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Mechanics in Engineering ›› 2004, Vol. 26 ›› Issue (5): 0-0.doi: 10.6052/1000-0992-2003-262

• Mechanics in engigeering •    

ANALYSIS OF SINGULARITY PROBLEMS BASED ON NON-CONFORMING

  

  • Received:2003-06-19 Revised:2004-01-16 Online:2004-10-10 Published:2004-10-10

Abstract: In this paper a non-conforming finite element eigen-analysis method based on displacement is developed to study the singular stress and displacement fields surrounding a wedge tip. The formula is different from the existing finite element eigen-analysis methods for asymptotic fields near the crack tip. The element is non-conforming one, and the singular transformation technique is not used in the assumption of displacement fields surrounding the wedge tip. This paper presents some illustrative evaluating examples of asymptotic singular fields surrounding arbitrary wedges and junction tips. All calculations show that the present method needs fewer elements, yields more accurate results, and can be applied more extensively.

Key words: linear elastic fracture, wedge body, stress singularities,