Limit analysis of a cylindrical tube of a random inhomogeneous plastic material under internal pressure

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We examine the effects of random spatial fluctuations in the yield limit on the strength of a cylindrical tube subjected to internal pressure in plane strain conditions. The analysis is conducted along the lines laid in [1], where a generalization of the method of slip-lines to random media was outlined. The basic role in this formulation is played by a Representative Volume Element (RVE) of scale δ = L/d, where L is the scale of observation while d is the size of a single grain in a polycrystalline medium. Since the microstructure is random, the yield condition of an RVE at a given δ is random and, hence, the approximating continuum is a random medium. Due to the presence of material inhomogeneities in random media, the deterministic characteristics (slip-lines) of the homogeneous medium problems are replaced by forward evolution cones representing the ranges of scatter in stochastic characteristics. Consequently, the logarithmic spirals of the deterministic problem are randomly distorted lines and extend the external radius of the plastic zone. The tube has thus to be made thicker in order to withstand the same limit internal pressure as the one made of a homogeneous material described by the average 〈k〉. The analysis may easily be extended to an arbitrary axisymmetric traction on the hole.

Original languageEnglish (US)
Title of host publicationRecent Advances in Structural Mechanics - 1992
PublisherPubl by ASME
Pages87-92
Number of pages6
Volume248
ISBN (Print)079181131X
StatePublished - 1992
Externally publishedYes
EventWinter Annual Meeting of the American Society of Mechanical Engineers - Anaheim, CA, USA
Duration: Nov 8 1992Nov 13 1992

Other

OtherWinter Annual Meeting of the American Society of Mechanical Engineers
CityAnaheim, CA, USA
Period11/8/9211/13/92

ASJC Scopus subject areas

  • Industrial and Manufacturing Engineering
  • Mechanical Engineering

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  • Cite this

    Starzewski, M. O., & Setyabudhy, R. (1992). Limit analysis of a cylindrical tube of a random inhomogeneous plastic material under internal pressure. In Recent Advances in Structural Mechanics - 1992 (Vol. 248, pp. 87-92). Publ by ASME.