Elastic instabilities in dry, mesoporous minerals and their relevance to geological applications

Salje, E. K. H. and Koppensteiner, J. and Schranz, W. and Fritsch, E. (2010) Elastic instabilities in dry, mesoporous minerals and their relevance to geological applications. Mineralogical Magazine, 74 (2). pp. 341-350. DOI 10.1180/minmag.2010.074.2.341

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Abstract

The collapse of minerals and mineral assemblies under external stress is modelled using a master curve where the stress failure is related to the relative, effective elastic moduli which are in turn related to the porosity of the sample. While a universal description is known not to be possible, we argue that for most porous materials such as shales, silica, cement phases, hydroxyapatite, zircon and also carbonates in corals and agglomerates we can estimate the critical porosity φc at which small stresses will lead to the collapse of the sample. For several samples we find φc ∼0.5 with an almost linear decay of the bulk moduli with porosity at φc <0.5. The second scenario involves the persistence of elasticity for porosities until almost 1 whereby the bulk modulus decreases following a power law k ∼ (1-φm, m >2, between φ = 0.5 and φ = 1.

Item Type:	Article
Uncontrolled Keywords:	09AREP;
Subjects:	03 - Mineral Sciences
Divisions:	03 - Mineral Sciences
Journal or Publication Title:	Mineralogical Magazine
Volume:	74
Page Range:	pp. 341-350
Identification Number:	10.1180/minmag.2010.074.2.341
Depositing User:	Sarah Humbert
Date Deposited:	23 Mar 2012 18:06
Last Modified:	23 Jul 2013 10:03
URI:	http://eprints.esc.cam.ac.uk/id/eprint/2425

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