DESIGNING AND DETAILING OF BUILDING SYSTEMS. MECHANICS IN CIVIL ENGINEERING

Discrete model in the analysis of residual stresses in unidirectional winding cylinders made of fiber-reinforced plastic

Vestnik MGSU 1/2015
  • 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 .
  • Hamed Memaryanfard - Moscow State University of Civil Engineering (MGSU) postgraduate student, Department of Strength of Materials, Moscow State University of Civil Engineering (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 27-35

Today works in cosmos and at great sea depths are becoming very current. In order to execute these works tanks with great mass perfection are needed, which represents the relation of the product of pressure and inner volume to its mass. Usually such tanks are usually produced as a cocoon by winding methods, which can be automated. The simplest model of a cocoon is a cylinder with hemispheric blinds at the edges. The radial stresses arise in thick walled composite cylinders due to anisotropic thermal shrinkage during cooling process after curing. It also can lead to formation of radial cracks. The results of the analyses when a material is simplified to a homogenous orthotropic material show a very small residual radial stress value. In this paper we have used discrete model to evaluate residual radial stresses in thick-walled unidirectional filament wound cylinder and the results were compared to the results of homogenous orthotropic model.

DOI: 10.22227/1997-0935.2015.1.27-35

References
  1. Ekel’chik V.S., Klyunin O.S. Novyy podkhod k sozdaniyu oblegchennykh metallo-plastikovykh ballonov vysokogo davleniya dlya szhatykh gazov [New Approach to Creating Lightweight Plastic High Pressure Cylinders for Compressed Gases]. Voprosy materialovedeniya [Problems of Materials Science]. 2003, no. 2 (34), pp. 26—32. (In Russian)
  2. Turusov R.A., Kuperman A.M. Eksperimental’nye issledovaniya vliyaniya masshtabnogo faktora na uprugo-prochnostnye kharakteristiki odnonapravlennykh kolets iz stekloplastika [Experimental Studies of the Scale Factor Influence on the Elastic-Strength Properties of Unidirectional Fiberglass Rings]. Mekhanika kompozitsionnykh materialov i konstruktsiy [Journal on Composite Mechanics and Design]. 1998, vol. 4, no. 3, pp. 62—69. (In Russian)
  3. Turusov R.A., Korotkov V.N., Rogozinskiy A.K., Kuperman A.M., Sulyaeva Z.P. Tekhnologicheskaya monolitnost’ obolochek iz polimernykh kompozitnykh materialov [Monolithic Technology of the Shells of Polymer Composite Materials]. Mekhanika kompozitnykh materialov [Mechanics of Composite Materials]. 1987, no. 6, pp. 1072—1076. (In Russian)
  4. Plepys A.R., Farris R.J. Evolution of Residual Stresses in Three-Dimensionally Constrained Epoxy Resins. Polymer. 1990, vol. 31, no. 10, pp. 1932—1936. DOI: http://dx.doi.org/10.1016/0032-3861(90)90019-U.
  5. Turusov R.A., Korotkov V.N., Metlov V.V., Rozenberg B.A. Ostatochnye napryazheniya v gomogennykh i armirovannykh polimerakh [Residual Stresses in Homogeneous and Reinforced Polymers]. Ostatochnye tekhnologicheskie napryazheniya : trudy II Vsesoyuznogo simpoziuma [Technological Residual Stresses : Works of the 2nd All-Union Symposium]. Moscow, 1985, pp. 320—325. (In Russian)
  6. Korotkov V.N., Andreevska G.D., Rosenberg B.A. Temperature Stresses in Polymers and Composites. Mechanics of Composites. NY, March 1981, pp. 290—295.
  7. Schapery R.A. Thermal Expansion Coefficients of Composite Materials Based on Energy Principles. J. Composite Mater. 1968, vol. 2, no. 3, pp. 380—404. DOI: http://dx.doi.org/10.1177/002199836800200308.
  8. Greszak L.B. Thermoelastic Properties of Filamentary Composites. Presented at AIAA 6th Structures and Materials Conference. April 1965.
  9. Cairns D.S., Adams D.F. Moisture and Thermal Expansion Properties of Unidirectional Composite Materials and the Epoxy Matrix. Journal of Reinforced Plastics and Composites. 1983, vol. 2, no. 4, pp. 239—255. DOI: http://dx.doi.org/10.1177/073168448300200403.
  10. Mallick P.K. Fiber-Reinforced Composites: Materials, Manufacturing, and Design. 3rd ed. Taylor & Francis Group, LLC, 2007, 617 p.
  11. Southwell R.V. Introduction to the Theory of Elasticity for Engineers and Physicists. Dover Publications Inc., 1970, 509 p.
  12. Halpin J.C., Tsai S.W. Effect of Environment Factors on Composite Materials. Air Force tech. rep. AFML-TR-67-423. June 1969, 62 p.
  13. Hashin Z. Theory of Fiber Reinforced Materials. NASA tech. rep. contract no: NAS1-8818. November 1970.
  14. Jones R.M. Mechanics of Composite Materials. Crc Press, 1998, 538 p.
  15. Turusov R.A., Korotkov V.N., Rogozinskiy A.K. Temperaturnye napryazheniya v tsilindre iz kompozitnogo materiala v protsesse ego okhlazhdeniya i khraneniya [Thermal Stresses in a Cylinder Made of a Composite Material in the Process of Cooling and Storage]. Mekhanika kompozitnykh materialov [Mechanics of Composite Materials]. 1983, no. 2, pp. 290—295. (In Russian)
  16. Wilson J.F., Orgill G. Linear Analysis of Uniformly Stressed Orthotropic Cylindrical Shell. J. Appl. Mech. 1986, vol. 53, no. 2, pp. 249—256. DOI: http://dx.doi.org/10.1115/1.3171748.
  17. Yuan F.G. Analysis of Thick-Section Composite Cylindrical Shells under Hydrostatic Pressure. American Society for Testing and Materials. 1993, vol. 11, pp. 607—632.
  18. Timoshenko S. Theory of Elasticity. Mcgraw-Hill College; 1 edition, 1934, 416 p. (In Russian)
  19. Sadd M.H. Elasticity: Theory, Applications, and Numerics. Elsevier, 2004, 474 p.
  20. Issledovaniya po mekhanike kompozitsionnykh materialov i konstruktsiy [Researches on the Mechanics of Composite Materials and Structures]. Scientific Technical Society named after A.N. Krylov. Leningrad, Sudostroenie Publ., 1981, 94 p. (Materials on experience exchange; issue 344). (In Russian)

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NUMERICAL MODELING OF THE PROBLEM OF DOUBLE-LAYER REINFORCEMENT

Vestnik MGSU 5/2012
  • Nizomov Dzhakhongir Nizomovich - Institute of Geology, Seismic Construction and Seismology Doctor of Technical Sciences, Professor, Associate Member of the Academy of Sciences of the Republic of Tajikistan; Director, Laboratory of Theory of Seismic Stability and Modeling +7 (992) 919-35-57-34, Institute of Geology, Seismic Construction and Seismology, Academy of Sciences of the Republic of Tajikistan, 267 Ayni st., Dushanbe, 734029, Republic of Tajikistan; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Khodzhiboev Abduaziz Abdusattorovich - Tajik Technical University named after academic M.S. Osimi Candidate of Technical Sciences, Associated Professor, Chair, Department of Structural Mechanics and Seismic Resistance of Structures, +7 (992) 918-89-35-14, Tajik Technical University named after academic M.S. Osimi, 10 Akademikov Radzhabovyh St., Dushanbe, 734042, Republic of Tajikistan; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 67 - 71

The article covers the mathematical model and the algorithm of calculation of the double-layer reinforcement based on the method of boundary integral equations developed by the authors. The system of equations, based on discrete representation, is a combination of equations describing each of sub-domains with account for the conditions of compatibility alongside the contact boundaries. The convergence and accuracy of numerical modeling is based on the testing results of the problem under consideration. Results of the numerical solution of the problem of uniaxial tension of the plate that has two layers of reinforcement are provided in the article. The algorithm is implemented by analyzing the stress-strained state of structures of Nurek hydraulic power plant.
The proposed solution is applicable in the lining of tunnels and subterranean structures in rock massifs, as well as galleries arranged in the body of earth dams. It represents two layers of concrete with different values of the modulus of elasticity and Poisson ratio. Tangential stress and reinforcement ring graphs are presented in the article.

DOI: 10.22227/1997-0935.2012.5.67 - 71

References
  1. Brebbiya K., Telles Zh., Vroubel L. Metody granichnykh elementov [Methods of Boundary Elements]. Moscow, Mir Publ., 1987, 524 p.
  2. Nizomov D.N. Metod granichnykh uravneniy v reshenii staticheskikh i dinamicheskikh zadach stroitel’noy mekhaniki [Method of Boundary Elements Applicable for Resolution of Static and Dynamic Problems of Structural Mechanics]. Moscow, ASV Publ., 2000, 282 p.

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