Top

Acta Mechanica

Published in:

27-11-2023 | Original Paper

Phase-field fracture analysis of heterogeneous materials based on homogenization method

Authors: Jihai Yuan, Song He, Changping Chen, Lei Wang

Published in: Acta Mechanica | Issue 2/2024

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

A homogenization-based phase-field method is introduced to systematically investigate fracture behavior of heterogeneous materials in this research. The construction of a homogeneous medium equivalent to a heterogeneous one is fulfilled by employing different homogenization methods. In this way, the fracture response of heterogeneous materials can be obtained by fracture analysis of homogeneous materials. On the one hand, the proposed method provided a new technique to study the influence of mesoscopic information of heterogeneous materials on its macroscopic fracture behavior. On the other hand, the fine meshing required for directly solving the fracture problem of heterogeneous materials can be avoided. The proposed technique can reproduce both the mechanical force response and crack path with good accuracy. In the numerical examples, the effect of mesoscopic information of periodically heterogeneous material and porous medium on their fracture behavior is investigated in detail. Results show that the proposed method is efficient and reliable and has the potential in fracture analysis of heterogeneous materials.

previous article Electromechanical field analysis of PN junctions in bent composite piezoelectric semiconductor beams under shear forces

next article Stabilization of hypersonic boundary layer by combining micro-blowing and a porous coating

LeBlanc, J., Shukla, A., Rajapakse, Y.D.S.: Dynamic failure of composite materials. J. Dyn. Behav. Mater. 4(3), 257–257 (2018). https://doi.org/10.1007/s40870-018-0171-5CrossRef

Zhang, P., Hu, X., Bui, T.Q., Yao, W.: Phase field modeling of fracture in fiber reinforced composite laminate. Int. J. Mech. Sci. 161–162, 105008 (2019). https://doi.org/10.1016/j.ijmecsci.2019.07.007CrossRef

Lancioni, G., Alessi, R.: Modeling micro-cracking and failure in short fiber-reinforced composites. J. Mech. Phys. Solids 137, 103854 (2020). https://doi.org/10.1016/j.jmps.2019.103854MathSciNetCrossRef

Li, J., Zong, B.Y., Wang, Y.M., Zhuang, W.B.: Experiment and modeling of mechanical properties on iron matrix composites reinforced by different types of ceramic particles. Mater. Sci. Eng. A 527(29–30), 7545–7551 (2010). https://doi.org/10.1016/j.msea.2010.08.029CrossRef

Bourdin, B., Francfort, G.A., Marigo, J.J.: Numerical experiments in revisited brittle fracture. J. Mech. Phys. Solids 48(4), 797–826 (2000). https://doi.org/10.1016/S0022-5096(99)00028-9ADSMathSciNetCrossRef

Francfort, G.A., Marigo, J.J.: Revisiting brittle fracture as an energy minimization problem. J. Mech. Phys. Solids 46(8), 1319–1342 (1998). https://doi.org/10.1016/S0022-5096(98)00034-9ADSMathSciNetCrossRef

Wu, J.Y., Nguyen, V.P., Nguyen, C.T., Sutula, D., Sinaie, S., Bordas, S.: Phase-field modelling of fracture. Adv. Appl. Mech. 53, 1–183 (2020). https://doi.org/10.1016/bs.aams.2019.08.001CrossRef

Yuan, J.H., Mao, Y.Q., Chen, C.P.: Multiple-phase-field modeling for fracture of composite materials. Mech. Adv. Mater. Struc. 29(28), 7476–7490 (2021). https://doi.org/10.1080/15376494.2021.2000081CrossRef

Schöller, L., Schneider, D., Herrmann, C., Prahs, A., Nestler, B.: Phase-field modeling of crack propagation in heterogeneous materials with multiple crack order parameters. Comput. Methods Appl. Mech. Eng. (2022). https://doi.org/10.1016/j.cma.2022.114965MathSciNetCrossRef

10.

Nguyen, T.T., Yvonnet, J., Bornert, M., Chateau, C.: Initiation and propagation of complex 3D networks of cracks in heterogeneous quasi-brittle materials: direct comparison between in situ testing-microCT experiments and phase field simulations. J. Mech. Phys. Solids 95, 320–350 (2016). https://doi.org/10.1016/j.jmps.2016.06.004ADSCrossRef

11.

Nguyen, T.T., Yvonnet, J., Zhu, Q.Z., Bornert, M., Chateau, C.: A phase field method to simulate crack nucleation and propagation in strongly heterogeneous materials from direct imaging of their microstructure. Eng. Fract. Mech. 139, 18–39 (2015). https://doi.org/10.1016/j.engfracmech.2015.03.045CrossRef

12.

Nguyen, T.T., Yvonnet, J., Zhu, Q.Z., Bornert, M., Chateau, C.: A phase-field method for computational modeling of interfacial damage interacting with crack propagation in realistic microstructures obtained by microtomography. Comput. Methods Appl. Mech. Eng. 312, 567–595 (2016). https://doi.org/10.1016/j.cma.2015.10.007ADSMathSciNetCrossRef

13.

Yang, Z.J., Li, B.B., Wu, J.Y.: X-ray computed tomography images based phase-field modeling of mesoscopic failure in concrete. Eng. Fract. Mech. 208, 151–170 (2019). https://doi.org/10.1016/j.engfracmech.2019.01.005CrossRef

14.

Xia, L., Yvonnet, J., Ghabezloo, S.: Phase field modeling of hydraulic fracturing with interfacial damage in highly heterogeneous fluid-saturated porous media. Eng. Fract. Mech. 186, 158–180 (2017). https://doi.org/10.1016/j.engfracmech.2017.10.005CrossRef

15.

Nguyen, T.T., Waldmann, D., Bui, T.Q.: Role of interfacial transition zone in phase field modeling of fracture in layered heterogeneous structures. J. Comput. Phys. 386, 585–610 (2019). https://doi.org/10.1016/j.jcp.2019.02.022ADSMathSciNetCrossRef

16.

Nguyen, T.T., Yvonnet, J., Waldmann, D., He, Q.C.: Phase field modeling of interfacial damage in heterogeneous media with stiff and soft interphases. Eng. Fract. Mech. (2019). https://doi.org/10.1016/j.engfracmech.2019.106574CrossRef

17.

Patil, R.U., Mishra, B.K., Singh, I.V.: A multiscale framework based on phase field method and XFEM to simulate fracture in highly heterogeneous materials. Theor. Appl. Fract. Mech. 100, 390–415 (2019). https://doi.org/10.1016/j.tafmec.2019.02.002CrossRef

18.

Nguyen, N., Yvonnet, J., Réthoré, J., Tran, A.B.: Identification of fracture models based on phase field for crack propagation in heterogeneous lattices in a context of non-separated scales. Comput. Mech. 63, 1047–1068 (2018). https://doi.org/10.1007/s00466-018-1636-zMathSciNetCrossRef

19.

He, B., Schuler, L., Newell, P.: A numerical-homogenization based phase-field fracture modeling of linear elastic heterogeneous porous media. Comput. Mater. Sci. (2020). https://doi.org/10.1016/j.commatsci.2020.109519CrossRef

20.

Miehe, C., Welschinger, F., Hofacker, M.: Thermodynamically consistent phase-field models of fracture: variational principles and multi-field FE implementations. Int. J. Numer. Methods Eng. 83(10), 1273–1311 (2010). https://doi.org/10.1002/nme.2861MathSciNetCrossRef

21.

Ambati, M., Gerasimov, T., De Lorenzis, L.: A review on phase-field models of brittle fracture and a new fast hybrid formulation. Comput. Mech. 55, 383–405 (2014). https://doi.org/10.1007/s00466-014-1109-yMathSciNetCrossRef

22.

Hassani, B., Hinton, E.: A review of homogenization and topology opimization II-analytical and numerical solution of homogenization equations. Comput. Struct. 69, 719–738 (1998). https://doi.org/10.1016/S0045-7949(98)00132-1CrossRef

23.

Hassani, B., Hinton, E.: A review of homogenization and topology optimization I-homogenization theory for media with periodic structure. Comput. Struct. 69, 707–717 (1998). https://doi.org/10.1016/S0045-7949(98)00131-XCrossRef

24.

Fish, J.: Practical multiscaling. Wiley, West Sussex (2014)

Title: Phase-field fracture analysis of heterogeneous materials based on homogenization method
Authors: Jihai Yuan
Song He
Changping Chen
Lei Wang
Publication date: 27-11-2023
Publisher: Springer Vienna
Published in: Acta Mechanica / Issue 2/2024
Print ISSN: 0001-5970
Electronic ISSN: 1619-6937
DOI: https://doi.org/10.1007/s00707-023-03798-7

Springer Professional

Phase-field fracture analysis of heterogeneous materials based on homogenization method

Abstract

Premium Partners

Springer Professional

Abstract

Please log in to get access to your license.

Other articles of this Issue 2/2024

Dynamic characterizations of O- and X-carbon nanotube-reinforced rings

The effects of the foam and FGM distributions on thermomechanical buckling response of sandwich plates

Nonlinear vibration analysis of smart truncated conical porous composite shells reinforced with Terfenol-D particles

Dispersion and thermo-acoustoelastic effects of guided waves in the laminated cylindrical shells with SMA-reinforced core and nanocomposite surfaces

Analytical study of the annular flow of a generalised Phan-Thien–Tanner fluid

Nonlinear vibration of geometrically imperfect CNT-reinforced composite cylindrical panels exposed to thermal environments with elastically restrained edges

Premium Partners