Geometry Calibration Factors of Modified Arcan Fracture Test for Welded Joint

In this study the mixed mode fracture mechanics parameters were investigated for high tensile steel butt welded joint based on modified Arcan test and finite element analysis was used to evaluate the effect of crack length on fracture criterion. The nondimensional stress intensity factors, strain energy release rates and Jintegral energy on crack tip were obtained for various in-plane loading combinations on Arcan specimen starting from pure mode-I to pure mode-II loading conditions. The specimen and apparatus were modeled by finite element method and analyzed under various loading angles (between 0 to 90 degrees with 15 degree interval) to simulate the pure mode-I, II and mixed mode fracture. Since the analytical results are independent from elasticity modules for isotropic materials, therefore the results in elastic fields can be used for Arcan specimens. The main objective of this study was to evaluate the geometric calibration factors for modified Arcan test specimen in order to obtain fracture toughness under mixed mode loading conditions.

Authors:

• S. R. Hosseini
• N. Choupani
• A. R. M. Gharabaghi

Keywords:

• Arcan specimen
• Geometric calibration factors
• Mixed Mode
• Fracture mechanics.

References:

[1] Lawn BR, Wilshaw TR. Fracture of brittle solids. London: Cambridge
University Press, 1975.
[2] Michael A. Sutton, Michael L. Boone, Fashang Ma, Jeffrey D. Helm, A
combined modeling-experimental study of the crack opening
displacement fracture criterion for characterization of stable crack
growth under mixed mode I/II loading in thin sheet materials;
Engineering Fracture Mechanics 66 (2000) 171-185
[3] Wilkins, D. J.; Eisenmann, J. R.; Camin, R. A.; Margolis, W. S.;
Benson, R. A.; Characterizing Delamination Growth in Graphite-Epoxy,
Damage in Composite Materials, ASTM STP 775, K. L. Reifsnider, Ed.,
American Society for Testing and Materials, Philadelphia, 1982, pp.
168-183.
[4] American Society for Testing and Materials. 2007. Standard E399-06,
Standard Test Method for Linear-Elastic Plane-Strain Fracture
Toughness KIC of Metallic Materials. Annual Book of ASTM
Standards. Philadelphia: ASTM.
[5] Russell, A. J.; On the Measurement of Mode II Interlaminar Fracture
Energies, DREP Materials Report. 82-0, Defense Research
Establishment Pacific, Victoria, December, 1982.
[6] O'Brien, T. K.; Mixed-Mode Strain-Energy-Release Rate Effects on
Edge Delamination of Composites, Effects of Defects in Composite
Materials, ASTM STP 836, D. J. Wilkins, Ed., American Society for
Testing and Materials, Philadelphia, 1984, pp. 125-142.
[7] Johnson, W. S.; Stress Analysis of the Crack-lap-Shear Specimen: An
ASTM Round-Robin, Journal of Testing and Evaluation, JTEVA, Vol.
15, No.6, November 1987, pp. 303-324.
[8] Reeder, J. R.; and Crews, J. H., Jr.; The Mixed-Mode Bending Method
for Delamination Testing, AIAA Journal, Vol. 28, No.7, July 1990, pp.
1270-1276.
[9] Bradley, W. L.; and Cohen, R. N.; Matrix Deformation and Fracture in
Graphite-Reinforced Epoxies, Delamination and Debonding of
Materials, ASTM STP 876, W. S. Johnson, Ed., American Society for
Testing and Materials, Philadelphia, 1985, pp. 389-410.
[10] Russell, A J.; and Street, K. N.; Moisture and Temperature Effects on
the Mixed-Mode Delamination Fracture of Unidirectional
Graphite/Epoxy, Delamination and Debonding of Materials, ASTM STP
876, W. S. Johnson, Ed., American Society for Testing and Materials,
Philadelphia, 1985, pp. 349-370.
[11] Hashemi, S.; Kinloch, A. J.; and Williams J. G.; Interlaminar Fracture of
Composite Materials, 6th ICCM & 2nd ECCM Conference Proceedings,
Vol. 3, London, July 1987, pp. 3.254-3.264.
[12] Arcan, M.; Hashin, Z.; and Voloshin, A., A Method to Produce Uniform
Plane- Stress States with Applications to Fiber-Reinforced Materials,
Experimental Mechanics, Vol. 28, April 1978, pp. 141-146.
[13] Naghdali Choupani. "Experimental and numerical investigation
of the mixed mode delamination in Arcan laminated
specimens." Material science and technology, volume 478: 229-
242,2008.
[14] ABAQUS user-s manual, version 6.5. Pawtucket, USA: Hibbit,
Karlsson and Sorensen, HKS Inc; 2004.