Analytic stress intensity factors for finite elastic disk using symplectic expansion

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalNot applicablepeer-review

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Author(s)

  • A. Y T Leung
  • Xinsheng Xu
  • Zhenhuan Zhou
  • Y. F. Wu

Detail(s)

Original languageEnglish
Pages (from-to)1866-1882
Journal / PublicationEngineering Fracture Mechanics
Volume76
Issue number12
Publication statusPublished - Aug 2009

Abstract

An analytic method to determine the stress intensity factors of finite elastic disk in polar coordinates is introduced with extension to various geometric domains using least-square method. It first finds the symplectic eigenfunctions after expressing the governing equilibrium equations in a Hamiltonian form for variable separation. The displacements and stresses are expanded by the symplectic eigenfunctions with coefficients determined from the boundary conditions. The stress intensity factors are actually the first two coefficients of the series and no post-processing is required. The higher coefficient gives the T-stress. Examples for discontinuous boundary conditions are included and new results are given. © 2009 Elsevier Ltd. All rights reserved.

Research Area(s)

  • Analytic stress intensity factors, Hamiltonian formulation, Mixed boundary conditions, Symplectic expansion

Citation Format(s)

Analytic stress intensity factors for finite elastic disk using symplectic expansion. / Leung, A. Y T; Xu, Xinsheng; Zhou, Zhenhuan; Wu, Y. F.

In: Engineering Fracture Mechanics, Vol. 76, No. 12, 08.2009, p. 1866-1882.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalNot applicablepeer-review