Mukhopadhyay, A K and Phani, K K (2000) An analysis of microstructural parameters in the minimum contact area model for ultrasonic velocity-porosity relations. Journal of the European Ceramic Society, 20 (1). pp. 29-38. ISSN 0955-2219

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Abstract

The relationship between the normalised ultrasonic velocity (v=v0) and the volume fraction (P) of pores in porous materials has been derived on the basis of a minimum solid area of contact model. It considers the development of the minimum solid area of contact during the sintering of an assembly of monosized spheres stacked in simple cubic packing. It is shown that by using a single model parameter ``c'', related to the e�ective aspect ratio ``�'' of spheroidal pores; it is possible to predict the trends in variation of the experimental (v=v0 versus P) data of hot pressed silicon carbide (SiC), hot pressed silicon nitride (HPSN), reaction bonded sili- con nitride (RBSN), porcelain, ceramic superconductors based on YBCO system, sintered iron and tungsten powder compacts as well as alumina. In addition, it was found that a single relation describes the behaviour of both longitudinal and transverse wave velocity as a function of pore volume fraction in all but the ceramic superconductors of the aforesaid materials. Finally, it is pro- posed that for all practical purposes, the analytical relation derived in the present work, can be e�ciently approximated by an empirical relationship: v=v0 ��1 ÿ a1P�n, where the subscript zero refers to the material of theoretical density and a1, n are ®tting parameters. # 1999 Elsevier Science Ltd. All rights reserved.

Item Type:	Article
Uncontrolled Keywords:	modelling; ultrasonic velocity; non-destructive evaluation; porosity
Subjects:	UNSPECIFIED
Divisions:	UNSPECIFIED
Depositing User:	Mrs Chandana Patra
Date Deposited:	10 Feb 2012 07:36
Last Modified:	10 Feb 2012 07:36
URI:	http://cgcri.csircentral.net/id/eprint/748

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