Title On the computation of stress fields on polygonal domains with V-notches
Authors Johan Helsing, Anders Jonsson
Alternative Location http://dx.doi.org/10.1002/n...
Publication International Journal for Numerical Methods in Engineering
Year 2002
Volume 53
Issue 2
Pages 433 - 453
Document type Article
Status Published
Quality controlled Yes
Language eng
Publisher John Wiley & Sons, Ltd.
Abstract 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.

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