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Method of calculating the strength of mine pipes formed from materials that behave differently under tension and compression

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Abstract

Constitutive equations of nonlinear deformation and a strength criterion are proposed on the basis of three invariants of the stress tensor and certain constants. Special physical relationships are derived, and a method of determining the constants is addressed. The results of the computations are compared with experimental data for a complex stressed state. The statement and method used to solve edge problems numerically in designing mine pipes formed from materials that behave differently in tension and compression are given. The effect of the extent to which the strengths differ on the stress-strain state and strength of the pipes is established.

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Literature cited

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Authors and Affiliations

  1. V. I. Lenin Khar'kov Polytechnic Institute, USSR

    A. A. Zolochevskii

Authors
  1. A. A. Zolochevskii
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Translated from Problemy Prochnosti, No. 3, pp. 86–91, March, 1990.

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Zolochevskii, A.A. Method of calculating the strength of mine pipes formed from materials that behave differently under tension and compression. Strength Mater 22, 422–428 (1990). https://doi.org/10.1007/BF00768204

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  • DOI: https://doi.org/10.1007/BF00768204

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