Dineva, Petia ; Gross, Dietmar ; Müller, Ralf ; Rangelov, Tsviatko (2010)
BIEM analysis of dynamically loaded anti-plane cracks in graded piezoelectric finite solids.
In: International Journal of Solids and Structures, 47 (22-23)
doi: 10.1016/j.ijsolstr.2010.07.017
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
Anti-plane cracks in finite functionally graded piezoelectric solids under time-harmonic loading are studied via a non-hypersingular traction based boundary integral equation method (BIEM). The formulation allows for a quadratic variation of the material properties in two directions. The boundary integral equation (BIE) system is treated by using the frequency dependent fundamental solution based on Radon transforms. Its numerical solution provides the displacements and tractions on the external boundary as well as the crack opening displacements from which the mechanical stress intensity factor (SIF) and the electrical displacement intensity factor (EDIF) are determined. Several examples for single and multiple straight and curved cracks demonstrate the applicability of the method and show the influence of the different system parameters.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2010 |
| Autor(en): | Dineva, Petia ; Gross, Dietmar ; Müller, Ralf ; Rangelov, Tsviatko |
| Art des Eintrags: | Bibliographie |
| Titel: | BIEM analysis of dynamically loaded anti-plane cracks in graded piezoelectric finite solids |
| Sprache: | Englisch |
| Publikationsjahr: | November 2010 |
| Verlag: | Elsevier |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | International Journal of Solids and Structures |
| Jahrgang/Volume einer Zeitschrift: | 47 |
| (Heft-)Nummer: | 22-23 |
| DOI: | 10.1016/j.ijsolstr.2010.07.017 |
| URL / URN: | https://linkinghub.elsevier.com/retrieve/pii/S00207683100027... |
| Kurzbeschreibung (Abstract): | Anti-plane cracks in finite functionally graded piezoelectric solids under time-harmonic loading are studied via a non-hypersingular traction based boundary integral equation method (BIEM). The formulation allows for a quadratic variation of the material properties in two directions. The boundary integral equation (BIE) system is treated by using the frequency dependent fundamental solution based on Radon transforms. Its numerical solution provides the displacements and tractions on the external boundary as well as the crack opening displacements from which the mechanical stress intensity factor (SIF) and the electrical displacement intensity factor (EDIF) are determined. Several examples for single and multiple straight and curved cracks demonstrate the applicability of the method and show the influence of the different system parameters. |
| 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: | 03 Mai 2022 09:10 |
| Letzte Änderung: | 03 Mai 2022 09:10 |
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