Abstract
Surface-bonded piezoelectric layers can be used as actuators/sensors for advanced structural applications. The current paper provides a theoretical study of the dynamic behaviour of interacting cracks between a piezoelectric layer and an elastic medium under antiplane mechanical loads. The electromechanical field of a single interfacial crack is determined first using Fourier transform technique and solving the resulting integral equations. This fundamental solution is then imple- mented into a pseudo-incident wave method to account for the interaction between different cracks. The dynamic behaviour of the resulting stress field is studied with special attention being paid to the stress intensity factors at the crack tips. Typical examples are provided to show the effect of the size and position of the cracks, the material combination and the loading frequency upon the stress intensity factors.
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References
Y Bar-Cohen (2000) ArticleTitleEmerging NDE technologies and challenges at the beginning of the 3rd millennium—Part I Mater Eval 58 IssueID1 17–30
C Beom H (2003) ArticleTitlePermeable cracks between two dissimilar piezoelectric materials Int J Solids Struct 40 6669–6679 Occurrence Handle10.1016/S0020-7683(03)00423-2 Occurrence Handle1054.74039
C Boller (2000) ArticleTitleNext generation structural health monitoring and its integration into aircraft design Int J Syst Sci 31 1333–1349 Occurrence Handle1080.93513 Occurrence Handle10.1080/00207720050197730
C Chee L Tong GP Steven (1998) ArticleTitleA review on the modeling of piezoelectric sensors and actuators incorporated in intelligent structures J Intell Mater Syst Struct 9 3–19 Occurrence Handle10.1177/1045389X9800900101
YH Chen JJ Han (1999a) ArticleTitleMacrocrack-microcrack interaction in piezoelectric materials, part I: basic formulations and J-analysis J Appl Mech 66 514–521
YH Chen JJ Han (1999b) ArticleTitleMacrocrack-microcrack interaction in piezoelectric materials, part II: numerical results and discussions J Appl Mech 66 522–527
ZT Chen BL Karihaloo (1999) ArticleTitleDynamic response of a cracked piezoelectric ceramic under arbitrary electro-mechanical impact Int J Solids Struct 36 5125–5133 Occurrence Handle0939.74017 Occurrence Handle10.1016/S0020-7683(98)00243-1
Deeg WEF (1980) The analysis of dislocation, crack, and inclusion problems in piezoelectric solids. Ph.D thesis, Stanford University
M Dunn (1994) ArticleTitleThe effect of crack face boundary conditions on the fracture mechanics of piezoelectric solids Eng Frac Mech 48 25–39 Occurrence Handle10.1016/0013-7944(94)90140-6 Occurrence Handle1994EnFM...48...25D
MV Gandhi BS Thompson (1992) Smart materials and structures Chapman Hall London
XL Han ZC Wang (1999) ArticleTitleInteracting multiple cracks in piezoelectric materials Int J Solids Struct 36 4183–4202 Occurrence Handle0942.74062 Occurrence Handle10.1016/S0020-7683(98)00187-5
S Li PA Mataga (1996a) ArticleTitleDynamic crack propagation in piezoelectric materials. Part 1: electrode solution J Mech Phys Solids 44 1799–1830 Occurrence Handle1420123 Occurrence Handle10.1016/0022-5096(96)00055-5 Occurrence Handle1054.74715 Occurrence Handle1996JMPSo..44.1799L
S Li PA Mataga (1996b) ArticleTitleDynamic crack propagation in piezoelectric materials. Part 1: vacuum solution J Mech Phys Solids 44 1831–1866 Occurrence Handle1420124 Occurrence Handle10.1016/0022-5096(96)00056-7 Occurrence Handle1055.74556 Occurrence Handle1996JMPSo..44.1831L
XF Li TY Fan XF Wu (2000) ArticleTitleA moving anti-plane crack at the interface between two dissimilar piezoelectric materials Int J Eng Sci 38 1219–1234 Occurrence Handle10.1016/S0020-7225(99)00072-5
M Liu KJ Hsia (2003) ArticleTitleInterfacial cracks between piezoelectric and elastic materials under in-plane electric loading J Mech Phys Solids 51 921–944 Occurrence Handle1038.74613 Occurrence Handle10.1016/S0022-5096(02)00120-5 Occurrence Handle2003JMPSo..51..921L
SA Meguid XD Wang (1998) ArticleTitleDynamic anti-plane behaviour of interacting cracks in a piezoelectric material Int J Frac 91 391–403 Occurrence Handle10.1023/A:1007521018293
F Norita Y Shindo (1999) ArticleTitleScattering of antiplane shear waves by a finite crack in piezoelectric laminates Acta Mech 134 27–43 Occurrence Handle1687230 Occurrence Handle10.1007/BF01170302
YE Pak (1990) ArticleTitleCrack extension force in a piezoelectric material ASME J Appl Mech 57 615–627
YE Pak (1992) ArticleTitleLinear electro-elastic fracture mechanics of piezoelectric materials Int J Frac 54 79–100
YE Pak E Goloubeva (1995) ArticleTitleInfluence of cracks on electroelastic properties of piezoelectric materials Adaptive material systems AMD 206 IssueIDMD 58 33–43
S Park CT Sun (1994) ArticleTitleCrack extension in piezoelectric materials SPIE 2189 357–368 Occurrence Handle1994SPIE.2189..357P
VZ Parton (1976) ArticleTitleFracture mechanics of piezoelectric materials Acta Astron 3 671–683 Occurrence Handle0351.73115 Occurrence Handle10.1016/0094-5765(76)90105-3
Y Shindo E Ozawa (1990) Dynamic analysis of a cracked piezoelectric material RKT Hsieh (Eds) Mechanical modelling of new electromagnetic materials Elsevier Amsterdam 297–304
Z Suo CM Kuo DM Barnett JR Willis (1992) ArticleTitleFracture mechanics for pieozoelectric ceramics J Mech Phys Solids 40 739–765 Occurrence Handle0825.73584 Occurrence Handle1163485 Occurrence Handle10.1016/0022-5096(92)90002-J Occurrence Handle1992JMPSo..40..739S
BL Wang JC Han SY Du (2000) ArticleTitleElectroelastic fracture dynamics for multi-layered piezoelectric materials under dynamic antiplane shearing Int J Solids Struct 37 5219–5231 Occurrence Handle0983.74056 Occurrence Handle10.1016/S0020-7683(99)00218-8
Q Wang ST Quek VK Varadan (2001) ArticleTitleLove waves in piezoelectric coupled solid media Smart Mater Struct 10 380–388 Occurrence Handle10.1088/0964-1726/10/2/325 Occurrence Handle2001SMaS...10..380W
XD Wang (2001) ArticleTitleOn the dynamic behaviour of interacting interfacial cracks in piezoelectric media Int J Solids Struct 38 815–831 Occurrence Handle1009.74020 Occurrence Handle10.1016/S0020-7683(00)00044-5
XD Wang SA Meguid (1997) ArticleTitleDiffraction of SH-wave by interacting matrix crack and an inhomogeneity ASME J Appl Mech 64 568–575 Occurrence Handle0899.73116 Occurrence Handle10.1115/1.2788930
XD Wang SA Meguid (2000) ArticleTitleModelling and analysis of the dynamic behaviour of piezoelectric materials containing interacting cracks Mech Mater 32 723–737 Occurrence Handle10.1016/S0167-6636(00)00043-0
TY Zhang CF Qian P Tong (1998) ArticleTitleLinear electro-elastic analysis of a cavity or a crack in a piezoelectric material Int J Solids Struct 35 2121–2149 Occurrence Handle0933.74024 Occurrence Handle10.1016/S0020-7683(97)00168-6
XH Zhao SA Meguid (2002) ArticleTitleOn the dynamic behaviour of a piezoelectric laminate with multiple interfacial collinear cracks Int J Solids Struct 40 2477–2494 Occurrence Handle10.1016/S0020-7683(02)00154-3
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Huang, G.L., Wang, X.D. On the dynamic behaviour of interfacial cracks between a piezoelectric layer and an elastic substrate. Int J Fract 141, 63–73 (2006). https://doi.org/10.1007/s10704-006-0062-y
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DOI: https://doi.org/10.1007/s10704-006-0062-y