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An alternative version of constructing limit surfaces for anisotropic solids

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Abstract

This paper deals with constructing closed everywhere smooth surfaces in 6D space of symmetric second-rank tensors by means of a conoidal anisotropic transformation of the unit sphere S5. A special case of such transformations is proposed and the surface convexity conditions are pointed out. These surfaces can be utilized in the strength and plasticity theories of isotropic and anisotropic solids.

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References

  1. A. K. Malmeister, “Geometric theory of strength,” Mekh. Kompozitn. Mater., No. 4, 519–534 (1966).

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  3. A. Lagzdinš and A. A. Zilaucs, “A version of anisotropic hardening law for isotropic solids in the theory of plasticity,” Mech. Composite Mater.,29, No. 5, 592–601 (1993).

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Authors and Affiliations

  1. Institute of Polymer Mechanics, USSR

    A. Lagzdiņš

Authors
  1. A. Lagzdiņš
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Additional information

Published in Mekhanika Kompozitnykh Materialov, Vol. 31, No. 4, pp. 488–493, July–August, 1995.

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Lagzdiņš, A. An alternative version of constructing limit surfaces for anisotropic solids. Mech Compos Mater 31, 356–360 (1996). https://doi.org/10.1007/BF00632623

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  • DOI: https://doi.org/10.1007/BF00632623

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