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Calculation Model for the Analysis of Strength and Stability of Anisogrid Mesh Structures under Intensive Thermal Force

Abstract

The procedure for the numerical study of the stress-strain state and the stability of the mesh structures of polymer composite materials under intensive force and thermal effects is considered. A simplified mathematical model of the thermomechanical behavior of the mesh structure is proposed, taking into account the reversible and irreversible changes in the physicome-chanical properties of the material during heating. The design process of computational algorithms is described.

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References

  1. 1.

    Yu. S. Solomonov, V. V. Vasilyev, and V. P. Georgievsky, “Composite Materials in Rocket and Aerospace Engineering,” Trudy Mosk. Inst. Teplotech. 8 (1), 7–25 (2006).

    Google Scholar 

  2. 2.

    V. A. Barynin, V. A. Bunakov, V. V. Vasilyev, and B. G. Mayorov, “Composite Mesh Constructions (review),” Vopr. Obor. Teck. Ser. 15. Iss. 1 (123)–2 (124), 9–16 (2001).

    Google Scholar 

  3. 3.

    V. V. Vasilyev, V. A. Barynin, A. F. Razin, S. A. Petrokovsky, et al., “Anisogride Composite Structures — Development and Application to Space Technology,” Comp. Nanostruct. No. 3, 38–50 (2009).

  4. 4.

    Yu. N. Rabotnov, Mechanics of a Deformable Solid (Nauka, Moscow, 1988) [in Russian].

    MATH  Google Scholar 

  5. 5.

    V. O. Kaledin, A. D. Ulyanov, and Vl. O. Kaledin, “The Final Element of the Timoshenko Shear Beam with Regard to Temperature Deformations and Material Burning out” Nauch. Tekh. Vest. Povolg. 2017. No. 5, 141–144 (2017).

    Google Scholar 

  6. 6.

    S. A. Ambartsumyan, Theory of Anisotropic Plates: Durability, Stability and Vibration (Nauka, Moscow, 1987) [in Russian].

    Google Scholar 

  7. 7.

    J. Robinson, Understanding Finite Element Stress Analysis (Robinson&Associates, 1981).

    Google Scholar 

  8. 8.

    S. Yu. Eremenko, Finite-Element Methods in Mechanics of Deformable Bodies (Osnova, Kharkov, 1991) [in Russian].

    MATH  Google Scholar 

  9. 9.

    K.-J. Bate, Finite Element Methods (FIZMATLIT, Moscow, 2010) [in Russian].

    Google Scholar 

  10. 10.

    O. Zenkevich, Method of Finite Elements in Engineering (Mir, Mocsow, 1975) [in Russian].

    Google Scholar 

  11. 11.

    Yu. I. Dimitrienko, V. V. Minin, and E. K. Syzdykov, “Numerical Modeling of Heat and Mass Transfer Processes and Stress Kinetics in Thermodestructive Composite Shells,” Vich. Tech. 17 (2), 43–59 (2012).

    Google Scholar 

  12. 12.

    V. L. Strakhov, A. A. Filipenko, A. V. Ostrik, A. B. Mitkevich, et al., “Complex Model of the Interaction of Composites with Radiation and Gas Flow,” Inzh. Fiz. J. 73 (1), 67–74 (2000) [J. Engng Phys. Therm. (Engl. Transl.) 73 (1), 65–72 (2000)].

    Google Scholar 

  13. 13.

    V. O. Kaledin, Y. S. Kryukova, N. V. Nagaitseva, and E. V. Ravkovskaya, “Software System for Algorithmization of the Numerical Solution of Continuum Mechanics Problems,” Izv. Altai Gos. Univ. 81 (1), 161–164 (2014).

    Article  Google Scholar 

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Correspondence to Vl. O. Kaledin.

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Original Russian Text © V.O. Kaledin, Vl.O. Kaledin, A.D. Ulianov, 2018, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2018, No. 4, pp. 134–144.

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Kaledin, V.O., Kaledin, V.O. & Ulianov, A.D. Calculation Model for the Analysis of Strength and Stability of Anisogrid Mesh Structures under Intensive Thermal Force. Mech. Solids 53, 470–478 (2018). https://doi.org/10.3103/S0025654418040131

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Keywords

  • anisogrid mesh sheaths
  • polymer composites
  • thermo-stressed structures
  • mathematical modeling