An analysis of microstructural parameters in the minimum contact area model for ultrasonic velocity-porosity relations
IR@CGCRI: CSIR-Central Glass and Ceramic Research Institute, Kolkata
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| Title |
An analysis of microstructural parameters in the minimum contact area model for ultrasonic velocity-porosity relations
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| Creator |
Mukhopadhyay, A K
Phani, K K |
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| Description |
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.
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| Publisher |
Elsevier, European Ceramic Society
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| Date |
2000-01
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| Type |
Article
PeerReviewed |
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| Format |
application/pdf
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| Identifier |
http://cgcri.csircentral.net/748/1/748.pdf
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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| Relation |
http://cgcri.csircentral.net/748/
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