MIXED MODE TWO DIMENSIONAL WEIGHT FUNCTIONS FOR THE SUBSURFACE ELLIPTICAL CRACKS UNDER NORMAL LOADINGS

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GHAJAR RAHMATOLLAH; ALIZADEH KAKLAR JAVAD

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Journal: Modares Mechanical Engineering Year:2014 | Volume:14 | Issue:10 Page(s): 50-58

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Title

MIXED MODE TWO DIMENSIONAL WEIGHT FUNCTIONS FOR THE SUBSURFACE ELLIPTICAL CRACKS UNDER NORMAL LOADINGS

Author(s)

GHAJAR RAHMATOLLAH | ALIZADEH KAKLAR JAVAD | Issue Writer Certificate

Keywords

ELLIPTICAL SUBSURFACE CRACKQ2

TWO DIMENSIONAL WEIGHT FUNCTIONQ2

COUPLING OF THE FRACTURE MODESQ2

MIXED MODEQ2

Abstract

ELLIPTICAL SUBSURFACE CRACKs are one of the probable types of cracks that occur in engineering structures. Due to the non-symmetrical geometry with respect to the crack surface, COUPLING OF THE FRACTURE MODES occurs in an ELLIPTICAL SUBSURFACE CRACK and so, the crack under normal loading will experience all fracture modes. Mode III caused by the coupling effect under normal loading is negligible whereas mode II is significant. In this paper, MIXED MODE TWO DIMENSIONAL WEIGHT FUNCTIONs of the ELLIPTICAL SUBSURFACE CRACKs parallel to the surface are derived for aspect ratios of a=0.2, 0.4, 0.6, 0.8, 1.0 and ratios of crack depth to crack length of =0.05, 0.06, 0.08, 0.1, 0.14, 0.2, 0.3, 0.5, 1.0. MIXED MODE stress intensity factors under uniform normal loading are used as reference stress intensity factors. By curve fitting on the calculated weight functions coefficients, the derived weight functions are able to be used for any α and. To verify the weight functions, the stress intensity factors of all points of the crack front are calculated under linear, elliptic paraboloid and trigonometric paraboloid stress distributions and compared to the finite element results. Comparison of the results shows high accuracy with mean relative error less than 7%. Using derived weight functions, MIXED MODE stress intensity factors of the subsurface elliptical crack can be determined for any α and and under any normal stress distributions.

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APA: Copy

GHAJAR, RAHMATOLLAH, & ALIZADEH KAKLAR, JAVAD. (2014). MIXED MODE TWO DIMENSIONAL WEIGHT FUNCTIONS FOR THE SUBSURFACE ELLIPTICAL CRACKS UNDER NORMAL LOADINGS. MODARES MECHANICAL ENGINEERING, 14(10), 50-58. SID. https://sid.ir/paper/177819/en

Vancouver: Copy

GHAJAR RAHMATOLLAH, ALIZADEH KAKLAR JAVAD. MIXED MODE TWO DIMENSIONAL WEIGHT FUNCTIONS FOR THE SUBSURFACE ELLIPTICAL CRACKS UNDER NORMAL LOADINGS. MODARES MECHANICAL ENGINEERING[Internet]. 2014;14(10):50-58. Available from: https://sid.ir/paper/177819/en

IEEE: Copy

RAHMATOLLAH GHAJAR, and JAVAD ALIZADEH KAKLAR, “MIXED MODE TWO DIMENSIONAL WEIGHT FUNCTIONS FOR THE SUBSURFACE ELLIPTICAL CRACKS UNDER NORMAL LOADINGS,” MODARES MECHANICAL ENGINEERING, vol. 14, no. 10, pp. 50–58, 2014, [Online]. Available: https://sid.ir/paper/177819/en

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