Axisymmetric residual stresses in a solid cylinder of finite length View Full Text


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Article Info

DATE

2022-05-18

AUTHORS

Lesya Postolaki, Yuriy Tokovyy

ABSTRACT

A solution technique is presented for the determination of residual stresses in a finite-length solid cylinder subject to non-uniform axisymmetric distributions of incompatible residual strains. The problem is reduced to the sequential solving of three individual problems: a problem on the determination of residual stresses in an infinitely long cylinder (the basic state) and two auxiliary problems for evaluating the stresses induced by the end-face effects (the disturbed states). The variational method of homogeneous solutions is implemented in order to determine the disturbed states within the framework of two latter problems. The solution technique is verified numerically for typical distribution profiles of incompatible strains depending on both the radial and axial coordinates. The approach can be used to evaluate residual stresses in a solid cylinder of finite length due to the intense thermal treatment. More... »

PAGES

4

References to SciGraph publications

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  • 2020-08-04. Application of the Variational Method of Homogeneous Solutions for the Determination of Axisymmetric Residual Stresses in a Finite Cylinder in JOURNAL OF MATHEMATICAL SCIENCES
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  • 2011-07-06. Axially symmetric temperature stresses in an elastic isotropic cylinder of finite length in JOURNAL OF MATHEMATICAL SCIENCES
  • 2006-03. Determination of the stressed state of main pipelines in the zones of circular welds in MATERIALS SCIENCE
  • 2005. Theory of Elasticity in NONE
  • 1997-08. A nondestructive numerical-experimental method of determining the residual stresses in welded shells of revolution in JOURNAL OF MATHEMATICAL SCIENCES
  • 2012-05-11. Equilibrium of an elastic finite cylinder under axisymmetric discontinuous normal loadings in JOURNAL OF ENGINEERING MATHEMATICS
  • 2008. Lifetime Estimation of Welded Joints in NONE
  • 2001-11. Methods for Determining Residual Welding Stresses and Their Relief (a Review) in MATERIALS SCIENCE
  • 1998-02. The inverse conditionally correct problem of determining the residual stresses in compound welded shells of revoltuion in JOURNAL OF MATHEMATICAL SCIENCES
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10665-022-10221-y

    DOI

    http://dx.doi.org/10.1007/s10665-022-10221-y

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1147955009

    PUBMED

    https://www.ncbi.nlm.nih.gov/pubmed/35601365


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