An exact semi-analytic solution for residual stresses and strains within a thin hollow disc of pressure-sensitive material subject to thermal loading

Sergei Alexandrov, Yeau-Ren Jeng, Evgenii Lomakin

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

There is considerable current interest in the development of constitutive equations for pressure-dependent plastic materials. In particular, in contrast to classical plasticity there is no commonly accepted relation to connect stress and strain or strain rate for such materials. Analytic and semi-analytic solutions are convenient to compare qualitative features of boundary value problems solved for different models. Such comparative studies can be useful to choose this or that model for specific applications. Analytic and semi-analytic solutions are also necessary to verify numerical codes. In the present paper, a new semi-analytic solution for a thin hollow disc subject to thermal loading is developed. A numerical method is only necessary to solve transcendental equations. The constitutive equations for connecting the plastic portion of the strain rate tensor and the stress tensor consist of the Drucker-Prager yield criterion and its associated flow rule. Therefore, the main distinguished feature of the solution is that the material is plastically compressible.

Original languageEnglish
Pages (from-to)775-794
Number of pages20
JournalMeccanica
Volume49
Issue number4
DOIs
Publication statusPublished - 2014 Jan 1

Fingerprint

constitutive equations
strain rate
residual stress
hollow
Residual stresses
plastics
Constitutive equations
Tensors
Strain rate
stress tensors
plastic properties
boundary value problems
Plastics
tensors
Boundary value problems
Plasticity
Numerical methods
Hot Temperature

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Mechanics of Materials
  • Condensed Matter Physics

Cite this

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An exact semi-analytic solution for residual stresses and strains within a thin hollow disc of pressure-sensitive material subject to thermal loading. / Alexandrov, Sergei; Jeng, Yeau-Ren; Lomakin, Evgenii.

In: Meccanica, Vol. 49, No. 4, 01.01.2014, p. 775-794.

Research output: Contribution to journalArticle

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