Exact fundamental solutions for a Mode-I external circular crack in an infinite one-dimensional hexagonal piezoelectric quasicrystal
Bibliographic record
Abstract
No abstract is available for this record. The assistant can identify its topic from the title, but cannot infer the study’s results.
Source: Not provided · Quality: missing
Research context
OpenAlex topics: Quasicrystal Structures and Properties · Nonlinear Photonic Systems · Microstructure and mechanical properties
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (42)
Show source-provided references
1. Achenbach JD (1973) Wave propagation in elastic solids. North-Holland Publishing, Amsterdam
2. Aki K, Richards PG (2002) Ouantitative seismology. University Science Books, Sausalito
3. Altidis JD, de Barros S, de Souza JDRB, Torres SM, De Lima SJG (2012) Adhesion tests in quasicrystal powders reinforced geopolymer composites. Mater Sci Forum 727–728:186–189. https://doi.org/10.4028/www.scientific.net/MSF.727-728.18610.4028/www.scientific.net/MSF.727-728.186 ↗
4. Amin M, Khan AD (2015) Polarization selective electromagnetic-induced transparency in the disordered plasmonic quasicrystal structure. J Phys Chem C 119(37):21633–21638. https://doi.org/10.1021/acs.jpcc.5b0615410.1021/acs.jpcc.5b06154 ↗
5. Chen WQ, Shioya T (1999) Green’s functions of an external circular crack in a transversely isotropic piezoelectric medium. JSME Int J Ser A Solid Mech Mater Eng 42(1):73–79. https://doi.org/10.1299/jsmea.42.7310.1299/jsmea.42.73 ↗
6. Chen WQ, Ma YL, Ding HJ (2004) On three-dimensional elastic problems of one-dimensional hexagonal quasicrystal bodies. Mech Res Commun 31(6):633–641. https://doi.org/10.1016/j.mechrescom.2004.03.00710.1016/j.mechrescom.2004.03.007 ↗
7. Dang HY, Qi DP, Zhao MH, Fan CY, Lu CS (2023) Thermal-induced interfacial behavior of a thin one-dimensional hexagonal quasicrystal film. Appl Math Mech 44(5):841–856. https://doi.org/10.1007/s10483-023-2989-710.1007/s10483-023-2989-7 ↗
8. Fabrikant VI (1989) Application of potential theory in mechanics: a section of new results. Kluwer Academic Publishers, Dordrecht, The Netherlands
9. Fan TY (2011) Mathematical theory of elasticity of quasicrystals and application. Springer, Heidelberg10.1007/978-3-642-14643-5 ↗
10. Gebresenbut G, Andersson M, Beran P, Manuel P, Nordblad P, Sahlberg M, Gomez C (2015) Long range ordered magnetic and atomic structures of the quasicrystal approximant in the Tb–Au–Si system. Acta Crystallogr A 71:S110. https://doi.org/10.1107/S205327331509839310.1107/S2053273315098393 ↗
11. Gong NP, Xia YM (2002) Elastic-plastic FEM analysis for the bar-bar tensile impact apparatus with a circumferentially notched short metal bar. Chin J Solid Mech 23(2):223–231. https://doi.org/10.3969/j.issn.0254-7805.2002.02.01610.3969/j.issn.0254-7805.2002.02.016 ↗
12. Gradsbteyn IS, Ryzbik LM (2004) Table of integrals, series, and products, 6th edn. Elsevier, Amsterdam
13. Huang H, Meng DQ, Lai XC, Zhao YW, Zhou P, Wang QG, Huang HG, Qiang JB (2015) TiZrNi quasicrystal film prepared by magnetron sputtering. Vacuum 122:147–153. https://doi.org/10.1016/j.vacuum.2015.09.02510.1016/j.vacuum.2015.09.025 ↗
14. Jin XQ, Chaiyat S, Keer LM, Kiattikomol K (2008) Refined Dugdale plastic zones of an external circular crack. J Mech Phys Solids 56:1127–46. https://doi.org/10.1016/j.jmps.2007.10.00910.1016/j.jmps.2007.10.009 ↗
15. Jin WT, Song M, Hu WC, Xue YL, Gao YM (2021) Diffraction propagation of light wave and image distortionless transmission in ten-fold symmetric photonic quasicrystal lattices. Opt Commun 500:127329. https://doi.org/10.1016/j.optcom.2021.12732910.1016/j.optcom.2021.127329 ↗
16. Kalning M, Kek S, Krane HG, Dorna V, Press W, Steurer W (1997) Phason-strain analysis of the twinned approximant to the decagonal quasicrystal Al70Co15Ni15: evidence for a one-dimensional quasicrystal. Phys Rev B 55(1):187–192. https://doi.org/10.1103/PhysRevB.55.18710.1103/PhysRevB.55.187 ↗
17. Koschella U, Gähler F, Roth J, Trebin HR (2004) Phason-elastic energy in a model quasicrystal. J Non-Cryst Solids 334:276–279. https://doi.org/10.1016/j.jnoncrysol.2003.11.05610.1016/j.jnoncrysol.2003.11.056 ↗
18. Li XY (2012) Fundamental electro-elastic field in an infinite transversely isotropic piezoelectric medium with a permeable external circular crack. Smart Mater Struct 21:065019. https://doi.org/10.1088/0964-1726/21/6/06501910.1088/0964-1726/21/6/065019 ↗
19. Li XY (2014) Elastic field in an infinite medium of one-dimensional hexagonal quasicrystal with a planar crack. Int J Solids Struct 51(6):1442–1455. https://doi.org/10.1016/j.ijsolstr.2013.12.03010.1016/j.ijsolstr.2013.12.030 ↗
20. Li XY, Li PD, Wu TH, Shi MX, Zhu ZW (2014a) Three-dimensional fundamental solutions for one-dimensional hexagonal quasicrystal with piezoelectric effect. Phys Lett A 378(10):826–834. https://doi.org/10.1016/j.physleta.2014.01.01610.1016/j.physleta.2014.01.016 ↗
21. Li XY, Zheng RF, Chen WQ (2014b) Fundamental solutions to contact problems of a magneto-electro-elastic half-space indented by a semi-infinite punch. Int J Solids Struct 51(1):164–178. https://doi.org/10.1016/j.ijsolstr.2013.09.02010.1016/j.ijsolstr.2013.09.020 ↗
22. Li LH, Liu GT (2018) Study on a straight dislocation in an icosahedral quasicrystal with piezoelectric effects. Appl Math Mech 39(9):1259–1266. https://doi.org/10.1007/s10483-018-2363-910.1007/s10483-018-2363-9 ↗
23. Liu Q, Wang KY, Sun YD, Li XR, Liu W, Zhao XY, Lv TT, Lv JW, Chu PK, Liu C (2024) Two-core photonic quasicrystal fiber-surface plasmon resonance (PQF-SPR) methane sensor comprising the ZnO/Au composite film: design and FEM simulation. Phys Scripta 99(12):125518. https://doi.org/10.1088/1402-4896/ad85ff10.1088/1402-4896/ad85ff ↗
24. Lou F, Cao T, Qin TY, Xu CH (2019) Plane analysis for an inclusion in 1D hexagonal quasicrystal using the hypersingular integral equation method. Acta Mech Solida Sin 32(2):249–260. https://doi.org/10.1007/s10338-018-0072-010.1007/s10338-018-0072-0 ↗
25. Niizeki K (1994) The diffraction pattern of a non-Bravais-type quasi-crystal with application to a decagonal quasi-crystal. J Phys Soc Jpn 63(11):4035–4043. https://doi.org/10.1143/JPSJ.63.403510.1143/JPSJ.63.4035 ↗
26. Parsamehr H, Yang CL, Liu WT, Chen SW, Chang SY, Chen LJ, Tsai AP, Lai CH (2019) Direct observation of growth and stability of Al–Cu–Fe quasicrystal thin films. Acta Mater 174:1–8. https://doi.org/10.1016/j.actamat.2019.05.02410.1016/j.actamat.2019.05.024 ↗
27. Shechtman D, Belch I, Gratias D, Cahn JW (1984) Metallic phase with long-range oritentational order and no translational symmetry. Phys Rev Lett 53(20):1951–1953. https://doi.org/10.1103/PhysRevLett.53.195110.1103/PhysRevLett.53.1951 ↗
28. Strzalka R, Chuchra L, Wolny J (2022) Envelope function analysis of quasicrystals. Crystals 12(4):536. https://doi.org/10.3390/cryst1204053610.3390/cryst12040536 ↗
29. Verre R, Antosiewicz TJ, Svedendahl M, Lodewijks K, Shegai T, Käll M (2014) Quasi-isotropic surface plasmon polariton generation through near-field coupling to a penrose pattern of silver nanoparticles. ACS Nano 8(9):9286–9294. https://doi.org/10.1021/nn503195n10.1021/nn503195n ↗
30. Wang XD, Du WB, Wang ZH, Li SB (2011) Microstructure and mechanical properties of quasicrystal reinforced magnesium matrix composites. Adv Struct Mater 686:242–246. https://doi.org/10.4028/www.scientific.net/MSF.686.24210.4028/www.scientific.net/MSF.686.242 ↗
31. Wen X, Hu ZX, Wang H, Chen Y, Ma QC, Li GX (2024) Quasicrystal metasurface for optical holography and diffraction. Light Sci Appl 13(11):246. https://doi.org/10.1038/s41377-024-01578-z10.1038/s41377-024-01578-z ↗
32. Wu F, Wu TH, Li XY (2018) Indentation theory on a half-space of transversely isotropic multi-ferroic composite medium: sliding friction effect. Smart Mater Struct 27(3):035005. https://doi.org/10.1088/1361-665X/aaa46310.1088/1361-665X/aaa463 ↗
33. Wu F, Li XY, Zheng RF, Kang GZ (2019) Theory of adhesive contact on multi-ferroic composite materials: spherical indenter. Int J Eng Sci 134:77–116. https://doi.org/10.1016/j.ijengsci.2018.10.00910.1016/j.ijengsci.2018.10.009 ↗
34. Wu TH, Li XY, Chen XH (2020) Three-dimensional closed-form solution to elliptical crack problem in magneto-electro-elasticity: electrically and magnetically induced Maxwell stress boundary condition. Int J Solids Struct 202:729–744. https://doi.org/10.1016/j.ijsolstr.2020.07.00310.1016/j.ijsolstr.2020.07.003 ↗
35. Wu TH, Li XY, Tang HP (2021) Three-dimensional fields in an infinite transversely isotropic magneto-electro-elastic space with multiple coplanar penny-shaped cracks. Int J Eng Sci 159:103434. https://doi.org/10.1016/j.ijengsci.2020.10343410.1016/j.ijengsci.2020.103434 ↗
36. Yang L, Hou H, Zhao YH, Yang XM (2016) Microstructure and mechanical properties of squeeze casting quasicrystal reinforced AZ91D magnesium matrix composites. Rare Metal Mat Eng 45(8):1978–1982. https://doi.org/10.1016/S1875-5372(16)30157-610.1016/S1875-5372(16)30157-6 ↗
37. Yu J, Guo JH, Xing YM (2015) Complex variable method for an anti-plane elliptical cavity of one-dimensional hexagonal piezoelectric quasicrystals. Chinese J Aeronaut 28(4):1287–1295. https://doi.org/10.1016/j.cja.2015.04.01310.1016/j.cja.2015.04.013 ↗
38. Zhan S, Xiang XM, Lai YX, Hu XJ, He ZB, Chen JH (2024) Nucleation and growth of quasicrystal-related precipitates within the Al-matrix of AlEr(Fe) alloys. Mater Today Nano 28:100522. https://doi.org/10.1016/j.mtnano.2024.10052210.1016/j.mtnano.2024.100522 ↗
39. Zhong JB, Chen YJ, Teng LL, Shao XJ, Han B, Yan F (2022) Research progress on Al-based quasicrystal films/coatings. China Surf Eng 34(5):105–116
40. Zhong JB, Chen YJ, Teng LL, Shao XJ, Han B, Yan F (2021) Research progress on Al-based quasicrystal films/coatings. China Surf Eng 34(5), 105–116. https://doi.org/10.11933/j.issn.1007-9289.20210530002
41. Zhang WK, Lu CS, Zhao MH, Fan CY, Dang HY (2025) On the interfacial behavior of a one-dimensional hexagonal piezoelectric quasicrystal film based on the beam theory. Appl Math Mech 46(2):289–304. https://doi.org/10.1007/s10483-025-3214-910.1007/s10483-025-3214-9 ↗
42. Zhang JQ, Li XY, Kang GZ (2024) Mode-I penny-shaped crack problem in an infinite space of one-dimensional hexagonal piezoelectric quasicrystal: exact solutions. Int J Fract 246:203–223. https://doi.org/10.1007/s10704-023-00742-710.1007/s10704-023-00742-7 ↗