A renormalisation approach to wave propagation in 0-3/3-3 connectivity composites

Author

Mulholland, Anthony J. ; Alvarez-Arenas, Tomas Gómez ; Hayward, Gordon ; Gomatam, Jagannathan

Author_Institution

Dept. of Math., Strathclyde Univ., Glasgow, UK

Volume

2

fYear

1999

fDate

1999

Firstpage

961

Abstract

Particulate composite materials with variable connectivity are encountered extensively in ultrasonic applications. Examples include a wide range of propagation media, active piezocomposite transducers, matching layers and backing materials. The manner in which mechanical waves propagate in such materials depends strongly on particle distribution and dimensions, in addition to volume fraction. In this paper a commercial finite element package is used to study wave propagation through a realistic model of the complex microstructure of such composites. We also mathematically model a particular class of deterministically generated fractal composites using renormalisation and demonstrate this methodology by examining the propagation of a wave impulse through the Sierpinski Gasket

Keywords

composite materials; elastic waves; piezoceramics; renormalisation; surface acoustic waves; ultrasonic propagation; 0-3/3-3 connectivity composites; Sierpinski Gasket; active piezocomposite transducers; backing materials; commercial finite element package; complex microstructure; dimensions; fractal composites; matching layers; mechanical waves propagation; particle distribution; propagation media; renormalisation approach; ultrasonic applications; wave propagation; Acoustic propagation; Boundary conditions; Composite materials; Finite element methods; Fractals; Gaskets; Geometry; Microstructure; Particle measurements; Solid modeling;

fLanguage

English

Publisher

ieee

Conference_Titel

Ultrasonics Symposium, 1999. Proceedings. 1999 IEEE

Conference_Location

Caesars Tahoe, NV

ISSN

1051-0117

Print_ISBN

0-7803-5722-1

Type

conf

DOI

10.1109/ULTSYM.1999.849148

Filename

849148