nach oben

Erschienen in:

2014 | OriginalPaper | Buchkapitel

6. 2D Wave Scattering by Cracks in a Piezoelectric Plane

verfasst von : Petia Dineva, Dietmar Gross, Ralf Müller, Tsviatko Rangelov

Erschienen in: Dynamic Fracture of Piezoelectric Materials

Verlag: Springer International Publishing

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

Scattering and diffraction of time-harmonic plane waves by a finite crack in a homogeneous piezoelectric plane under plane strain conditions is studied. The BIEM procedure is applied to straight cracks, as well as to curved cracks under incident longitudinal waves and under vertically polarized shear waves. The SIFs results are compared with those available in the literature. Furthermore, their dependence on parameters like frequency, angle of incidence, wave type, crack geometry and material properties is discussed.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Vorheriges Kapitel Steady-State Problems in a Cracked Anisotropic Domain

Nächstes Kapitel Piezoelectric Cracked Finite Solids Under Time-Harmonic Loading

Benjeddou A (2000) Advances in piezoelectric finite element modeling of adaptive structural elements: a survey. Comput Struct 76(1–3):347–363CrossRef

Chen ZT, Lin FZ (1995) Boundary integral formulations for three-dimensional anisotropic piezoelectric solids. Comput Mech 15(6):485–496CrossRefMATH

Chen ZT, Yu S (1998) Anti-plane vibration of cracked piezoelectric materials. Mech Res Commun 25(3):321–327CrossRefMATH

Davi G, Milazzo A (2001) Multidomain boundary integral formulation for piezoelectric materials fracture mechanics. Int J Solids Struct 38:7065–7078CrossRefMATH

Denda M, Lua J (1999) Development of the boundary element method for 2D piezoelectricity. Compos B 30:699–707CrossRef

Dineva P, Gross D, Rangelov T (2006) Wave scattering in cracked piezoelectric materials—a BIEM approach. J Theor Appl Mech 36(2):65–88

Garcia-Sanchez F, Saez A, Dominguez J (2005) Anisotropic and piezoelectric materials fracture analysis by BEM. Comput Struct 83:804–820CrossRef

Gross D, Rangelov T, Dineva P (2005) 2D Wave scattering by a crack in a piezoelectric plane using traction BIEM. Struct Integr Dur 1(1):35–47

Hill LR, Farris NT (1998) Three-dimensional piezoelectric boundary element method. AIAA J 36(1):102–108CrossRefMATH

10.

Khutoryansky NM, Sosa H (1995a) Dynamic representation formulas and fundamental solutions for piezoelectricity. Int J Solids Struct 32:3307–3325CrossRefMATHMathSciNet

11.

Kumar S, Singh RN (1997a) Energy release rate and crack propagation in piezoelectric materials: mechanical/electrical load. Acta Mater 45:849–858CrossRef

12.

Kumar S, Singh RN (1997b) Energy release rate and crack propagation in piezoelectric materials: combined mechanical and electrical load. Acta Mater 45:859–868CrossRef

13.

Lee JS (1995) Boundary element method for electroelastic interaction in piezoceramics. Eng Anal Bound Elem 15:321–328CrossRef

14.

McMeeking RM (1999) Crack tip energy relase rate for a piezoelectric compact tension specimen. Eng Fract Mech 64:217–244CrossRef

15.

Narita F, Shindo Y (1998) Dynamic anti-plane shear of a cracked piezoelectric ceramic. Theor Appl Mech 29:169–180CrossRef

16.

Pak YE (1990) Crack extension force in a piezoelectric material. ASME J Appl Mech 57:647–653CrossRefMATH

17.

Pan E (1999) A BEM analysis of fracture mechanics in 2D anisotropic piezoelectric solids. Eng Anal Bound Elem 23:67–76CrossRefMATH

18.

Parton VZ (1976) Fracture mechanics of piezoelectric materials. Acta Astronaut 3:671–683CrossRefMATH

19.

Parton VZ, Kudryavtsev BA (1988) Electromagnetoelasticity. Gordon and Breach, New York

20.

Ray MC, Bhattacharya B, Samanta B (1998) Exact solutions for dynamic analysis of composite plates with distributed piezoelectric layers. Comput Struct 66(6):737–743CrossRefMATH

21.

Shang F, Kuna K, Abendroth M (2003) Finite element analysis of three-dimensional crack problems in piezoelectric structures. Eng Fract Mech 70:143–160CrossRef

22.

Shindo Y, Ozawa E (1990) Dynamic analysis of a cracked piezoelectric material. In: Hsieh RKT (ed) Mechanical modeling of new electromagnetic materials. Elsevier, Amsterdam, p 297–304

23.

Shindo Y, Katsura H, Yan W (1996) Dynamic stress intensity factor of a cracked dielectric medium in a uniform electric field. Acta Mech 117:1–10CrossRefMATH

24.

Sih GC (1977) Mechanics of fracture 4, elastodynamic crack problems. Noordhoff International Publishing, Leyden

25.

Sommerfeld A (1949) Partial differential equations in physics. Academic Press, New York

26.

Sosa H (1992) On the fracture mechanics of piezoelectric solids. Int J Solids Struct 29:2613–2622CrossRefMATH

27.

Wang BL, Noda N (2000) A cracked piezoelectric material under generalized plane electromechanical impact. Arch Mech 52(6):933–948MATH

28.

Wang XD, Meguid SA (2000a) Effect of electromechanical coupling on the dynamic interaction of cracks in piezoelectric materials. Acta Mech 143:1–15CrossRefMATH

29.

Wang XD, Meguid SA (2000b) Modelling and analysis of the dynamic behaviour of piezoelectric materials containing interfacing cracks. Mech Mater 32:723–737CrossRef

30.

Xu LY, Rajapakse RKND (1998) Boundary element analysis of piezoelectric solids with defects. Eng Fract Mech 29B:655–669

31.

Xu LY, Rajapakse RKND (2000) A theoretical study of branched cracks in piezoelectrics. Acta Mater 48:1865–1882CrossRef

32.

Zhao X, Meguid SA (2002) On the dynamic behavior of a piezoelectric laminate with multiple interfacial collinear cracks. Int J Solids Struct 39:2477–2494CrossRefMATH

Titel: 2D Wave Scattering by Cracks in a Piezoelectric Plane
verfasst von: Petia Dineva
Dietmar Gross
Ralf Müller
Tsviatko Rangelov
Verlag: Springer International Publishing
Buch: Dynamic Fracture of Piezoelectric Materials
Print ISBN: 978-3-319-03960-2

Electronic ISBN: 978-3-319-03961-9

Copyright-Jahr: 2014
DOI: https://doi.org/10.1007/978-3-319-03961-9_6

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Springer Professional "Wirtschaft"