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Poisson's Ratio and Auxetic Properties of Natural Rocks
Author(s) -
Ji Shaocheng,
Li Le,
Motra Hem Bahadur,
Wuttke Frank,
Sun Shengsi,
Michibayashi Katsuyoshi,
Salisbury Matthew H.
Publication year - 2018
Publication title -
journal of geophysical research: solid earth
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.983
H-Index - 232
eISSN - 2169-9356
pISSN - 2169-9313
DOI - 10.1002/2017jb014606
Subject(s) - quartz , geology , auxetics , coesite , mineralogy , poisson's ratio , metamorphic rock , anorthite , feldspar , igneous rock , siltstone , isotropy , petrology , geochemistry , composite material , materials science , poisson distribution , structural basin , geomorphology , mathematics , paleontology , statistics , facies , tectonics , quantum mechanics , physics , eclogite , subduction
Here we provide an appraisal of the Poisson's ratios ( υ ) for natural elements, common oxides, silicate minerals, and rocks with the purpose of searching for naturally auxetic materials. The Poisson's ratios of equivalently isotropic polycrystalline aggregates were calculated from dynamically measured elastic properties. Alpha‐cristobalite is currently the only known naturally occurring mineral that has exclusively negative υ values at 20–1,500°C. Quartz and potentially berlinite (AlPO 4 ) display auxetic behavior in the vicinity of their α ‐ β structure transition. None of the crystalline igneous and metamorphic rocks (e.g., amphibolite, gabbro, granite, peridotite, and schist) display auxetic behavior at pressures of >5 MPa and room temperature. Our experimental measurements showed that quartz‐rich sedimentary rocks (i.e., sandstone and siltstone) are most likely to be the only rocks with negative Poisson's ratios at low confining pressures (≤200 MPa) because their main constituent mineral, α ‐quartz, already has extremely low Poisson's ratio ( υ = 0.08) and they contain microcracks, micropores, and secondary minerals. This finding may provide a new explanation for formation of dome‐and‐basin structures in quartz‐rich sedimentary rocks in response to a horizontal compressional stress in the upper crust.