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On the computation of stress fields on polygonal domains with V-notches

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Author

Summary, in English

The interior stress problem is solved numerically for a single-edge notched specimen under uniaxial load. The algorithm is based on a modification of a Fredholm second-kind integral equation with compact operators due to Muskhelishvili. Several singular basis functions for each of the seven corners in the geometry enable high uniform resolution of the stress field with a modest number of discretization points. As a consequence, notch stress intensity factors can be computed directly from the solution. This is an improvement over other procedures where the stress field is not resolved in the corners and where notch stress intensity factors are computed in a roundabout way via a path-independent integral. Numerical examples illustrate the superior stability and economy of the new scheme.

Department/s

  • Harmonic Analysis and Applications

Publishing year

2002

Language

English

Pages

433-453

Publication/Series

International Journal for Numerical Methods in Engineering

Volume

53

Issue

2

Document type

Journal article

Publisher

John Wiley & Sons Inc.

Topic

  • Mathematics

Status

Published

Research group

  • Harmonic Analysis and Applications
  • Harmonic Analysis and Applications

ISBN/ISSN/Other

  • ISSN: 1097-0207