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DESIGNING AND DETAILING OF BUILDING SYSTEMS. MECHANICS IN CIVIL ENGINEERING

DETERMINATION OF STRESS-STRAIN STATE OF A THREE-LAYER BEAM WITH APPLICATION OF CONTACT LAYER METHOD

Vestnik MGSU 4/2016
  • Andreev Vladimir Igorevich - Moscow State University of Civil Engineering (National Research University) (MGSU) Doctor of Technical Sciences, Professor, corresponding member of Russian Academy of Architecture and Construction Sciences, chair, Department of Strength of Materials, Moscow State University of Civil Engineering (National Research University) (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Turusov Robert Alekseevich - Moscow State University of Civil Engineering (National Research University) (MGSU) Doctor of Physical and Mathematical Sciences, Professor, Department of Strength of Materials, Moscow State University of Civil Engineering (National Research University) (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Tsybin Nikita Yur’evich - Moscow State University of Civil Engineering (National Research University) (MGSU) postgraduate student, Department of Strength of Materials, Moscow State University of Civil Engineering (National Research University) (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 17-26

The article deals with the solution for the stress-strain state of a multilayer composite beam with rectangular cross-section, which is bended by normally distributed load. The intermolecular interaction between layers is accomplished by the contact layer, in which the substances of adhesive and substrate are mixed. We consider the contact layer as a transversal anisotropic medium with such parameters that it can be represented as a set of short elastic rods, which are not connected to each other. For simplicity, we assume that the rods are normally oriented to the contact surface. The contact layer method allows us to solve the problem of determining the concentration of tangential stresses arising at the boundaries between the layers and the corner points, their changes, as well as to determine the physical properties of the contact layer basing on experimental data. Resolving the equations obtained in this article can be used for the solution of many problems of the theory of layered substances. These equations were derived from the fundamental laws of the theory of elasticity and generally accepted hypotheses of the theory of plates for the general case of the bending problem of a multilayer beam with any number of layers. The article deals with the example of the numerical solution of the problem of bending of a three-layer beam. On the basis of this solution the curves were obtained, which reflect the stress-strain state of one of the layers. All these curves have a narrow area of the edge effect. The edge effect is associated with a large gradient tangential stresses in the contact layer. The experimental data suggest that in this zone the destruction of the samples occurs. This fact allows us to say that the equations obtained in this article can be used to construct a theory of the strength layered beams under bending.

DOI: 10.22227/1997-0935.2016.4.17-26

References
  1. Turusov R.A., Manevich L.I. Metod kontaktnogo sloya v adgezionnoy mekhanike. Odnomernye zadachi. Sdvig soedineniya vnakhlestku [Contact Layer Method in Adhesion Mechanics. One-Dimensional Tasks. Lap Shear]. Klei. Germetiki, Tekhnologii [Adhesives. Sealants]. 2009, no. 6, pp. 2—12. (In Russian)
  2. Turusov R.A., Kuperman A., Andreev V.I. Determining the True Strength of the Material of Fiberglass Thick Rings When Stretched with Half-Disks. Advanced Materials Research. 2015, no. 1102, pp. 155—159. DOI: http://dx.doi.org/10.4028/www.scientific.net/AMR.1102.155.
  3. Yazyev B.M., Andreev V.I., Turusov R.A. Nekotorye zadachi i metody mekhaniki makroneodnorodnoy uprugoy sredy [Some Problems and Methods of Macroheterogeneous Elastic Medium Mechanics]. Rostov-on-Don, RGSU Publ., 2009. (In Russian)
  4. Turusov R.A. Elastic and Temperature Behavior of a Layered Structure. Part I. Experiment and Theory. Mechanics of Composite Materials. 2014, vol. 50, no. 6, December, pp. 801—808. DOI: http://dx.doi.org/10.1007/s11029-015-9469-8.
  5. Turusov R.A. Elastic and Temperature Behavior of a Layered Structure. Part II. Calculation Results. Mechanics of Composite Materials. 2015, vol. 51, no. 1, January, pp. 127—134. DOI: http://dx.doi.org/ 10.1007/s11029-015-9484-9.
  6. Zhao L.G., Warrior N.A. and Long A.C. A Micromechanical Study of Residual Stress and Its Effect on Transverse Failure in Polymer-Matrix Composites. International Journal of Solids and Structures. 2006, vol. 43, no. 18—19, pp. 5449—5467. DOI: http://dx.doi.org/10.1016/j.ijsolstr.2005.08.012.
  7. Andreev V.I., Barmenkova E.V. Modelirovanie real’noy sistemy zdanie — fundament — osnovanie dvukhsloynoy balkoy peremennoy zhestkosti na uprugom osnovanii [Modeling of the Real System “Structure—Foundation—Bedding” through the Employment of a Model of a Two-Layer Beam of Variable Rigidity Resting on the Elastic Bedding]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2012, no. 6, pp. 37—41. (In Russian)
  8. Aleksandrov A.V., Potapov V.D., Derzhavin B.P. Soprotivlenie materialov [Strength of Materials]. 7th edition. Moscow, Vysshaya shkola Publ., 2003, 560 p. (In Russian)
  9. Manevich L.I., Pavlenko A.V. Ob uchete strukturnoy neodnorodnosti kompozita pri otsenke adgezionnoy prochnosti [Account of Structural Inhomogeneity of a Composite when Estimating Adhesive Stability]. Prikladnaya mekhanika i tekhnicheskaya fizika [Applied Mechanics and Technical Physics]. 1982, no. 3 (133), pp. 140—145. (In Russian)
  10. Lakes Roderic. Viscoelastic Materials. Cambridge University Press, April 27, 2009, pp. 344—350. DOI: http://dx.doi.org/10.1017/CBO9780511626722.
  11. Bolotin V.V., Novichkov Yu.N. Mekhanika mnogosloynykh konstruktsiy [Mechanics of Multilayered Stryctures]. Moscow, Mashinostroenie Publ., 1980, 375 p. (In Russian)
  12. Rabinovich A.L. Vvedenie v mekhaniku armirovannykh polimerov [Introduction into Mechanics of Reinforced Polymers]. Moscow, Nauka Publ., 1970, 482 p.
  13. Ellyin F., Xia Z., Zhang Y. Micro/Meso-Modeling of Polymeric Composites with Damage Evolution. Solid Mechanics and Its Applications. 2006, vol. 140, pp. 505—516. DOI: http://dx.doi.org/10.1007/1-4020-4891-2_42.
  14. Turusov R.A. Adgezionnaya mekhanika [Adhesive Mechanics]. Moscow, MGSU Publ., 2015, 230 p. (In Russian)
  15. Bower Allan F. Applied Mechanics of Solids. 1 edition, CRC Press, October 5, 2009, 112 p.
  16. Mallick P.K. Fiber-Reinforced Composites: Materials, Manufacturing, and Design. 3d ed. Taylor & Francis Group, LLC, 2007. 617 p.
  17. Moiseev E.I., Lur’e S.A. Nefedov P.V. Ob usloviyakh sushchestvovaniya resheniya dlya kraevykh zadach v modelyakh adgezionnykh vzaimodeystviy [On the Existence Conditions of Solutions for Boundary Problems in Models of Adhesive Interactions]. Mekhanika kompozitsionnykh materialov i konstruktsiy [Mechanics of Composite Materials and Structures]. 2013, no. 19 (1), pp. 87—96. (In Russian)
  18. Altenbach H., Eremeyev V.A., Lebedev L.P. On the Existence of Solution in the Linear Elasticity with Surface Stresses. Z. Angew. Math. Mech. (ZAMM). 2010, vol. 90 (3), pp. 231—240. DOI: http://dx.doi.org/10.1002/zamm.200900311.
  19. Ma H.M.,Gao X.-L., Reddy J.N. A Microstructure-Dependent Timoshenko Beam Model Based on a Modified Couple Stress Theory. Journal of the Mechanics and Physics of Solids. 2008, vol. 56, no. 12, pp. 3379—3391. DOI: http://dx.doi.org/10.1016/j.jmps.2008.09.007.
  20. Belov P.A., Lur’e S.A. Teoriya ideal’nykh adgezionnykh vzaimodeystviy [Theory of Ideal Adhesive Interactions]. Mekhanika kompozitsionnykh materialov i konstruktsiy [Mechanics of Composite Materials and Structures]. 2007, no. 13 (4), pp. 519—536. (In Russian)

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GENERATION OF A COMPOSITE GLASS-METAL ROD: PRACTICAL RESULTS

Vestnik MGSU 7/2012
  • Gridasova Ekaterina Alexandrovna - Far Eastern Federal University (FEFU) Assistant Lecturer, Department of Mechanics and Mathematical Modeling, Far Eastern Federal University (FEFU), 8 Sukhanova St., Vladivostok, 690950, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Lyubimova Olga Nikolaevna - Far Eastern Federal University (FEFU) Associated Professor, Department of Mechanics and Mathematical Modeling, Far Eastern Federal University (FEFU), Sukhanova St., Vladivostok, 690950, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 136 - 140

Glass has a high compressive strength and low impact strength. The strength of glass in compression is a lot higher than the strength of glass in tension, and it varies within the range of 500-1,250 MPa. Whenever the glass is in compression, it can compete with the properties of metal in terms of its strength. The tensile strength of glass under tension is 30-50 MPa. The reason for that is the fact that the strength of glass is strongly dependent on the state of its surface.
Methods of increasing the strength of glass have been the subject of research projects implemented at Far Eastern Federal University. The objective is to apply compressive stresses that would prevent any defects in the surface layer and harden the surface to improve the glass resistance to mechanical stresses and isolate it from the environment.
Creation of a composite rod made of glass grade C49-1 (3С5Na) and steel E235C (ISO standard) manufactured through the employment of diffusion bonding represents a practical result of the research. Its analysis has proven the presence of full contact, absence of cracks and poor penetration alongside the welding zone. Microscopy methods of analysis have demonstrated the presence of the transition zone in the points of interface of materials. The results of the spectral analysis prove the penetration of Fe-cations into the glass down to the depth of 30 microns. The chemical analysis of the zone of diffusion proves that the crystalline structure, or fayalite (Fe2SiO4), is formed in the glass. The rod strength analysis has demonstrated its high compressive

DOI: 10.22227/1997-0935.2012.7.136 - 140

References
  1. Nikonorov N.V., Evstrop’ev S.K. Opticheskoe materialovedenie: osnovy prochnosti opticheskogo stekla [Optical Material Engineering: Fundamentals of Optical Glass Strength]. St.Petersburg. SPbGU ITMO Publ., 2009, 102 p.
  2. Pikul’ V.V Sposob izgotovleniya tsilindricheskoy obolochki prochnogo korpusa podvodnogo apparata [Method of Manufacturing of the Cylinder-shaped Shell of a High-Strength Hull of a Submersible Craft]. RF Patent ¹ 2337036. Publ. 27.10.2008. Bulletin 30.
  3. Pikul’ V.V. Sposob izgotovleniya steklometallokompozita [Method of Manufacturing of Composite Glass and Metal Material]. RF Patent ¹ 2304117. Publ. 08.10.2007. Bulletin 22.
  4. Gridasova E.A., Lyubimova O.N., Pestov K.N., Kayak G.L. Sposob izgotovleniya steklometallokompozita [Method of Manufacturing of a Composite Glass and Metal Material]. RF Patent ¹ 2428388. Publ.10.09.2011. Bull. ¹ 25.
  5. Gridasova E.A., Lyubimova O.N., Pestov K.N., Kayak G.L. Sposob izgotovleniya steklometallokompozita [Method of Manufacturing of a Composite Glass and Metal Material]. RF Patent ¹ 2428389. Publ.10.09.2011. Bull. ¹ 25.
  6. Lyubimova O. N., Gridasova E.A. Metod uprochneniya stekla pri diffuzionnoy svarke ego s metallom [Method of Glass Strengthening by Diffusion Welding to the Metal]. Svarka i diagnostika materialov [Welding and Diagnostics of Materials]. Moscow, no. 6, 2010, ðð. 31—45.

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