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Archive of Applied Mechanics

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02-01-2019 | Original

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

Authors: Petia Dineva, Marin Marinov, Tsviatko Rangelov

Published in: Archive of Applied Mechanics | Issue 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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Title: Dynamic fracture of a nano-cracked finite exponentially inhomogeneous piezoelectric solid
Authors: Petia Dineva
Marin Marinov
Tsviatko Rangelov
Publication date: 02-01-2019
Publisher: Springer Berlin Heidelberg
Published in: Archive of Applied Mechanics / Issue 7/2019
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI: https://doi.org/10.1007/s00419-018-01505-w

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