Abstract
The anti-plane dynamic problem of a functionally graded piezoelectric plane containing a hole–crack system is treated. The material parameters vary exponentially in the same manner in an arbitrary direction. The system is loaded by an incident SH-type wave and impermeable boundary conditions are assumed. The numerical solution yields the dynamic SIFs and SCFs. A parametric study reveals their dependence on the hole–crack scenario and its geometry, characteristics of the dynamic load and magnitude and direction of the material gradient.
Keywords
- Hole Boundary
- Crack System
- Crack Interaction
- Complex Variable Method
- Electrical Displacement Intensity Factor
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Akamatsu M, Nakamura G (2002) Well-posedness of initial-boundary value problems for piezoelectric equations. Appl Anal 81:129–141
Daros CH (2010) On modelling SH-waves in a class of inhomogeneous anisotropic media via the boundary element method. Z Angew Math Mech (ZAMM) 90:113–121
Davi G, Milazzo A (2001) Multidomain boundary integral formulation for piezoelectric materials fracture mechanics. Int J Solids Struct 38:7065–7078
Fang XQ (2008) Multiple scattering of electro-elastic waves from a buried cavity in a functionally graded piezoelectric material layer. Int J Solids Struct 45:5716–5729
Lekhnitski SG (1968) Anisotropic plates. Gordon and Breach, New York
Müller R, Dineva P, Rangelov T, Gross D (2012) Anti-plane dynamic hole–crack interaction in a functionally gradede piezoelectric media. Arch Appl Mech 82:97–110
Pao YH, Mow CC (1971) Diffraction of elastic waves and dynamic stress concentration. Crane Russak, New York
Qin Q, Lu M (2000) BEM for crack-inclusion problems of palne thermopiezoelectric solids. Int J Numer Meth Eng 40:1071–1088
Qin Q, Mai W (2002) BEM for crack–hole problems in thermopiezoelectric materials. Eng Fract Mech 69:577–588
Shindo Y, Moribayashi H, Narita F (2002) Scattering of antiplane shear waves by a circular piezoelectric inclusion embedded in a piezoelectric medium subjected to a steady-state electrical load. Z Angew Math Mech (ZAMM) 82:43–49
Song T, Li H, Dong J (2006) Dynamic anti-plane behaviour of the interaction between a crack and a circular cavity in a piezoelectric medium. Key Eng Mater 324(325):29–32
Sosa H (1991) Plane problems in piezoelectric media with defects. Int J Solids Struct 28:491–505
Wang CY, Zhang Ch (2005) 2 D and 3 D dynamic Green’s functions and time-domain BIE formulations for piezoelectric solids. Eng Anal Boundary Elem 29:454–465
Wang XD, Meguid SA (2000b) Modelling and analysis of the dynamic behaviour of piezoelectric materials containing interfacing cracks. Mech Mater 32:723–737
Xu LY, Rajapakse RKND (1998) Boundary element analysis of piezoelectric solids with defects. Eng Fract Mech 29B:655–669
Zhou ZD, Zhao SX, Kuang ZB (2005) Stress and electric displacement analysis in piezoelectric media with an elliptic hole and a small crack. Int J Solids Struct 42:2803–2822
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Dineva, P., Gross, D., Müller, R., Rangelov, T. (2014). Anti-plane Dynamic Crack–Hole Interaction in a Functionally Graded Piezoelectric Medium. In: Dynamic Fracture of Piezoelectric Materials. Solid Mechanics and Its Applications, vol 212. Springer, Cham. https://doi.org/10.1007/978-3-319-03961-9_15
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DOI: https://doi.org/10.1007/978-3-319-03961-9_15
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