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Experimental and numerical determination of critical stress intensity factor of aluminum curved thin sheets under tensile stress

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Abstract

We determined the fracture toughness of aluminum curved thin sheets using tensile stress tests and finite element method. We applied Linear elastic fracture mechanics (LEFM) and Feddersen procedure to evaluate stress intensity factor of the samples with central wire-cut cracks and fatigue cracks with different lengths to investigate the notch radius effect. Special fixture design was utilized to establish uniform stress distribution at the crack zone. Less than 9 % difference was found between the wire-cut and the fatigue cracked samples. Since generating central fatigue crack with different lengths required so much effort, wire-cut cracked samples were used to determine critical stress intensity factor. Finite element analysis was also performed on one-quarter of the specimen using both the singular Borsum elements and the regular isoparametric elements to further investigate fracture toughness of the samples. It was observed that the singular elements presented better results than the isoparametric ones. A slight difference was also found between the results obtained from finite element method using singular elements and the experimental results.

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Correspondence to Majid Heidarvand.

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Recommended by Associate Editor Nam-Su Huh

Majid Heidarvand is a graduate student in Mechanical Engineering, University of Tehran, Tehran, Iran. His research interests are fracture mechanics and finite element analysis.

Nasser Soltani is a Full Professor and the Dean of College of Engineering at University of Tehran, Tehran, Iran. He received Ph.D. degree at Iowa State University, USA in 1989. His research interests are creep, fatigue and fracture mechanics as well as experimental stress analysis.

Farshid Hajializadeh is a graduate student in Mechanical Engineering, University of Tehran, Tehran, Iran. His research interests are finite element analysis and metal forming.

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Heidarvand, M., Soltani, N. & Hajializadeh, F. Experimental and numerical determination of critical stress intensity factor of aluminum curved thin sheets under tensile stress. J Mech Sci Technol 31, 2185–2195 (2017). https://doi.org/10.1007/s12206-017-0414-8

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  • DOI: https://doi.org/10.1007/s12206-017-0414-8

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