Analysis of stress concentrations in plates with rectangular openings by a combined conformal mapping - Finite element approach

A. Louhghalam, Takeru Igusa, C. Park, S. Choi, K. Kim

Research output: Contribution to journalArticle

Abstract

Plates with rectangular openings develop stress concentrations under bending. While these stresses can be determined using finite elements, in many problems this would be difficult because a high density mesh would be needed in the neighborhood of every opening corner. In this paper, it is shown how a complex-variable conformal mapping approach can be numerically coupled with the finite element method to analyze these corner stresses. This approach can be used even with relatively coarse meshes where the finite element results, by themselves, do not resolve the stress concentrations. In essence, the method relies on finite element analysis to obtain information on the stress field in a region surrounding the plate opening; this information is subsequently used to set up the parameters of the conformal mapping approach to obtain the near field stresses at the opening corners.

Original languageEnglish (US)
Pages (from-to)1991-2004
Number of pages14
JournalInternational Journal of Solids and Structures
Volume48
Issue number13
DOIs
StatePublished - Jun 15 2011

Fingerprint

Conformal mapping
conformal mapping
stress concentration
Stress Concentration
Conformal Mapping
Stress concentration
Finite Element
Mesh
mesh
Complex Variables
Stress Field
Near-field
Finite element method
complex variables
Resolve
Finite Element Method
stress distribution
near fields
finite element method

Keywords

  • Complex variable
  • Conformal mapping
  • Plate bending
  • Rectangular hole
  • Regression
  • Stress concentration

ASJC Scopus subject areas

  • Modeling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Cite this

Analysis of stress concentrations in plates with rectangular openings by a combined conformal mapping - Finite element approach. / Louhghalam, A.; Igusa, Takeru; Park, C.; Choi, S.; Kim, K.

In: International Journal of Solids and Structures, Vol. 48, No. 13, 15.06.2011, p. 1991-2004.

Research output: Contribution to journalArticle

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