Technical Papers
May 30, 2022

A Multiscale Crack Iteration and Remeshing Model for Low-Cycle Crack Propagation Evaluation

Publication: Journal of Engineering Mechanics
Volume 148, Issue 8

Abstract

A multiscale crack iteration and remeshing model was proposed and implemented to predict the low-cycle crack propagation behavior for steel. Crack propagation behavior was quantified by fatigue indicator parameters (FIPs) in the crystal plasticity model. Once the crack propagation rate and direction were determined in the grain, the crack seam was inserted into the model by remeshing in postprocessing. To further relax the fatigue driving force and reduce the impact of FIP variation, an iteration procedure, in which sufficient computational cycles were preselected and iterated during the simulation, was applied to the mesoscale model. Additionally, the boundary conditions of the mesoscale model were obtained from the macroscale model by the multiscale simulation method. A three-point bending fatigue test was carried out to validate the iteration and remeshing model. The experimental results showed two cracks generated from the upper and lower surfaces during the fatigue test, and the crack propagation rate increased as the crack grew toward the center region. Meanwhile, the numerical model, including two initiated cracks, was implemented corresponding to the central region in the experimental specimen. By applying the boundary condition from the macroscale simulation associated with the experiment, the two cracks grew during the iteration and remeshing. The simulation results showed two cracks growing gradually toward the region with a reasonable number of cycles. The zigzag pattern simulated from the mesoscale model also qualitatively correlates well with the observation from experimental results.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

All data, models, and code generated or used during the study appear in the published article.

Acknowledgments

This material is based on work supported by the National Science Foundation (NSF Grant CMMI-1537121) and Research Excellence Program (REP) from the Office of the Vice President for Research (OVPR) of the University of Connecticut. This support is greatly appreciated. Any opinions, findings, and conclusions, or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the sponsors.

References

Asaro, R. J. 1983. “Crystal plasticity.” J. Appl. Mech. 50 (4b): 921–934. https://doi.org/10.1115/1.3167205.
Asaro, R. J., and J. R. Rice. 1977. “Strain localization in ductile single crystals.” J. Mech. Phys. Solids 25 (5): 309–338. https://doi.org/10.1016/0022-5096(77)90001-1.
ASTM. 2015. “Standard test method for flexural properties of unreinforced and reinforced plastics and electrical insulation materials. ASTM D790-03. West Conshohocken, PA: ASTM.
Božić, Ž., S. Schmauder, M. Mlikota, and M. Hummel. 2014. “Multiscale fatigue crack growth modelling for welded stiffened panels.” Fatigue Fract. Eng. Mater. Struct. 37 (9): 1043–1054. https://doi.org/10.1111/ffe.12189.
Breitbarth, E., and M. Besel. 2017. “Energy based analysis of crack tip plastic zone of AA2024-T3 under cyclic loading.” Int. J. Fatigue 100 (Part 1): 263–273. https://doi.org/10.1016/j.ijfatigue.2017.03.029.
Briffod, F., T. Shiraiwa, and M. Enoki. 2017. “Microstructure modeling and crystal plasticity simulations for the evaluation of fatigue crack initiation in α-iron specimen including an elliptic defect.” Mater. Sci. Eng., A 695 (May): 165–177. https://doi.org/10.1016/j.msea.2017.04.030.
Castelluccio, G. M., and D. L. McDowell. 2012. “Assessment of small fatigue crack growth driving forces in single crystals with and without slip bands.” Int. J. Fract. 176 (1): 49–64. https://doi.org/10.1007/s10704-012-9726-y.
Castelluccio, G. M., and D. L. McDowell. 2014a. “A mesoscale approach for growth of 3D microstructurally small fatigue cracks in polycrystals.” Int. J. Damage Mech. 23 (6): 791–818. https://doi.org/10.1177/1056789513513916.
Castelluccio, G. M., and D. L. McDowell. 2014b. “Mesoscale modeling of microstructurally small fatigue cracks in metallic polycrystals.” Mater. Sci. Eng., A 598 (Mar): 34–55. https://doi.org/10.1016/j.msea.2014.01.015.
Castelluccio, G. M., and D. L. McDowell. 2015. “Microstructure-sensitive small fatigue crack growth assessment: Effect of strain ratio, multiaxial strain state, and geometric discontinuities.” Int. J. Fatigue 82 (Part 3): 521–529. https://doi.org/10.1016/j.ijfatigue.2015.09.007.
Correia, J. A. F. O., S. Blasón, A. M. P. De Jesus, A. F. Canteli, P. M. G. P. Moreira, and P. J. Tavares. 2016. “Fatigue life prediction based on an equivalent initial flaw size approach and a new normalized fatigue crack growth model.” Eng. Fail. Anal. 69 (Nov): 15–28. https://doi.org/10.1016/j.engfailanal.2016.04.003.
Díaz, A., J. M. Alegre, and I. I. Cuesta. 2016. “A review on diffusion modelling in hydrogen related failures of metals.” Eng. Fail. Anal. 66 (Aug): 577–595. https://doi.org/10.1016/j.engfailanal.2016.05.019.
Dougherty, L. M., E. K. Cerreta, E. A. Pfeif, C. P. Trujillo, and G. T. Gray. 2007. “The impact of peak shock stress on the microstructure and shear behavior of 1018 steel.” Acta Mater. 55 (18): 6356–6364. https://doi.org/10.1016/j.actamat.2007.07.051.
Fatemi, A., and D. F. Socie. 1988. “A critical plane approach to multiaxial fatigue damage including out-of-phase loading.” Fatigue Fract. Eng. Mater. Struct. 11 (3): 149–165. https://doi.org/10.1111/j.1460-2695.1988.tb01169.x.
Geuzaine, C., and J.-F. Remacle. 2017. “A three-dimensional finite element mesh generator with built-in pre- and post-processing facilities.” Int. J. Numer. Meth. Eng. 79 (11): 1309–1331. https://doi.org/10.1002/nme.2579.
Golański, G., and S. Mroziński. 2013. “Low cycle fatigue and cyclic softening behaviour of martensitic cast steel.” Eng. Fail. Anal. 35 (Dec): 692–702. https://doi.org/10.1016/j.engfailanal.2013.06.019.
Grilli, N., K. G. F. Janssens, and H. Van Swygenhoven. 2015. “Crystal plasticity finite element modelling of low cycle fatigue in FCC metals.” J. Mech. Phys. Solids 84 (Nov): 424–435. https://doi.org/10.1016/j.jmps.2015.08.007.
Hill, R., and J. R. Rice. 1972. “Constitutive analysis of elastic-plastic crystals at arbitrary strain.” J. Mech. Phys. Solids 20 (6): 401–413. https://doi.org/10.1016/0022-5096(72)90017-8.
Hu, Z., K. Lynne, and F. Delfanian. 2015. “Characterization of materials’ elasticity and yield strength through micro-/nano-indentation testing with a cylindrical flat-tip indenter.” J. Mater. Res. 30 (4): 578–591. https://doi.org/10.1557/jmr.2015.4.
Huang, Y. 1991. A user-material subroutine incorporating single crystal plasticity in the ABAQUS finite element program. Cambridge, MA: Harvard Univ.
Jones, R., L. Molent, and S. Pitt. 2008. “Similitude and the Paris crack growth law.” Int. J. Fatigue 30 (10–11): 1873–1880. https://doi.org/10.1016/j.ijfatigue.2008.01.016.
Jono, M., A. Sugeta, and Y. Uematsu. 2001. “Atomic force microscopy and the mechanism of fatigue crack growth.” Fatigue Fract. Eng. Mater. Struct. 24 (12): 831–842. https://doi.org/10.1046/j.1460-2695.2001.00458.x.
Kim, E. Y., W. C. Woo, Y. U. Heo, B. S. Seong, J. Y. Choi, and S. H. Choi. 2016. “Effect of kinematic stability of the austenite phase on phase transformation behavior and deformation heterogeneity in duplex stainless steel using the crystal plasticity finite element method.” Int. J. Plast. 79 (Apr): 48–67. https://doi.org/10.1016/j.ijplas.2015.12.009.
Knezevic, M., B. Drach, M. Ardeljan, and I. J. Beyerlein. 2014. “Three dimensional predictions of grain scale plasticity and grain boundaries using crystal plasticity finite element models.” Comput. Methods Appl. Mech. Eng. 277 (Aug): 239–259. https://doi.org/10.1016/j.cma.2014.05.003.
Li, L., L. Shen, and G. Proust. 2015. “Fatigue crack initiation life prediction for aluminium alloy 7075 using crystal plasticity finite element simulations.” Mech. Mater. 81 (Feb): 84–93. https://doi.org/10.1016/j.mechmat.2014.11.004.
Li, Y., H. Wang, and D. Gong. 2012. “The interrelation of the parameters in the Paris equation of fatigue crack growth.” Eng. Fract. Mech. 96 (Dec): 500–509. https://doi.org/10.1016/j.engfracmech.2012.08.016.
Méric, L., P. Poubanne, and G. Cailletaud. 1991. “Single crystal modeling for structural calculations: Part 1—Model presentation.” J. Eng. Mater. Technol. Trans. ASME 113 (1): 162–170. https://doi.org/10.1115/1.2903374.
Mokaberi, A., R. Derakhshandeh-Haghighi, and Y. Abbaszadeh. 2015. “Fatigue fracture analysis of gas turbine compressor blades.” Eng. Fail. Anal. 58 (Part 1): 1–7. https://doi.org/10.1016/j.engfailanal.2015.08.026.
Motham, K., S. Khamsuk, H. Miura, and A. S. Anasyida. 2018. “Influent of soaking time in liquid nitrogen on microstructure and mechanical properties of AISI 1018 low carbon steel processed by cryorolling.” J. Phys. Conf. Ser. 1082: 012067. https://doi.org/10.1088/1742-6596/1082/1/012067.
Paris, P., and F. Erdogan. 1963. “A critical analysis of crack propagation laws.” J. Fluids Eng. Trans. ASME 85 (4): 528–533. https://doi.org/10.1115/1.3656900.
Proudhon, H., J. Li, F. Wang, A. Roos, V. Chiaruttini, and S. Forest. 2016. “3D simulation of short fatigue crack propagation by finite element crystal plasticity and remeshing.” Int. J. Fatigue 82 (Part 2): 238–246. https://doi.org/10.1016/j.ijfatigue.2015.05.022.
Qiao, H., M. R. Barnett, and P. D. Wu. 2016. “Modeling of twin formation, propagation and growth in a Mg single crystal based on crystal plasticity finite element method.” Int. J. Plast. 86 (Nov): 70–92. https://doi.org/10.1016/j.ijplas.2016.08.002.
Quey, R., P. R. Dawson, and F. Barbe. 2011. “Large-scale 3D random polycrystals for the finite element method: Generation, meshing and remeshing.” Comput. Methods Appl. Mech. Eng. 200 (17–20): 1729–1745. https://doi.org/10.1016/j.cma.2011.01.002.
Romanova, V., R. Balokhonov, E. Emelianova, M. Pisarev, and E. Dymnich. 2020. “Numerical study of the texture effect on deformation-induced surface roughening in titanium polycrystals.” Eng. Fail. Anal. 110 (Mar) : 104437. https://doi.org/10.1016/j.engfailanal.2020.104437.
Rovinelli, A., M. D. Sangid, H. Proudhon, Y. Guilhem, R. A. Lebensohn, and W. Ludwig. 2018. “Predicting the 3D fatigue crack growth rate of small cracks using multimodal data via Bayesian networks: In-situ experiments and crystal plasticity simulations.” J. Mech. Phys. Solids 115 (Jun): 208–229. https://doi.org/10.1016/j.jmps.2018.03.007.
Shirani, M., and G. Härkegård. 2011. “Fatigue life distribution and size effect in ductile cast iron for wind turbine components.” Eng. Fail. Anal. 18 (1): 12–24. https://doi.org/10.1016/j.engfailanal.2010.07.001.
Shyam, A., and W. W. Milligan. 2005. “A model for slip irreversibility, and its effect on the fatigue crack propagation threshold in a nickel-base superalloy.” Acta Mater. 53 (3): 835–844. https://doi.org/10.1016/j.actamat.2004.10.036.
Simha, N. K., F. D. Fischer, G. X. Shan, C. R. Chen, and O. Kolednik. 2008. “J-integral and crack driving force in elastic-plastic materials.” J. Mech. Phys. Solids 56 (9): 2876–2895. https://doi.org/10.1016/j.jmps.2008.04.003.
Sugeta, A., Y. Uematsu, A. Hashimoto, and M. Jono. 2004. “Atomic force microscopy of fatigue crack growth behavior in the low K region.” Int. J. Fatigue 26 (11): 1159–1168. https://doi.org/10.1016/j.ijfatigue.2004.04.001.
Sun, C. T., and Z.-H. Jin. 2012. “Crack tip plasticity.” In Fracture mechanics, edited by C. T. Sun and Z.-H. Jin, 123–169. Boston: Academic Press.
Suzuki, H., and A. J. Mcevily. 1979. “Microstructural effects on fatigue crack growth in a low carbon steel.” Metall. Trans. A 10 (4): 475–481. https://doi.org/10.1007/BF02697075.
Tanaka, K., Y. Akiniwa, Y. Nakai, and R. P. Wei. 1986. “Modelling of small fatigue crack growth interacting with grain boundary.” Eng. Fract. Mech. 24 (6): 803–819. https://doi.org/10.1016/0013-7944(86)90266-3.
Tchoffo Ngoula, D., M. Madia, H. T. Beier, M. Vormwald, and U. Zerbst. 2018. “Cyclic J-integral: Numerical and analytical investigations for surface cracks in weldments.” Eng. Fract. Mech. 198 (Jul): 24–44. https://doi.org/10.1016/j.engfracmech.2017.06.023.
Voothaluru, R., and C. R. Liu. 2014. “A crystal plasticity based methodology for fatigue crack initiation life prediction in polycrystalline copper.” Fatigue Fract. Eng. Mater. Struct. 37 (6): 671–681. https://doi.org/10.1111/ffe.12152.
Wu, W., J. Owino, A. Al-Ostaz, and L. Cai. 2014. “Applying periodic boundary conditions in finite element analysis.” In Proc., Simulia Community Conf., 1–937. Johnston, Rhode Island: Dassault Systemes SIMULIA.
Yuan, H., W. Zhang, G. M. Castelluccio, J. Kim, and Y. Liu. 2018. “Microstructure-sensitive estimation of small fatigue crack growth in bridge steel welds.” Int. J. Fatigue 112 (Jul): 183–197. https://doi.org/10.1016/j.ijfatigue.2018.03.015.
Yuan, H., W. Zhang, J. Kim, and Y. Liu. 2017. “A nonlinear grain-based fatigue damage model for civil infrastructure under variable amplitude loads.” Int. J. Fatigue 104 (Nov): 389–396. https://doi.org/10.1016/j.ijfatigue.2017.07.026.
Zhang, L., L. Zhao, R. Jiang, and C. Bullough. 2020. “Crystal plasticity finite-element modelling of cyclic deformation and crack initiation in a nickel-based single-crystal superalloy under low-cycle fatigue.” Fatigue Fract. Eng. Mater. Struct. 43 (8): 1769–1783. https://doi.org/10.1111/ffe.13228.
Zhu, D., W. Zhang, and Z. Ding. 2020a. “Atomistic simulation of short crack growth in correlation with fatigue indicator parameter.” J. Aerosp. Eng. 33 (5): 04020063. https://doi.org/10.1061/(ASCE)AS.1943-5525.0001184.
Zhu, D., W. Zhang, and Z. Ding. 2022. “Preliminary experimental investigation of loading sequence effects on low-cycle bending fatigue.” J. Aerosp. Eng. 35 (2): 04021125. https://doi.org/10.1061/(ASCE)AS.1943-5525.0001380.
Zhu, D., W. Zhang, H. Yuan, and X. Huang. 2020b. “3D grain-based mesoscale modeling of short fatigue crack growth for bridge weldments considering crack-front evolution.” J. Eng. Mech. 146 (2): 04019133. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001720.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 148Issue 8August 2022

History

Received: Oct 14, 2021
Accepted: Mar 15, 2022
Published online: May 30, 2022
Published in print: Aug 1, 2022
Discussion open until: Oct 30, 2022

Permissions

Request permissions for this article.

Authors

Affiliations

Dongping Zhu, S.M.ASCE
Graduate Student, Dept. of Civil and Environmental Engineering, Univ. of Connecticut, Storrs, CT 06269.
Associate Professor, Dept. of Civil and Environmental Engineering, Univ. of Connecticut, Storrs, CT 06269 (corresponding author). ORCID: https://orcid.org/0000-0001-8364-9953. Email: [email protected]
Zhixia Ding, S.M.ASCE
Graduate Student, Dept. of Civil and Environmental Engineering, Univ. of Connecticut, Storrs, CT 06269.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share