Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Procedure for strength calculation of laminated composite materials under thermomechanical loading conditions

  • 230 Accesses

  • 3 Citations

We analyze the procedure for evaluating the load-carrying capacity of structures using complex-reinforced composite materials at the stages of design and checking calculations for strength. A general procedure for predicting the strength characteristics of laminated composite materials is developed that takes into account the temperature effect. The numerical examples of the implementation of this procedure are provided.

This is a preview of subscription content, log in to check access.


  1. 1.

    A. S. Vol’mir, “Current concepts for application of composite materials in flight vehicles and engines,” Mekh. Compoz. Mater., No. 6, 1049–1056 (1985).

  2. 2.

    A. L. Abibov (Ed.), Composite Materials in Aircraft Structures [in Russian], Mashinostroenie, Moscow (1975).

  3. 3.

    S. N. Kan and I. A. Sverdlov, Strength Analysis of Aircraft [in Russian], Oborongiz, Moscow (1958).

  4. 4.

    I. I. Gol’denblat and V. A. Koptsov, Strength and Plasticity Criteria of Structural Materials [in Russian], Mashinostroenie, Moscow (1971).

  5. 5.

    A. A. Lebedev (Ed.), B. I. Koval’chuk, F. F. Giginyak, and V. P. Lamashevskii, Mechanical Properties of Structural Materials at a Complex Stress State [in Russian], “In Jure” Publishing House, Kiev (2003).

  6. 6.

    L. Brautman and R. Krok (Eds.), Composite Materials (in 8 volumes), Vol. 2: K. Chamis (Ed.), Mechanics of Composite Materials [Russian translation], Mashinostroenie, Moscow (1978).

  7. 7.

    V. V. Vasil’ev, “Some issues of optimal design of thin-walled structures from composite materials,” in: Actual Problems of Aircraft Science and Technology [in Russian], Mashinostroenie, Moscow (1978), pp. 66–77.

  8. 8.

    Ya. S. Karpov, “Structural optimization of composite material for aircraft panels with strength, stability, and deflection restrictions,” Strength Mater., 36, No. 6, 570–581 (2004).

  9. 9.

    Ya. S. Karpov, “Optimization theory of layer stack structure of a composite material,” Tekhnol. Systemy, No. 4 (15), 42–46 (2002).

  10. 10.

    I. F. Obraztsov, V. V. Vasil’ev, and V. A. Bunakov, Optimal Reinforcement of Rotational Shells Made of Composites [in Russian], Mashinostroenie, Moscow (1977).

  11. 11.

    K. L. Reifsnugger and A Hasmith, “Variation in the rigidity of laminated composites as a function of failure-inducing damage mechanism,” in: Strength and Fracture of Composites [in Russian], Proc. 2nd Sov.-Amer. Symp., Zinatne, Riga (1983), pp. 160–167.

  12. 12.

    E. J. Barbero and P. Lonetti, “Damage model for composites defined in terms of available data,” Mech. Comp. Mater. Struct., 8, No. 4, 299–315 (2001).

Download references

Author information

Correspondence to Ya. S. Karpov.

Additional information

Translated from Problemy Prochnosti, No. 4, pp. 154 – 164, July – August, 2010.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Karpov, Y.S., Stavichenko, V.G. Procedure for strength calculation of laminated composite materials under thermomechanical loading conditions. Strength Mater 42, 478–485 (2010). https://doi.org/10.1007/s11223-010-9239-8

Download citation


  • composite material
  • load-carrying capacity
  • strength calculation
  • strength criterion
  • stress-strain state