Dynamic anti-plane analysis for interfacial cracks emanating from an eccentric circular cavity in piezoelectric bi-materials

References

• Xiao JH, Xu YL, Zhang FC. Interaction between periodic cracks and periodic rigid-line inclusions in piezoelectric materials. Acta Mech. 2013;224(4):777–787. doi: https://doi.org/10.1007/s00707-012-0783-0
   Web of Science ®Google Scholar
• Pak YE. Elliptical inclusion problem in antiplane piezoelectricity: Implications for fracture mechanics. Int J Eng Sci. 2010;48(2):209–222. doi: https://doi.org/10.1016/j.ijengsci.2009.08.004
   Web of Science ®Google Scholar
• Guo JH, Lu ZX, Han HT, et al. Exact solutions for anti-plane problem of two asymmetrical edge cracks emanating from an elliptical hole in a piezoelectric material. Int J Solids Struct. 2009;46(21):3799–3809. doi: https://doi.org/10.1016/j.ijsolstr.2009.07.002
   Web of Science ®Google Scholar
• Guo JH, Lu ZX, Han HT, et al. The behavior of two non-asymmetrical permeable cracks emanating from an elliptical hole in a piezoelectric solid. Eur J Mech A Solids. 2010;29(4):654–663. doi: https://doi.org/10.1016/j.euromechsol.2010.01.001
   Web of Science ®Google Scholar
• Chen YZ, Lin XY, Wang ZX. A semi-analytic solution for multiple curved cracks emanating from circular hole using singular integral equation. Appl Math Comput. 2009;213(2):389–404.
   Web of Science ®Google Scholar
• Guo JH L, Feng X ZX. The fracture behavior of multiple cracks emanating from a circular hole in piezoelectric materials. Acta Mech. 2010;215(1–4):119–134. doi: https://doi.org/10.1007/s00707-010-0327-4
   Web of Science ®Google Scholar
• Lei J, Garcia-Sanchez F, Zhang C. Determination of dynamic intensity factors and time-domain BEM for interfacial cracks in anisotropic piezoelectric materials. Int J Solids Struct. 2013;50(9):1482–1493. doi: https://doi.org/10.1016/j.ijsolstr.2013.01.018
   Web of Science ®Google Scholar
• Bagheri R. Several horizontal cracks in a piezoelectric half-plane under transient loading. Arch Appl Mech. 2017;87:1979–1992. doi: https://doi.org/10.1007/s00419-017-1305-2
   Web of Science ®Google Scholar
• Bagheri R, Mirzaei AM. Fracture analysis in an imperfect FGM orthotropic strip bonded between two magneto-electro-elastic layers. Iran J Sci Technol Trans Mech Eng. 2019;43(2):253–271. doi: https://doi.org/10.1007/s40997-017-0129-6
   Web of Science ®Google Scholar
• Bagheri R, Noroozi M. The linear steady state analysis of multiple moving cracks in a piezoelectric half-plane under in-plane electro-elastic loading. Theor Appl Fract Mech. 2018;96:334–350. doi: https://doi.org/10.1016/j.tafmec.2018.05.010
   Web of Science ®Google Scholar
• Afshar H, Bagheri R. Several embedded cracks in a functionally graded piezoelectric strip under dynamic loading. Comput Math Appl. 2018;76:534–550. doi: https://doi.org/10.1016/j.camwa.2018.04.035
   Web of Science ®Google Scholar
• Fallahnejad M, Bagheri R, Noroozi M. Transient analysis of two dissimilar FGM layers with multiple interface cracks. Struct Eng Mech. 2018;67(3):277–281.
   Web of Science ®Google Scholar
• Ershad H, Bagheri R, Noroozi M. Transient response of cracked nonhomogeneous substrate with piezoelectric coating by dislocation method. Math Mech Solids. 2018;23(12):1525–1536. doi: https://doi.org/10.1177/1081286518783365
   Web of Science ®Google Scholar
• Bagheri R. Transient behavior of multiple interface cracks in two non-homogeneous half-layers. Iran J Sci Technol Trans Mech Eng. 2019;4:1–11.
   Google Scholar
• Hassan A, Song TS. Dynamic anti-plane analysis for two symmetrically interracial cracks near circular cavity in piezoelectric bi-materials. Appl Math Mech. 2014;35(10):1261–1270. doi: https://doi.org/10.1007/s10483-014-1891-9
   Google Scholar
• Song TS, Hassan A. Dynamic anti-plane analysis for symmetrically radial cracks near a non-circular cavity in piezoelectric bi-materials. Acta Mech. 2015;226(7):2089–2101. doi: https://doi.org/10.1007/s00707-015-1303-9
   Web of Science ®Google Scholar
• Yu T, Bui TQ, Liu P, et al. Interfacial dynamic impermeable cracks analysis in dissimilar piezoelectric materials under coupled electromechanical loading with the extended finite element method. Int J Solids Struct. 2015;67–68:205–218. doi: https://doi.org/10.1016/j.ijsolstr.2015.03.037
   Web of Science ®Google Scholar
• Gai BZ, Wang LQ. Effect of crack face contact on dynamic stress intensity factors for a hole-edge crack. J Harbin Inst Technol. 2009;16(2):194–197.
   Google Scholar
• Liu H, Zhou Z. Dynamic stress intensity factors of two 3D rectangular permeable cracks in a transversely isotropic piezoelectric material under a time-harmonic elastic P-wave. Wave Motion. 2016;51(1):1309–1324.
   Google Scholar
• Meguid SA, Wang XD. Dynamic antiplane behaviour of interacting cracks in a piezoelectric medium. Int J Fract. 1998;91(4):391–403. doi: https://doi.org/10.1023/A:1007521018293
   Web of Science ®Google Scholar
• Song TS, Li D. Dynamic stress intensity factor for interfacial cracks of mode III on a circular cavity in piezoelectric bimaterials (in Chinese). Chin J Theor Appl Mech. 2010;42(6):1219–1224.
   Google Scholar
• Sih GC. Stress distribution near internal crack tips for longitudinal shear problems. J Appl Mech. 1965;32(1):51–58. doi: https://doi.org/10.1115/1.3625783
   Web of Science ®Google Scholar
• Loeber JF, Sih GC. Transmission of anti-plane shear waves past an interface crack in dissimilar media. Eng Fract Mech. 1973;5(3):699–725. doi: https://doi.org/10.1016/0013-7944(73)90048-9
   Google Scholar