2D and 3D numerical simulation of fatigue crack growth path and life predictions of a linear elastic
References
- Al Laham S, Branch SI. Stress intensity factor and limit load handbook. Gloucester, Volume 3. UK: British Energy Generation Limited; 1998.
- Tada H, Paris PC, Irwin GR, Tada H. The stress analysis of cracks handbook, Volume 130. New York
- Sih, G.; Liebowitz, H. Mathematical Fundamentals. In Fracture, Academic Press New York: 1968; Vol. 2, pp. 67–190.
- Hellan K. Introduction to fracture mechanics. McGraw-Hill; New York, 1985.
- Barsom J, Rolfe S. Fracture and fatigue in structure: Application of fracture mechanics. Philadelphia, PA: American Society for Testing and Materials; 1999.
- Hasan, S.; Akhtar, N. Dugdale model for three equal collinear straight cracks: An analytical approach. Theoretical and Applied Fracture Mechanics 2015, 78, 40–50.
- Hasan, S.; Akhtar, N. Mathematical model for three equal collinear straight cracks: A modified Dugdale approach. Strength, Fracture and Complexity 2015, 9, 211–232.
- Kumar S, Singh I, Mishra B, Singh A. New enrichments in XFEM to model dynamic crack response of 2-D elastic solids. Int J Impact Eng. 2016;87:198–211.
- Pandey V, Singh I, Mishra B, Ahmad S, Rao AV, Kumar V. A new framework based on continuum damage mechanics and XFEM for high cycle fatigue crack growth: ASME Press; 2000.
- Alshoaibi AM, Fageehi YA. 2D finite element simulation of mixed mode fatigue crack propagation for CTS specimen. J Mater Res Technol. 2020;9:7850–61.
- Li X, Li H, Liu L, Liu Y, Ju M, Zhao J. Investigating the crack initiation and propagation mechanism in brittle rocks using grain-based finite-discrete element method. Int J Rock Mech Min Sci. 2020;127:104219.
- Leclerc W, Haddad H, Guessasma M. On the suitability of a discrete element method to simulate cracks initiation and propagation in heterogeneous media. Int J Solids Struct. 2017;108:98–114.
- Shao Y, Duan Q, Qiu S. Adaptive consistent element-free Galerkin method for phase-field model of brittle fracture. Comput Mech. 2019;64:741–67.
- Kanth SA, Harmain G, Jameel A. Modeling of nonlinear crack growth in steel and aluminum alloys by the element free galerkin method. Mater Today Proc. 2018;5:18805–14.
- Huynh HD, Nguyen MN, Cusatis G, Tanaka S, Bui TQ. A polygonal XFEM with new numerical integration for linear elastic fracture mechanics. Eng Fract Mech. 2019;213:241–63.
- Surendran M, Natarajan S, Palani G, Bordas SP. Linear smoothed extended finite element method for fatigue crack growth simulations. Eng Fract Mech. 2019;206:551–64.
- Rozumek D, Marciniak Z, Lesiuk G, Correia J. Mixed mode I/II/III fatigue crack growth in S355 steel. Procedia Struct Integr. 2017;5:896–903.
- Dekker R, van der Meer F, Maljaars J, Sluys L. A cohesive XFEM model for simulating fatigue crack growth under mixed-mode loading and overloading. Int J Numer Methods Eng. 2019;118:561–77.
- Rezaei S, Wulfinghoff S, Reese S. Prediction of fracture and damage in micro/nano coating systems using cohesive zone elements. Int J Solids Struct. 2017;121:62–74.
- Xu W, Wu X. Weight functions and strip-yield model analysis for three collinear cracks. Eng Fract Mech. 2012;85: 73–87.
- Zhang W, Tabiei A. An efficient implementation of phase field method with explicit time integration. J Appl Comput Mech. 2020;6:373–82.
- Dirik H, Yalçinkaya T. Crack path and life prediction under mixed mode cyclic variable amplitude loading through XFEM. Int J Fatigue. 2018;114:34–50.
- Demir O, Ayhan AO, İriç S. A new specimen for mixed mode-I/II fracture tests: Modeling, experiments and criteria development. Eng Fract Mech. 2017;178:457–76.
- Zhang R, Guo R. Determination of crack tip stress intensity factors by singular Voronoi cell finite element model. Eng Fract Mech. 2018;197:206–16.
- Belytschko T, Black T. Elastic crack growth in finite elements with minimal remeshing. Int J Numer Methods Eng. 1999;45:601–20.
- Bergara A, Dorado J, Martin-Meizoso A, Martínez-Esnaola J. Fatigue crack propagation in complex stress fields: Experiments and numerical simulations using the Extended Finite Element Method (XFEM). Int J Fatigue. 2017;103:112–21.
- Demir O, Ayhan AO, Sedat I, Lekesiz H. Evaluation of mixed mode-I/II criteria for fatigue crack propagation using experiments and modeling. Chinese J Aeronaut 2018;31:1525–34.
- Sajith S, Murthy K, Robi P. Experimental and numerical investigation of mixed mode fatigue crack growth models in aluminum 6061-T6. Int J Fatigue. 2020;130:105285.
- Alshoaibi AM. Finite element procedures for the numerical simulation of fatigue crack propagation under mixed mode loading. Struct Eng Mech. 2010;35:283–99.
- Alshoaibi AM. Comprehensive comparisons of two and three dimensional numerical estimation of stress intensity factors and crack propagation in linear elastic analysis. Int J Integr Eng. 2019;11:45–52.
- Fageehi YA, Alshoaibi AM. Numerical simulation of mixed-mode fatigue crack growth for compact tension shear specimen. Adv Mater Sci Eng. 2020;1–14.
https://doi.org/10.1155/2020/5426831 - Chen H, Wang Q, Zeng W, Liu G, Sun J, He L, et al. Dynamic brittle crack propagation modeling using singular edge-based smoothed finite element method with local mesh rezoning. Eur J Mech A Solids 2019;76:208–23.
- Gomes G, Miranda AC. Analysis of crack growth problems using the object-oriented program bemcracker2D. Frattura ed Integrità Strutturale 2018;12:67–85.
- Fageehi YA, Alshoaibi AM. Nonplanar crack growth simulation of multiple cracks using finite element method. Adv Mater Sci Eng. 2020; 1–12.
- Alshoaibi AM. Numerical modeling of crack growth under mixed-mode loading. Appl Sci. 2021;11:2975.
- Paris P, Erdogan F. A critical analysis of crack propagation laws; J. Basic Eng. Dec 1963, 85(4): 528–53337.
- Coffin L. Cyclic deformation and fatigue of metals. Fatigue and Endurance of Metals [Russian translation], Moscow; 1963. 257–72.
- Wöhler A. Versuche zur Ermittlung der auf die Eisenbahnwagenachsen einwirkenden Kräfte und die Widerstandsfähigkeit der Wagen-Achsen. Zeitschrift für Bauwesen. 1860;10:583–614.
- Bjørheim F. Practical comparison of crack meshing in ANSYS mechanical APDL 19.2. Norway: University of Stavanger; 2019.
- Erdogan F, Sih G. On the crack extension in plates under plane loading and transverse shear. J Basic Eng. 1963;85:519–525.
- Hussain M, Pu S, Underwood J. Strain energy release rate for a crack under combined mode I and mode II. In Proceedings of the Fracture analysis: Proceedings of the 1973 national symposium on fracture mechanics, Part II; West Conshohocken, PA, 1974.
- Nuismer R. An energy release rate criterion for mixed mode fracture. Int J Fract. 1975;11:245–50.
- Lee Y-L, Pan J, Hathaway R, Barkey M. Fatigue testing and analysis: Theory and practice, Volume 13. Burlington, Mass.: Butterworth-Heinemann, 2005.
- Irwin GR. Analysis of stresses and strains near the end of a crack transversing a plate. Trans ASME Ser E J Appl Mech. 1957;24:361–4.
- Bashiri AH, Alshoaibi AM. Adaptive finite element prediction of fatigue life and crack path in 2D structural components. Metals. 2020;10:1316.
- Rice JR. A path independent integral and the approximate analysis of strain concentration by notches and cracks. J Appl Mech. 1968;35:379–86.
- Alshoaibi AM. Finite element simulation of fatigue life estimation and crack path prediction of two dimensional structures components. HKIE Trans. 2013;15:1–6.
- Alshoaibi AM. An adaptive finite element framework for fatigue crack propagation under constant amplitude loading. Int J Appl Sci Eng. 2015;13:261–70.
- Alshoaibi AM. A two dimensional simulation of crack propagation using adaptive finite element analysis. J Comput Appl Mech. 2018;49:335.
- Alshoaibi AM, Hadi M, Ariffin A. Two-dimensional numerical estimation of stress intensity factors and crack propagation in linear elastic analysis. Struct Durability Health Monit. 2007;3:15.
- Knowles JK, Sternberg E. On a class of conservation laws in linearized and finite elastostatics. California Institute of Technology, Pasadena Division of Engineering and Applied Science; 1971.
- Liu Y, Li Y, Xie WJ. Modeling of multiple crack propagation in 2-D elastic solids by the fast multipole boundary element method. Eng Fract Mech. 2017;172:1–16.
- Ingraffea AR, Grigoriu M. Probabilistic fracture mechanics: A validation of predictive capability. Cornell University Ithaca, NY, Department of Structural Engineering; 1990.
- Ma W, Liu G, Wang W. A coupled extended meshfree – Smoothed meshfree method for crack growth simulation. Theor Appl Fract Mech. 2020;107:102572.
- Bittencourt T, Wawrzynek P, Ingraffea A, Sousa J. Quasi-automatic simulation of crack propagation for 2D LEFM problems. Eng Fract Mech. 1996;55:321–34.
Language: English
Page range: 285 - 297
Submitted on: Sep 3, 2021
Accepted on: Oct 7, 2021
Published on: Dec 3, 2021
Published by: Wroclaw University of Science and Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
Keywords:
Related subjects:
© 2021 Abdullateef H. Bashiri, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.