Skip to main content
Log in

Elastic solids with different moduli in tension and compression

  • Published:
Journal of Elasticity Aims and scope Submit manuscript

Abstract

A new approach is given to the theory of non-linear elastic materials which have different behaviour in tension and compression. Two applications are made to incompressible non-linear materials using general forms for the strain energy functions. The linear form of the theory is shown to be equivalent to that used by previous writers.

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. Timoshenko, S. P., Strength of Materials (1933).

  2. Shapiro, G. S., On deformations of bodies with different resistances to tension and compression. Proc. Acad. Sci. USSR, Eng. Journ. Mech. of Solids. (MTT) No. 2 (1966).

  3. Ambartsumian, S. A. and Khachatrian, A. A., Basic equations of the theory of elasticity for materials which resist tension and compression in a different manner. Proc. Acad. Sci. USSR, Eng. Journ. Mech. of Solids, (MTT) No. 2 (1966).

  4. Ambartsumian, S. A., Equations of the plane problem of the elastic theory of materials with different moduli in tension and compression. Proc. Acad. Sci. Arm. SSR, Mechanics 19, No. 2 (1966) 1–19.

    Google Scholar 

  5. Ambartsumian, S. A. and Khachatrian, A. A., On the question of different moduli theory of elasticity. Report Acad. Sci. Arm. SSR, Mechanics 18, No. 4 (1969) 198–202.

    Google Scholar 

  6. Isabekian, N. H. and Khachatrian, A. A., On the plane stress problem of different moduli theory of elasticity in an anisotropic body. Proc. Acad. Sci. Arm. SSR, Mechanics, 22, No. 5 (1969).

    Google Scholar 

  7. Mkrtichian, J. Z., Calculation of compound hollow cylinders, made of different moduli elasticity. Proc. Acad. Sci. Arm. SSR, Mechanics 23, No. 4 (1970).

    Google Scholar 

  8. Matchenko, M. M. and Tolokonnikov, L. A., On non-linear relations of different moduli theory of elasticity. Collections of works on the theory of elasticity. Tula Poly. Inst, Tula (1968).

  9. Tolokonnikov, L. A., A variant of different moduli theory of elasticity. Mech. Polymers. No. 2 (1969).

  10. Mkrtichian, R. E., On a model of a medium hetero-resistant to tension and compression. Proc. Acad. Sci. Arm. SSR, Mechanics, 23, No. 5 (1970) 37–47.

    Google Scholar 

  11. Mkrtichian, R. E., Large elastic deformations of an incompressible medium hetero-resistant to tension and compression. Proc. Acad. Sci. Arm. SSR, Mechanics, 25, No. 1 (1972) 28–70.

    Google Scholar 

  12. Sarkisian, M. S., On the theory of elasticity of isotropic bodies with different resistances to tension and compression. Proc. Acad. Sci. USSR, Eng. Journ. Mech. of Solids (MTT) No. 5 (1971).

  13. Wesolowski, Z., Elastic material with different elastic constants in two regions of variability of deformation. Arch. of Mech. Polish Acad. Sci. 21, No. 4 (1969) 449–468.

    Google Scholar 

  14. Schwartz, R. T. and Schwarts, H. S., Characteristics of boron fibers and boron-fiber-reinforced plastic composites. AIAA Journal, 5, No. 2 (1967), 289–295.

    Google Scholar 

  15. Spencer, A. J. M., Theory of invariants. In continuum physics. Vol. I (ed. A. C. Eringen) Acad. Press. (1971) 239.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Green, A.E., Mkrtichian, J.Z. Elastic solids with different moduli in tension and compression. J Elasticity 7, 369–386 (1977). https://doi.org/10.1007/BF00041729

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00041729

Keywords

Navigation