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Erschienen in: Archive of Applied Mechanics 7/2019

02.01.2019 | Original

Dynamic fracture of a nano-cracked finite exponentially inhomogeneous piezoelectric solid

verfasst von: Petia Dineva, Marin Marinov, Tsviatko Rangelov

Erschienen in: Archive of Applied Mechanics | Ausgabe 7/2019

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Abstract

Aim of the study is to develop, verify and apply in simulations an efficient non-hypersingular traction boundary integral equation method for solution of anti-plane dynamic problem of a finite exponentially inhomogeneous piezoelectric solid with a nano-crack. The modeling approach is in the frame of continuum mechanics, wave propagation theory, the Gurtin and Murdoch surface elasticity theory and linear fracture mechanics. The simulations reveal the dependence of the stress concentration factors on the electromechanical coupling, on the type and characteristics of the dynamic load, on the position-dependent material properties, on the surface elasticity, on the size effect and on the wave–nanocrack–material gradient interaction in a bounded solid.

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Metadaten
Titel
Dynamic fracture of a nano-cracked finite exponentially inhomogeneous piezoelectric solid
verfasst von
Petia Dineva
Marin Marinov
Tsviatko Rangelov
Publikationsdatum
02.01.2019
Verlag
Springer Berlin Heidelberg
Erschienen in
Archive of Applied Mechanics / Ausgabe 7/2019
Print ISSN: 0939-1533
Elektronische ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-018-01505-w

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