A note concerning power-type constitutive equations of deformation and fracture of solids

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Abstract

The applicability of the power-type constitutive equations in mechanics of deformation and fracture of solids is related to a deep physical property of the process under consideration: its self-similarity. This self-similarity is, however, an incomplete one, so the power exponents cannot be determined from the dimensional considerations only.

References (10)

  • R.W. Bailey
  • Yu.N. Rabotnov

    Creep Problems in Structural Members

    (1969)
  • A.S. Vavakin et al.

    Izvestia AN SSSR, Mechanics of Solids

    (1975)
  • M. Parvin et al.

    J. Mater. Sci.

    (1975)
  • A.A. Il'yushin

    Plasticity

    (1948)
There are more references available in the full text version of this article.

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