanical Interaction of Reinforcement with Matrix Composite]. Mehanika mashin, mehanizmov i materialov [Mechanics of machines, mechanisms and materials], 2009, no. 1, pp. 67–71.
  • Kuziomkina H.M., Shimanovsky А.О., Yakubovich V.I. The Special Features of the Deformation for the Bearing Building Constructions with Composite Reinforcement. Procedia Engineering, 2012, vol. 48, pp. 346–351.
  • Jin L., Du X.-L. Meso numerical simulation of reinforced concrete members. Shuili Xuebao, 2012, vol. 43, no. 10, pp. 1230–1242.
  • Vlasov V.M., Bertov V.M., Dolgachev A.D., Donov A.V., Lugovoj A.N. Ispol’zovanie betonnyh balok, armirovannyh stal’noj i stekloplastikovoj armaturoj [Using concrete beams reinforced with steel and fiberglass reinforcement]. Izvestija Vserossijskogo nauchno-issledovatel’skogo instituta gidrotehniki imeni B.E. Vedeneeva [Proceedings of the All-Russian Research Institute of Hydraulic Engineering named B.E. Vedeneev], 2005, vol. 244, pp. 33–38.
  • Blaznov A.N., Volkov Yu.P., Lugovoy A.N., Savin V.F. Prognozirovanie dlitel’noj prochnosti stekloplastikovoj armatury [Prediction of fiberglass reinforcement long-term strength]. Mehanika kompozicionnyh materialov i konstrukcij [Mechanics of composite materials and structures], 2003, vol. 9, no. 4, pp. 579–592.