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ROUTINE FE DETERMINATION OF STRESS INTENSITY FACTORS USING A MÜLLER‐BRESLAU INFLUENCE FUNCTION TECHNIQUE
Author(s) -
ÅKesson B. Å.,
Bjarnehed H. L.,
Anderson H. O.,
Josefson B. L.
Publication year - 1995
Publication title -
fatigue and fracture of engineering materials and structures
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.887
H-Index - 84
eISSN - 1460-2695
pISSN - 8756-758X
DOI - 10.1111/j.1460-2695.1995.tb00843.x
Subject(s) - stress intensity factor , function (biology) , intensity (physics) , materials science , stress (linguistics) , mathematical analysis , structural engineering , mechanics , composite material , mathematics , physics , optics , engineering , fracture mechanics , philosophy , linguistics , evolutionary biology , biology
A remarkably simple and accurate one‐step application of the finite element (FE) method is suggested as a means for the designer's routine determination of stress intensity factors in linear fracture mechanics for complicated non‐symmetric geometries. The vector‐valued influence functions (Green functions) introduced here can be seen as a special kind of weight functions. Each of them is numerically found as the displacement field resulting from a certain unit deformation singularity being implanted at the crack tip through a prescribed set of mutual nodal displacements between the crack surfaces. Mode separation is inherent to the procedure. Plane model, mode II and mixed mode I and II numerical examples demonstrate the ease and accuracy of the method. Detailed guidance to the design of the FE mesh at the crack tip is given and is related to accuracy. Any standard FE code can be used. The literature in the field of computational fracture mechanics is surveyed, and some suggestions for further work are made. The present method draws on a classical technique for the calculation of influence lines in structural mechanics. The method is believed to have an added value in that it promotes an overview and understanding of how different load combinations on a given cracked body contribute to a stress intensity factor. Field plots of a calculated influence function are given in one of the examples.