Thermal fracture analysis of a two-dimensional decagonal quasicrystal coating structure with interface cracks

References

• D. Shechtman, I. Blech, D. Gratias, and J.W. Cahn, Metallic phase with long-range orientational order and no translational symmetry, Phys. Rev. Lett., vol. 53, no. 20, pp. 1951–1953, 1984. DOI: 10.1103/PhysRevLett.53.1951.
   Web of Science ®Google Scholar
• K. Chattopadhyay, S. Lele, S. Ranganathan, G.N. Subbanna, and N. Thangaraj, Electron microscopy of quasi-crystals and related structures, Curr. Sci., vol. 54, pp. 895–903, 1985.
   Web of Science ®Google Scholar
• J.M. Dubois , Properties- and applications of quasicrystals and complex metallic alloys , Chem. Soc. Rev., vol. 41, no. 20, pp. 6760–6777, 2012. DOI: 10.1039/C2CS35110B.
   PubMed Web of Science ®Google Scholar
• T.P. Yadav and N.K. Mukhopadhyay, Quasicrystal: a low-frictional novel material, Curr. Opin. Chem. Eng., vol. 19, pp. 163–169, 2018. DOI: 10.1016/j.coche.2018.03.005.
   Web of Science ®Google Scholar
• X.P. Guo, J.F. Chen, H.L. Yu, H.L. Liao, and C. Coddet, A study on the microstructure and tribological behavior of cold-sprayed metal matrix composites reinforced by particulate quasicrystal, Surf. Coat. Technol., vol. 268, pp. 94–98, 2015. DOI: 10.1016/j.surfcoat.2014.05.062.
   Web of Science ®Google Scholar
• B.A. Silva Guedes de Lima, R.M. Gomesa, S.J. Guedes de Lima, D. Dragoe, M.G.B. Labrousse, R.K. Njiwac, and J.M. Dubois, Self-lubricating, low-friction, wear-resistant Al-based quasicrystalline coatings, Sci. Technol. Adv. Mater., vol. 17, no. 1, pp. 71–79, 2016. DOI: 10.1080/14686996.2016.1152563.
   PubMed Web of Science ®Google Scholar
• J.M. Dubois, New prospects from potential applications of quasicrystalline materials, Mater. Sci. Eng. A, vol. 294–296, pp. 4–9, 2000. DOI: 10.1016/S0921-5093(00)01305-8.
   Web of Science ®Google Scholar
• V.N. Balbyshev, D.J. King, A.N. Khramov, L.S. Kasten, and M.S. Donley, Investigation of quaternary Al-based quasicrystal thin films for corrosion protection, Thin Solid Films, vol. 447–448, pp. 558–563, 2004. DOI: 10.1016/j.tsf.2003.07.026.
   Web of Science ®Google Scholar
• X.Y. Li, T. Wang, R.F. Zheng, and G.Z. Kang, Fundamental thermo-electro-elastic solutions for 1D hexagonal QC, Z. Angew. Math. Mech., vol. 95, no. 5, pp. 457–468, 2015. DOI: 10.1002/zamm.201300095.
   Web of Science ®Google Scholar
• A. Inaba, R. Lortz, C. Meingast, J.Q. Guo, and A.P. Tsai, Heat capacity and thermal expansion of a decagonal Al–Co–Ni quasicrystal, J. Alloys Compd., vol. 342, no. 1–2, pp. 302–305, 2002. DOI: 10.1016/S0925-8388(02)00197-4.
   Web of Science ®Google Scholar
• E. Abe, S.J. Pennycook, and A.P. Tsai, Direct observation of a local thermal vibration anomaly in a quasicrystal, Nature, vol. 421, no. 6921, pp. 347–350, 2003. DOI: 10.1038/nature01337.
   PubMed Web of Science ®Google Scholar
• J.A. Barrow, M.C. Lemieux, B.A. Cook, A.R. Ross, V.V. Tsukruk, P.C. Canfield, and D.J. Sordelet, Micro-surface and bulk thermal behavior of a single-grain decagonal Al–Ni–Co quasicrystal, J. Non-Cryst. Solids, vol. 334–335, pp. 312–316, 2004. DOI: 10.1016/j.jnoncrysol.2003.11.064.
   Web of Science ®Google Scholar
• K. Edagawa, K. Suzuki, P. Mandal, and S. Takeuchi, Thermal phason fluctuation in an Al–Cu–Co decagonal quasicrystal, J. Non-Cryst. Solids, vol. 334–335, pp. 298–302, 2004. DOI: 10.1016/j.jnoncrysol.2003.11.061.
   Web of Science ®Google Scholar
• X.B. Liu, Y. Osawa, S. Takamori, and G.C. Yang, Thermal stability of decagonal quasicrystal prepared from undercooled Al72Ni12Co16 alloy melt, Mater. Lett., vol. 61, no. 29, pp. 5164–5168, 2007. DOI: 10.1016/j.matlet.2007.04.021.
   Web of Science ®Google Scholar
• S. Burkardt, M. Erbudak, and R. Mäder, High-temperature surface oxidation of the decagonal AlCoNi quasicrystal, Surf. Sci., vol. 603, no. 6, pp. 867–872, 2009. DOI: 10.1016/j.susc.2009.01.037.
   Web of Science ®Google Scholar
• G.T. Liu and T.Y. Fan, Complex method of the plane elasticity in 2D quasicrystal with point group 10 mm tenfold rotational symmetry and holey problems, Sci. China Ser. E, vol. 46, no. 3, pp. 326–336, 2003. DOI: 10.1360/03ye9036.
   Google Scholar
• X. Wang and P. Schiavone, Two non-elliptical decagonal quasicrystalline inclusions with internal uniform hydrostatic phonon stresses, Z. Angew. Math. Mech., vol. 98, no. 11, pp. 2027–2034, 2018. DOI: 10.1002/zamm.201800106.
   Web of Science ®Google Scholar
• T.Y. Fan, L.Y. Xie, L. Fan, and Q.Z. Wang, Interface of quasicrystal and crystal, Chin. Phys. B, vol. 20, no. 7, pp. 076102, 2011. DOI: 10.1088/1674-1056/20/7/076102.
   Web of Science ®Google Scholar
• Y. Li, L.Z. Yang, L.L. Zhang, and Y. Gao, Size-dependent effect on functionally graded multilayered two-dimensional quasicrystal nanoplates under patch/uniform loading, Acta Mech., vol. 229, no. 8, pp. 3501–3515, 2018. DOI: 10.1007/s00707-018-2177-4.
   Web of Science ®Google Scholar
• S.M. Hosseini, J. Sladek, and V. Sladek, Anisotropic transient thermoelasticity analysis in a two-dimensional decagonal quasicrystal using meshless local Petrov-Galerkin (MLPG) method, Appl. Math. Model., vol. 66, pp. 275–295, 2019. DOI: 10.1016/j.apm.2018.09.024.
   Web of Science ®Google Scholar
• C.Y. Fan, S.Y. Lv, H.Y. Dang, Y.P. Yuan, and M.H. Zhao, Fundamental solutions and analysis of the interface crack for two-dimensional decagonal quasicrystal bimaterial via the displacement discontinuity method, Eng. Anal. Bound. Elem., vol. 106, pp. 462–472, 2019. DOI: 10.1016/j.enganabound.2019.05.029.
   Web of Science ®Google Scholar
• M.H. Zhao, C.Y. Fan, C.S. Lu, and H.Y. Dang, Interfacial fracture analysis for a two-dimensional decagonal quasi-crystal coating layer structure, Appl. Math. Mech. Engl. Ed., vol. 42, no. 11, pp. 1633–1648, 2021. DOI: 10.1007/s10483-021-2786-5.
   Google Scholar
• J. Sladek, V. Sladek, S. Krahulec, C. Zhang, and M. Wunsche, Crack analysis in decagonal quasicrystals by the MLPG, Int. J. Fract., vol. 181, no. 1, pp. 115–126, 2013. DOI: 10.1007/s10704-013-9825-4.
   Web of Science ®Google Scholar
• X.F. Li, T.Y. Fan, and Y.F. Sun, A decagonal quasicrystal with a Griffith crack, Philos. Mag. A, vol. 79, pp. 1943–1952, 1999. DOI: 10.1080/01418619908210401.
   Google Scholar
• S.Y. Chang, B.J. Chen, Y.T. Hsiao, D.S. Wang, T.S. Chen, M.S. Leu, and H.J. Lai, Preparation and nanoscopic plastic deformation of toughened Al-Cu-Fe-based quasicrystal/vanadium multilayered coatings, Mater. Chem. Phys., vol. 213, pp. 277–284, 2018. DOI: 10.1016/j.matchemphys.2018.04.045.
   Web of Science ®Google Scholar
• J. Mora, P. Garcia, R. Muelas, and A. Aguero, Hard quasicrystalline coatings deposited by hvof thermal spray to reduce ice accretion in aero-structures components, Coatings, vol. 10, no. 3, pp. 290, 2020. DOI: 10.3390/coatings10030290.
   Web of Science ®Google Scholar
• T.J. Watson, A. Nardi, A.T. Ernst, I. Cernatescu, B.A. Bedard, and M. Aindow, Cold spray deposition of an icosahedral-phase-strengthened aluminum alloy coating, Surf. Coat. Technol., vol. 324, pp. 57–63, 2017. DOI: 10.1016/j.surfcoat.2017.05.049.
   Web of Science ®Google Scholar
• M. Xiao, X.Q. Liu, S.H. Zeng, Z.G. Zheng, G. Wang, Z.G. Qiu, M. Liu, and D.C. Zeng, Effects of particle size on the microstructure and mechanical properties of HVAF-sprayed Al-based quasicrystalline coatings, J. Therm. Spray Technol., vol. 30, no. 5, pp. 1380–1392, 2021. DOI: 10.1007/s11666-021-01202-1.
   Web of Science ®Google Scholar
• M.W. Cai and J. Shen, Phase transformation of high velocity air fuel (HVAF)-sprayed Al-Cu-Fe-Si quasicrystalline coating, Metals, vol. 10, no. 6, pp. 834, 2020. DOI: 10.3390/met10060834.
   Web of Science ®Google Scholar
• P.P. Bandyopadhyay, M. Hadad, C. Jaeggi, and S. Siegmann, Microstructural, tribological and corrosion aspects of thermally sprayed Ti-Cr-Si coatings, Surf. Coat. Technol., vol. 203, no. 1–2, pp. 35–45, 2008. DOI: 10.1016/j.surfcoat.2008.07.026.
   Web of Science ®Google Scholar
• J.M. Dubois, S.S. Kang, P. Archambault, and B. Colleret, Thermal diffusivity of quasicrystalline and related crystalline alloys, J. Mater. Res., vol. 8, no. 1, pp. 38–43, 1993. DOI: 10.1017/S0884291400120321.
   Web of Science ®Google Scholar
• A. Sánchez, F.J. Garcia de Blas, J.M. Algaba, J. Alvarez, P. Vallès, M.C. García-Poggio, and A. Agüero, Application of quasicrystalline materials as thermal barriers in aeronautics and future perspectives of use for these materials, Mater Res. Soc. Symp. – Proc., vol. 553, pp. 447–458, 1998. DOI: 10.1557/PROC-553-447.
   Google Scholar
• H.Y. Dang, S.Y. Lv, C.Y. Fan, C.S. Lu, J.L. Ren, and M.H. Zhao, Analysis of anti-plane interface cracks in one-dimensional hexagonal quasicrystal coating, Appl. Math. Model., vol. 81, pp. 641–652, 2020. DOI: 10.1016/j.apm.2020.01.024.
   Web of Science ®Google Scholar
• S.L. Crouch, Solution of plane elasticity problems by the displacement discontinuity method. I. Infinite body solution, Int. J. Numer. Methods Eng., vol. 10, no. 2, pp. 301–343, 1976. DOI: 10.1002/nme.1620100206.
   Web of Science ®Google Scholar
• T. Rabczuk and T. Belytschko, Crack particles: a simplified meshfree method for arbitrary evolving cracks, Int. J. Numer. Methods Eng., vol. 61, no. 13, pp. 2316–2343, 2004. DOI: 10.1002/nme.1151.
   Web of Science ®Google Scholar
• P. Areias, J. Reinoso, P.P. Camanho, J. Cesar de Sa, and T. Rabczuk, Effective 2D and 3D crack propagation with local mesh refinement and the screened Poisson equation, Eng. Fract. Mech., vol. 189, pp. 339–360, 2018. DOI: 10.1016/j.engfracmech.2017.11.017.
   Web of Science ®Google Scholar
• S. Goswami, C. Anitescu, S. Chakraborty, and T. Rabczuk, Transfer learning enhanced physics informed neural network for phase-field modeling of fracture, Theor. Appl. Fract. Mech., vol. 106, pp. 102447, 2020. DOI: 10.1016/j.tafmec.2019.102447.
   Web of Science ®Google Scholar
• C.Y. Dong and C.J. Pater, Numerical implementation of displacement discontinuity method and its application in hydraulic fracturing, Comput. Methods Appl. Mech. Eng., vol. 191, no. 8–10, pp. 745–760, 2001. DOI: 10.1016/S0045-7825(01)00273-0.
   Web of Science ®Google Scholar
• K. Wu and J.E. Olson, A simplified three-dimensional displacement discontinuity method for multiple fracture simulations, Int. J. Fract., vol. 193, no. 2, pp. 191–204, 2015. DOI: 10.1007/s10704-015-0023-4.
   Web of Science ®Google Scholar
• E. Gordeliy and E. Detournay, Displacement discontinuity method for modeling axisymmetric cracks in an elastic half-space, Int. J. Solids Struct., vol. 48, no. 19, pp. 2614–2629, 2011. DOI: 10.1016/j.ijsolstr.2011.05.009.
   Web of Science ®Google Scholar
• P.H. Wen, M.H. Aliabadi, J. Sladek, and V. Sladek, Displacement discontinuity method for cracked orthotropic strip: dynamic, Wave Mot., vol. 45, no. 3, pp. 293–308, 2008. DOI: 10.1016/j.wavemoti.2007.06.006.
   Web of Science ®Google Scholar
• M. Li, Y.L. Tian, P.H. Wen, and M.H. Aliabadi, Anti-plane interfacial crack with functionally graded coating: static and dynamic, Theor. Appl. Fract. Mech., vol. 86, pp. 250–259, 2016. DOI: 10.1016/j.tafmec.2016.07.010.
   Web of Science ®Google Scholar
• J.H. Guo, J.Y. Yu, Y.M. Xing, E.N. Pan, and L.H. Li, Thermoelastic analysis of a two-dimensional decagonal quasicrystal with a conductive elliptic hole, Acta Mech., vol. 227, no. 9, pp. 2595–2607, 2016. DOI: 10.1007/s00707-016-1657-7.
   Web of Science ®Google Scholar
• R. Shail, Some thermoelastic stress distributions in an infinite solid and a thick plate containing penny-shaped cracks, Mathematika, vol. 11, no. 2, pp. 102–118, 1964. DOI: 10.1112/S0025579300004319.
   Google Scholar
• M.H. Zhao, Y.P. Shen, Y.J. Liu, and G.N. Liu, The method of analysis of cracks in three-dimensional transversely isotropic media: boundary integral equation approach, Eng. Anal. Bound. Elem., vol. 21, no. 2, pp. 169–178, 1998. DOI: 10.1016/S0955-7997(98)00033-2.
   Web of Science ®Google Scholar
• L.L. Zhang, L.Z. Yang, L.Y. Yu, and Y. Gao, General solutions of thermoelastic plane problems of two-dimensional quasicrystals, Trans. Nanjing Univ. Aeronaut. Astronaut., vol. 31, pp. 132–136, 2014. DOI: 10.1080/00224545.1994.9711744.
   Google Scholar
• P.F. Hou, H.Y. Jiang, and Q.H. Li, Three-dimensional steady-state general solution for isotropic thermoelastic materials with applications I: general solutions, J. Therm. Stress., vol. 36, no. 7, pp. 727–747, 2013. DOI: 10.1080/01495739.2013.788903.
   Web of Science ®Google Scholar
• R.J. Tang, M.C. Chen, and J.C. Yue, Theoretical analysis of three-dimensional interface crack, Sci. China Ser. A Math., vol. 41, no. 4, pp. 443–448, 1998. DOI: 10.1007/BF02879037.
   Google Scholar
• A.B. Zhang and B.L. Wang, An opportunistic analysis of the interface crack based on the modified interface dislocation method, Int. J. Solids Struct., vol. 50, no. 1, pp. 15–20, 2013. DOI: 10.1016/j.ijsolstr.2012.08.024.
   Web of Science ®Google Scholar
• T.Y. Fan, Mathematical theory and methods of mechanics of quasicrystalline materials, Engineering, vol. 5, no. 4, pp. 407–448, 2013. DOI: 10.4236/eng.2013.54053.
   Google Scholar