Abstract
Failures of components and structures are often related to the presence of notches of different shapes. Damage modelling techniques have been proven capable of modelling the crack initiation and propagation in ductile materials (such as Al alloys). The Gurson–Tvergaard–Needleman (GTN) method and extended finite-element method (XFEM) are compared against original experiments to study the crack initiation and propagation processes in aluminium specimens with different notch shapes (V-shape, U-shape and square). Two regimes are considered in this study: quasi-static and impact uniaxial tensile loading. Results show that the load-bearing capability predicted with the two methods is somewhat lower compared to experiments; still, the crack shapes were predicted correctly, with the exception of the square-notch case, for which XFEM was unable to predict the correct shape due to limitations in the model formulation. This study provides information useful for the design of components with stress raisers that are exposed to different loading regimes and shows limitations in both the GTN- and XFEM-based approaches that in many cases underestimate the load-bearing capacity.
Similar content being viewed by others
References
Abaqus Documentation, Version 6.13, Dassault Systèmes, Vélizy-Villacoublay, France (2013)
Ali N., Jamshid M.: Simulation of impact energy in functionally graded steels. Comp. Mater. Sci. 50, 1187–1196 (2011)
Anvari M., Liu J., Thaulow C.: Dynamic ductile fracture in aluminum round bars: experiments and simulations. Int. J. Fract. 143, 317–332 (2007)
Champlin J., Zakrajsek J.: Influence of notch severity on the impact fracture behavior of aluminum alloy 7055. Mater. Des. 20, 331–341 (1999)
Gurson A.L.: Continuum theory of ductile rupture by void nucleation and growth: part 1—yield criteria and flow rules for porous ductile media. J. Eng. Mater. Technol. 99, 2–15 (1977)
He M., Li F., Wang Z.: Forming limit stress diagram prediction of aluminum alloy 5052 based on GTN model parameters determined by in situ tensile test. Chin. J. Aeronaut. 24, 378–386 (2011)
Kiran R., Khandelwal K.: Gurson model parameters for ductile fracture simulation in ASTM A992 steels. Fatigue Fract. Eng. Mater. Struct. 37, 171–183 (2012)
Kumar S., Singh I.V., Mishra B.K.: Numerical investigation of stable crack growth in ductile materials using XFEM. Proc. Eng. 64, 652–660 (2013)
Moës N., Belytschko T.: Extended finite element method for cohesive crack growth. Eng. Fract. Mech. 69, 813–833 (2002)
Moës N., Dolbow J., Belytschko T.: A finite element method for crack growth without remeshing. Int. J. Numer. Methods Eng. 46, 131–150 (1999)
Nazari A., Mohandesi J.: Simulation of impact energy in functionally graded steels. Comput. Mater. Sci. 50, 1187–1196 (2011)
Needleman A., Tvergaard V.: An analysis of ductile rupture in notched bars. J. Mech. Phys. Solids 32, 461–490 (1984)
Ruzicka J., Spaniel M., Prantl A., Dzugan J., Kuzelka J., Moravec M.: Identification of ductile damage parameters in the abaqus. Bull. Appl. Mech. 8, 89–92 (2012)
Seabra M.R.R., Cesarde Sa J.M.A., Šuštarič P., Rodič T.: Some numerical issues on the use of XFEM for ductile fracture. Comput. Mech. 50, 611–629 (2012)
Seabra M.R.R., Cesarde Sa J.M.A., Šuštarič P., Rodič T.: Damage driven crack initiation and propagation in ductile metals using XFEM. Comput. Mech. 52, 161–179 (2013)
Sun M., Packer J.A.: Charpy V-notch impact toughness of cold-formed rectangular hollow sections. J. Constr. Steel Res. 97, 114–126 (2014)
Tvergaard V.: On localization in ductile materials containing spherical voids. Int. J. Fract. 18, 237–252 (1980)
Xue Z., Pontin M.G., Zok F.W., Hutchinson J.W.: Calibration procedures for a computational model of ductile fracture. Eng. Fract. Mech. 77, 492–509 (2010)
Zuo J., Sutton M.A., Deng X.: Basic studies of ductile failure processes and implications for fracture prediction. Fatigue Fract. Eng. Mater. Struct. 27, 231–243 (2003)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Schiavone, A., Abeygunawardana-Arachchige, G. & Silberschmidt, V.V. Crack initiation and propagation in ductile specimens with notches: experimental and numerical study. Acta Mech 227, 203–215 (2016). https://doi.org/10.1007/s00707-015-1425-0
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00707-015-1425-0