Crack Growth Direction in Mixed Mode Loading: A Strain Energy Density Approach
Keywords:Mixed mode Fracture, Crack propagation, Strain energy density, Finite element method (FEM)
AbstractThe crack growth in metallic materials using fast and reliable simulations of 2-D and linear elastic finite element models is investigated. The effect of the stress intensity factor in mode I and II (KI, KII) on the fracture behavior of stainless steel and the associated strain energy density factor in mixed mode crack propagation were studied numerically to determine crack propagation angle Î¸ in linear elastic fracture investigation. In order to implement the determination of the crack propagation direction using the strain energy density criterion S, the numerical finite element program ANSYS was used. ANSYS APDL macros were developed to generate the geometry, material properties, boundary conditions and mesh size of the model for the conducted analyses. To demonstrate the capability of crack propagation trajectories using the proposed method under mixed mode situation, an edge crack specimen was considered with initial crack having the same length but at different inclination angles under a uniaxial tension load. Results obtained from the developed models had a good agreement (average deviation of 4.63%) with the results available in the literatures.
C. E. Inglis, â€œStresses in a plate due to the presnce of cracks and sharp corners,â€ Trans. Inst. Naval Arch., vol. 55. pp. 219â€“239, 1913.
A. A. Griffith, â€œThe Phenomena of Rupture and Flow in Solids,â€ 1920.
P. C. Paris and G. C. Sih, â€œStress analysis of cracks,â€ ASTM International, Bethlehem, Pennsylvania, 1964.
J. J. Mecholsky, â€œFracture mechanics principles,â€ Dent. Mater., vol. 11, no. 2, pp. 111â€“112, 1995.
D. K. McCarthy, â€œNumerical Prediction of Fracture in Composite Materials Using A Modified Strain Energy Density Criterion,â€ 2012.
J. Begley and J. Landes, â€œThe J integral as a fracture criterion,â€ Astm Stp 514. pp. 1â€“23, 1972.
G. C. Sih, Mechanics of fracture initiation and propagation. Kluwer Academic Publishers, 1991.
Z. Yosibash, A. Bussiba, and I. Gilad, â€œFailure criteria for brittle elastic materials,â€ Int. J. Fract., no. 1957, pp. 307â€“333, 2004.
G. C. Sih and B. Macdonald, â€œFracture Mechanics Applied to Engineering Problems-Strain Energy Density Fracture Criterion,â€ Eng. Fract. Mech., vol. vol.6, pp. 361â€“386, 1974.
E. E. Gdoutos, Fracture Mechanics An Introduction, Second Edi. Netherlands: Springer, 2005.
E. E. Gdoutos, Problems of mixed mode crack propagation. Netherlands.: Martinus Nijhoff Publishers, 1984.f mixed mode crack propagation. Netherlands.: Martinus Nijhoff Publishers, 1984.
P. C. Gope, S. P. Sharma, and A. K. Srivastava, â€œPrediction of crack initiation direction for inclined crack under biaxial loading by finite element method,â€ J. Solid Mech., vol. 2, no. 3, pp. 257â€“266, 2010.
â€œANSYS Engineering analysis system. Users manual.â€ ANSYS Inc., Canonsburg (PA), 2015.
Steel Products Manual: Stainless Steels. U.S.A: Iron & Steel Society, 1999.
S. H. Ju, â€œFinite element calculation of stress intensity factors for interface notches,â€ Comput. Methods Appl. Mech. Eng., vol. 199, no. 33â€“36, pp. 2273â€“2280, 2010.
A. Boulenouar, N. Benseddiq, M. Mazari, and N. Benamara, â€œFE Model for Linear-Elastic Mixed Mode Loading: Estimation of Sifs and Crack Propagation,â€ J. Theor. Appl. Mech., vol. 52, no. 2, pp. 373â€“383, 2014.
How to Cite
- Papers must be submitted on the understanding that they have not been published elsewhere (except in the form of an abstract or as part of a published lecture, review, or thesis) and are not currently under consideration by another journal published by any other publisher.
- It is also the authors responsibility to ensure that the articles emanating from a particular source are submitted with the necessary approval.
- The authors warrant that the paper is original and that he/she is the author of the paper, except for material that is clearly identified as to its original source, with permission notices from the copyright owners where required.
- The authors ensure that all the references carefully and they are accurate in the text as well as in the list of references (and vice versa).
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Attribution-NonCommercial 4.0 International that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
- The journal/publisher is not responsible for subsequent uses of the work. It is the author's responsibility to bring an infringement action if so desired by the author.