Müller, Ralf ; Dineva, Petia ; Rangelov, Tsviatko ; Gross, Dietmar (2012)
Anti-plane dynamic hole–crack interaction in a functionally graded piezoelectric media.
In: Archive of Applied Mechanics, 82 (1)
doi: 10.1007/s00419-011-0541-0
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
The anti-plane dynamic problem of a functionally graded piezoelectric plane containing a hole–crack system is treated by a non-hypersingular traction-based boundary integral equation method. 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. Using a frequency-dependent fundamental solution of the wave equation, the boundary value problem is transformed into a system of integro-differential equations along the boundary of the hole and on the crack line. Its numerical solution yields the dynamic stress intensity factors and stress concentration factors. A parametric study reveals their dependence on the hole–crack scenario and its geometry, characteristics of the dynamic load and magnitude and direction of material inhomogeneity.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2012 |
| Autor(en): | Müller, Ralf ; Dineva, Petia ; Rangelov, Tsviatko ; Gross, Dietmar |
| Art des Eintrags: | Bibliographie |
| Titel: | Anti-plane dynamic hole–crack interaction in a functionally graded piezoelectric media |
| Sprache: | Englisch |
| Publikationsjahr: | Januar 2012 |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Archive of Applied Mechanics |
| Jahrgang/Volume einer Zeitschrift: | 82 |
| (Heft-)Nummer: | 1 |
| DOI: | 10.1007/s00419-011-0541-0 |
| URL / URN: | http://link.springer.com/10.1007/s00419-011-0541-0 |
| Kurzbeschreibung (Abstract): | The anti-plane dynamic problem of a functionally graded piezoelectric plane containing a hole–crack system is treated by a non-hypersingular traction-based boundary integral equation method. 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. Using a frequency-dependent fundamental solution of the wave equation, the boundary value problem is transformed into a system of integro-differential equations along the boundary of the hole and on the crack line. Its numerical solution yields the dynamic stress intensity factors and stress concentration factors. A parametric study reveals their dependence on the hole–crack scenario and its geometry, characteristics of the dynamic load and magnitude and direction of material inhomogeneity. |
| Fachbereich(e)/-gebiet(e): | 13 Fachbereich Bau- und Umweltingenieurwissenschaften 13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik 13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik > Fachgebiet Kontinuumsmechanik |
| Hinterlegungsdatum: | 04 Mär 2022 06:46 |
| Letzte Änderung: | 04 Mär 2022 06:46 |
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