Abstract
Fracture is a common problem in Marine structures. It is significant to study the crack growth and failure model of brittle materials for preventing brittle damage and protecting the structural safety of marine structures in ocean engineering. There are some limitations on calculating the failure of solid materials using classical continuum mechanics (CCM). Peridynamics (PD) is one form of reconstitution of CCM, which is very suitable for simulating damage and crack propagation. In the present work, two surface effect correction methods are applied in bond-based PD for simulating and capturing the failure patterns experimentally observed in brittle fractures. Then, the efficient and accuracy of the modified BPD are verified. Furthermore, multiple crack interactions in brittle materials for ocean engineering using the extended BPD under dynamic uniaxial and biaxial loading are studied. The results show that not only does the interaction between macro-cracks and micro-cracks affect the growth paths of cracks, but dynamic uniaxial or biaxial loading also significantly affects the multiple cracks propagation patterns.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Tada, N., Uemori, T., Sakamoto, J.: Prediction of the fracture location by tensile tests of gray cast iron based on the dimensional changes of graphite flakes. J. Press. Vessel Technol. 143 (2021)
Wang, Y., Zhou, X., Xu, X.: Numerical simulation of propagation and coalescence of flaws in rock materials under compressive loads using the extended non-ordinary state-based peridynamics. Eng. Fract. Mech. 163, 248–273 (2016)
Zhou, X., Wang, Y., Xu, X.: Numerical simulation of initiation, propagation and coalescence of cracks using the non-ordinary state-based peridynamics. Int. J. Fract. 201(2), 213–234 (2016). https://doi.org/10.1007/s10704-016-0126-6
Paluszny, A., Matthäi, S.K.: Numerical modeling of discrete multi-crack growth applied to pattern formation in geological brittle media. Int. J. Solids Struct. 46, 3383–3397 (2009)
Wu, Z., Wong, L.N.Y.: Frictional crack initiation and propagation analysis using the numerical manifold method. Comput. Geotech. 39, 38–53 (2012)
Moës, N., Dolbow, J., Belytschko, T.: A finite element method for crack growth without remeshing. Int. J. Numer. Meth. Eng. 46, 131–150 (1999)
Pathak, H., Singh, A., Singh, I.V., Yadav, S.K.: A simple and efficient XFEM approach for 3-D cracks simulations. Int. J. Fracture 181, 189–208 (2013)
Zhou, X.P., Shou, Y.D.: Numerical simulation of failure of rock-like material subjected to compressive loads using improved peridynamic method. Int. J. Geomech. 4016086 (2016)
Rabczuk, T., Belytschko, T.: Cracking particles: a simplified meshfree method for arbitrary evolving cracks. Int. J. Numer. Meth. Eng. 61, 2316–2343 (2004)
Rabczuk, T., Zi, G.: A meshfree method based on the local partition of unity for cohesive cracks. Comput. Mech. 39, 743–760 (2007)
Lucy, L.B.: A numerical approach to the testing of the fission hypothesis. Astron. J. 82, 1013–1024 (1977)
Oliver, J., Huespe, A.E., Pulido, M.D.: From continuum mechanics to fracture mechanics: the strong discontinuity approach. Eng. Fract. Mech. 69, 113–136 (2022)
Silling, S.A.: Reformulation of elasticity theory for discontinuities and long-range forces. J. Mech. Phys. Solids 48, 175–209 (2000)
Huang, X., Li, S., **, Y., Yang, D., Su, G., He, X.: Analysis on the influence of Poisson’s ratio on brittle fracture by applying uni-bond dual-parameter peridynamic model. Eng. Fract. Mech. 222, 106685 (2019)
Shen, S., Yang, Z., Han, F., Cui, J., Zhang, J.: Peridynamic modeling with energy-based surface correction for fracture simulation of random porous materials. Theor. Appl. Fract. Mec. 114, 102987 (2021)
Le, Q.V., Bobaru, F.: Surface corrections for peridynamic models in elasticity and fracture. Comput. Mech. 61(4), 499–518 (2017). https://doi.org/10.1007/s00466-017-1469-1
Silling, S.A., Askari, E.: A meshfree method based on the peridynamic model of solid mechanics. Comput. Struct. 83, 1526–1535 (2005)
Ganzenmüller, G.C., Hiermaier, S., May, M.: Improvements to the prototype micro-brittle model of peridynamics. Meshfree Methods for Partial Differential Equations VII, pp. 163–183. Springer (2015)
Madenci, E., Oterkus, E.: Peridynamic Theory and Its Applications. Springer, New York (2014)
Li, S., **, Y., Lu, H., Sun, P., Huang, X., Chen, Z.: Wave dispersion and quantitative accuracy analysis of bond-based peridynamic models with different attenuation functions. Comp. Mater. Sci. 197, 110667 (2021)
Zhou, X., Gu, X., Wang, Y.: Numerical simulations of propagation, bifurcation and coalescence of cracks in rocks. Int. J. Rock Mech. Min. 80, 241–254 (2015)
Acknowledgment
This study was supported by the State Key Laboratory of Ocean Engineering. The authors are also grateful to Prof. Haining Lu for providing guidance on this study. The research was supported by the Hainan Provincial Joint Project of Sanya Yazhou Bay Science and Technology City [Grant No: 2021JJLH0020] and National Natural Science Foundation of China [Grant No: 51979159]. The authors are grateful for the financial support.
The research was supported by the Hainan Provincial Joint Project of Sanya Yazhou Bay Science and Technology City [Grant No: 2021JJLH0020] and National Natural Science Foundation of China [Grant No: 51979159].
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 Harbin Engineering University
About this paper
Cite this paper
Li, S., Lu, H., Yang, J. (2023). Study on Multiple Crack Interactions in Brittle Materials for Ocean Engineering Using Peridynamics. In: Yang, D. (eds) 2023 International Conference on Marine Equipment & Technology and Sustainable Development. METSD 2023. Lecture Notes in Civil Engineering, vol 375. Springer, Singapore. https://doi.org/10.1007/978-981-99-4291-6_5
Download citation
DOI: https://doi.org/10.1007/978-981-99-4291-6_5
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-99-4290-9
Online ISBN: 978-981-99-4291-6
eBook Packages: EngineeringEngineering (R0)