Comparison of methods for calculating stress intensity factors with quarter-point elements

✍ Scribed by Leslie Banks-Sills; Dov Sherman

• Book ID: 104615519
• Publisher: Springer Netherlands
• Year: 1986
• Tongue: English
• Weight: 725 KB
• Volume: 32
• Category: Article
• ISSN: 1573-2673
• DOI: 10.1007/bf00019788

✦ Synopsis

The quarter-point quadrilateral element is employed with various methods for calculating the stress intensity factor in order to provide guidelines for a "best" method. These methods include displacement extrapolation, J-integral and Griffith's energy calculations, and the stiffness derivative technique. Three geometries are considered: a central crack, a single edge crack and double edge cracks in a rectangular sheet. For these cases, it is observed that the stiffness derivative method yields the most accurate results, whereas displacement extrapolation is the easiest method to implement and still yields reasonable accuracy.

* In [3], employing the quarter-point element and displacement extrapolation for a central crack in a rectangular plate, it was shown that the quadrilateral element yields a difference of 1.6 per cent with the solution of Isida [16], and the collapsed quadrilateral element yields a difference of 0.6 per cent. This latter percentage was in error; it should have been 1.2 per cent.