Skip to main content
Log in

Determining the effective thermoelastic characteristics of regularly laminated composite in the asymmetric theory of elasticity

  • Published:
International Applied Mechanics Aims and scope

The asymmetric theory of elasticity is used to model a hybrid laminated composite of regular structure with all phases isotropic. The effective thermoelastic characteristics of the composite are determined. It is shown that the equations derived can be used to determine stress–strain state in all the phases of the composite using the average components of the tensors of force stresses, couple stresses, strains, and wryness in a layered material, which is of fundamental importance for the design of composites based on structural theories of failure

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. S. A. Ambartsumyan, General Theory of Anisotropic Shells [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  2. A. N. Andreev and Yu. V. Nemirovskii, Multilayer Anisotropic Shells and Plates: Bending, Stability, and Vibration [in Russian], Nauka, Novosibirsk (2001).

    Google Scholar 

  3. V. V. Vasil’ev, Mechanics of Composite Structures [in Russian], Mashinostroenie, Moscow (1988).

    Google Scholar 

  4. S. G. Lekhnitskii, Anisotropic Plates [in Russian], GTTI, Moscow (1957).

    Google Scholar 

  5. Yu. V. Nemirovskii and A. P. Yankovskii, “Effective physical and mechanical characteristics of composites unidirectionally reinforced with monotropic fibers. 1. Model of reinforced medium,” Izv. VUZov, Stroit., No. 5, 16–24 (2006).

    Google Scholar 

  6. Yu. V. Nemirovskii and A. P. Yankovskii, “Effective physical and mechanical characteristics of composites unidirectionally reinforced with monotropic fibers. 2. Comparison of calcualted characteristics and experimental data,” Izv. VUZov, Stroit., No. 6, 10–19 (2006).

    Google Scholar 

  7. W. Nowacki, Theory of Elasticity [in Polish], PWN, Warsaw (1970).

    Google Scholar 

  8. V. G. Piskunov and V. E. Verizhenko, Linear and Nonlinear Problems in Design of Layered Structures [in Russian], Budivel’nyk, Kyiv (1986).

    Google Scholar 

  9. A. O. Rasskazov, I. I. Sokolovskaya, and N. A. Shul’ga, Theory and Design of Layered Orthotropic Plates and Shells [in Russian], Vyshcha Shkola, Kyiv (1986).

    Google Scholar 

  10. L. P. Khoroshun, “Relationships between stresses and deformations in lamellar media,” Int. Appl. Mech., 2, No. 2. 9–11 (1966).

    Google Scholar 

  11. L. P. Khoroshun, “Derivation of equations for laminate plates and shells,” Int. Appl. Mech., 14, No. 10, 1021–1034 (1978).

    MATH  MathSciNet  Google Scholar 

  12. L. P. Khoroshun and E. N. Shikula, “Short-term microdamage of a physically nonlinear laminate under simultaneous normal and tangential loads,” Int. Appl. Mech., 43, No. 4, 409–417 (2007).

    Article  Google Scholar 

  13. L. P. Khoroshun and E. N. Shikula, “Mesomechanics of deformation and short-term damage of linear elastic homogeneous and composite materials,” Int. Appl. Mech., 43, No. 6, 591–620 (2007).

    Article  Google Scholar 

  14. L. P. Khoroshun and D. V. Babich, “Stability of plates and shells made of homogeneous and composite materials subject short-term microdamage,” Int. Appl. Mech., 44, No. 3, 239–267 (2008).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yu. V. Nemirovskii.

Additional information

Translated from Prikladnaya Mekhanika, Vol. 45, No. 11, pp. 71–79, November 2009.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nemirovskii, Y.V., Yankovskii, A.P. Determining the effective thermoelastic characteristics of regularly laminated composite in the asymmetric theory of elasticity. Int Appl Mech 45, 1206–1213 (2009). https://doi.org/10.1007/s10778-010-0260-1

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10778-010-0260-1

Keywords

Navigation