DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: The effect of fluid and solid properties on the auxetic behavior of porous materials having rock-like microstructures

Abstract

Materials with a negative Poisson's Ratio (PR), known as auxetics, exhibit the counterintuitive behavior of becoming wider when uniaxially stretched and thinner when compressed. Though negative PR is characteristic of polymer foams or cellular solids, tight as well as highly porous rocks have also been reported to exhibit negative PR. The paper proposes a novel auxetic structure based on pore-space configuration observed in rocks. We developed a theoretical auxetic 3D model consisting of rotating rigid bodies. To alleviate the mechanical assumption of rotating bodies, the theoretical model was modified to include crack-like features being represented by intersecting, elliptic cylinders. We then used a 3D printer to create a physical version of the modified model, whose PR was tested. We also numerically explored how the compressibility of fluids located in the pore-space of the modified model as well as how the elastic properties of the material from which the model is made of affect its auxetic behavior. Here, we conclude that for a porous medium composed of a single material saturated with a single fluid (a) the more compliant the fluid is and (b) the lower the PR of the solid material, the lower the PR value of the composite material.

Authors:
; ;
Publication Date:
Research Org.:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1580687
Alternate Identifier(s):
OSTI ID: 1416344; OSTI ID: 1549274
Grant/Contract Number:  
EAR-1451345; AC02-76SF00515; 76SF00515
Resource Type:
Published Article
Journal Name:
International Journal of Solids and Structures
Additional Journal Information:
Journal Name: International Journal of Solids and Structures Journal Volume: 130-131 Journal Issue: C; Journal ID: ISSN 0020-7683
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 3D auxetic structure; Rock microstructure; Rotating pyramids

Citation Formats

Wollner, U., Vanorio, T., and Kiss, A. M. The effect of fluid and solid properties on the auxetic behavior of porous materials having rock-like microstructures. United States: N. p., 2018. Web. doi:10.1016/j.ijsolstr.2017.09.033.
Wollner, U., Vanorio, T., & Kiss, A. M. The effect of fluid and solid properties on the auxetic behavior of porous materials having rock-like microstructures. United States. https://doi.org/10.1016/j.ijsolstr.2017.09.033
Wollner, U., Vanorio, T., and Kiss, A. M. Mon . "The effect of fluid and solid properties on the auxetic behavior of porous materials having rock-like microstructures". United States. https://doi.org/10.1016/j.ijsolstr.2017.09.033.
@article{osti_1580687,
title = {The effect of fluid and solid properties on the auxetic behavior of porous materials having rock-like microstructures},
author = {Wollner, U. and Vanorio, T. and Kiss, A. M.},
abstractNote = {Materials with a negative Poisson's Ratio (PR), known as auxetics, exhibit the counterintuitive behavior of becoming wider when uniaxially stretched and thinner when compressed. Though negative PR is characteristic of polymer foams or cellular solids, tight as well as highly porous rocks have also been reported to exhibit negative PR. The paper proposes a novel auxetic structure based on pore-space configuration observed in rocks. We developed a theoretical auxetic 3D model consisting of rotating rigid bodies. To alleviate the mechanical assumption of rotating bodies, the theoretical model was modified to include crack-like features being represented by intersecting, elliptic cylinders. We then used a 3D printer to create a physical version of the modified model, whose PR was tested. We also numerically explored how the compressibility of fluids located in the pore-space of the modified model as well as how the elastic properties of the material from which the model is made of affect its auxetic behavior. Here, we conclude that for a porous medium composed of a single material saturated with a single fluid (a) the more compliant the fluid is and (b) the lower the PR of the solid material, the lower the PR value of the composite material.},
doi = {10.1016/j.ijsolstr.2017.09.033},
journal = {International Journal of Solids and Structures},
number = C,
volume = 130-131,
place = {United States},
year = {Mon Jan 01 00:00:00 EST 2018},
month = {Mon Jan 01 00:00:00 EST 2018}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.ijsolstr.2017.09.033

Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Viscoelastic properties of fluid-saturated cracked solids
journal, December 1977

  • O'Connell, Richard J.; Budiansky, Bernard
  • Journal of Geophysical Research, Vol. 82, Issue 36
  • DOI: 10.1029/JB082i036p05719

Poisson's ratio for anisotropic elastic materials can have no bounds
journal, February 2005

  • Ting, T. C. T.; Chen, Tungyang
  • The Quarterly Journal of Mechanics and Applied Mathematics, Vol. 58, Issue 1
  • DOI: 10.1093/qjmamj/hbh021

Rotation and dilation deformation mechanisms for auxetic behaviour in the ?-cristobalite tetrahedral framework structure
journal, November 2001

  • Evans, K. E.; Alderson, A.
  • Physics and Chemistry of Minerals, Vol. 28, Issue 10
  • DOI: 10.1007/s002690100209

Evolving fracture patterns: columnar joints, mud cracks and polygonal terrain
journal, December 2013

  • Goehring, Lucas
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 371, Issue 2004
  • DOI: 10.1098/rsta.2012.0353

Poisson's ratio values for rocks
journal, January 2007


Poisson's ratio and modern materials
journal, October 2011

  • Greaves, G. N.; Greer, A. L.; Lakes, R. S.
  • Nature Materials, Vol. 10, Issue 11
  • DOI: 10.1038/nmat3134

Effects of changes in rock microstructures on permeability: 3-D printing investigation: PERMEABILITY OF PRINTED MICROSTRUCTURES
journal, July 2016


Fracture toughness of re-entrant foam materials with a negative Poisson's ratio: experiment and analysis
journal, January 1996

  • Choi, J. B.; Lakes, R. S.
  • International Journal of Fracture, Vol. 80, Issue 1
  • DOI: 10.1007/BF00036481

Auxetic behavior from rotating triangles
journal, March 2006


Existence of a negative Poisson ratio in fcc crystals
journal, February 1979


Molecular network design
journal, September 1991

  • Evans, K. E.; Nkansah, M. A.; Hutchinson, I. J.
  • Nature, Vol. 353, Issue 6340
  • DOI: 10.1038/353124a0

Effective elastic properties of auxetic microstructures: anisotropy and structural applications
journal, May 2012

  • Dirrenberger, Justin; Forest, Samuel; Jeulin, Dominique
  • International Journal of Mechanics and Materials in Design, Vol. 9, Issue 1
  • DOI: 10.1007/s10999-012-9192-8

Mechanical anisotropy of columnar jointed basalts: An example from the Baihetan hydropower station, China
journal, June 2014


Passive and MR Fluid-coated Auxetic PU Foam – Mechanical, Acoustic, and Electromagnetic Properties
journal, December 2004

  • Scarpa, F.; Smith, F. C.
  • Journal of Intelligent Material Systems and Structures, Vol. 15, Issue 12
  • DOI: 10.1177/1045389X04046610

Auxetic behavior from rotating squares
journal, January 2000

  • Grima, J. N.; Evans, K. E.
  • Journal of Materials Science Letters, Vol. 19, Issue 17, p. 1563-1565
  • DOI: 10.1023/A:1006781224002

Indentability of Conventional and Negative Poisson's Ratio Foams
journal, December 1993


The effect of saturation on velocity in low porosity rocks
journal, November 1969


Negative Poisson's ratios as a common feature of cubic metals
journal, March 1998

  • Baughman, Ray H.; Shacklette, Justin M.; Zakhidov, Anvar A.
  • Nature, Vol. 392, Issue 6674
  • DOI: 10.1038/32842

Composite materials with poisson's ratios close to — 1
journal, July 1992


Poisson was not a geophysicist!
journal, December 1990


Differences between static and dynamic elastic moduli of a typical seismogenic rock
journal, April 2004


Auxetic two-dimensional polymer networks. An example of tailoring geometry for specific mechanical properties
journal, January 1995

  • Evans, Ken E.; Alderson, Andrew; Christian, Frances R.
  • Journal of the Chemical Society, Faraday Transactions, Vol. 91, Issue 16
  • DOI: 10.1039/ft9959102671

Elastodynamics of a Two-Dimensional Square Lattice With Entrained Fluid—Part I: Comparison With Biot's Theory
journal, February 2014

  • Dorodnitsyn, Vladimir; Spadoni, Alessandro
  • Journal of Vibration and Acoustics, Vol. 136, Issue 2
  • DOI: 10.1115/1.4026349

Do Zeolites Have Negative Poisson’s Ratios?
journal, December 2000


Experimental quantification of permeability of partially molten mantle rock
journal, February 2014

  • Miller, Kevin J.; Zhu, Wen-lu; Montési, Laurent G. J.
  • Earth and Planetary Science Letters, Vol. 388
  • DOI: 10.1016/j.epsl.2013.12.003

A three-dimensional rotating rigid units network exhibiting negative Poisson's ratios
journal, May 2012


Foam Structures with a Negative Poisson's Ratio
journal, February 1987


Negative Poisson’s ratio in a transversely isotropic foam structure
journal, June 1990

  • Warren, Thomas L.
  • Journal of Applied Physics, Vol. 67, Issue 12
  • DOI: 10.1063/1.345826

Negative Poisson's ratios in cellular foam materials
journal, May 2006

  • Grima, Joseph N.; Gatt, Ruben; Ravirala, Naveen
  • Materials Science and Engineering: A, Vol. 423, Issue 1-2
  • DOI: 10.1016/j.msea.2005.08.229

Scale effects on velocity dispersion: From ray to effective medium theories in stratified media
journal, October 1994

  • Marion, Dominique; Mukerji, Tapan; Mavko, Gary
  • GEOPHYSICS, Vol. 59, Issue 10
  • DOI: 10.1190/1.1443550

Auxetic behavior under electrical loads in an induced ferroelectric phase
journal, January 2009

  • Tan, X.; Jo, W.; Granzow, T.
  • Applied Physics Letters, Vol. 94, Issue 4
  • DOI: 10.1063/1.3076109

Low Porosity Metallic Periodic Structures with Negative Poisson's Ratio
journal, December 2013

  • Taylor, Michael; Francesconi, Luca; Gerendás, Miklós
  • Advanced Materials, Vol. 26, Issue 15
  • DOI: 10.1002/adma.201304464

Mechanical characterization of skin—Finite deformations
journal, January 1970


Microtomography of Partially Molten Rocks: Three-Dimensional Melt Distribution in Mantle Peridotite
journal, March 2011


Auxetic polymers: a new range of materials
journal, January 1991


Method of pulse transmission measurements for determining sound velocities
journal, October 1967

  • Mattaboni, Paul; Schreiber, Edward
  • Journal of Geophysical Research, Vol. 72, Issue 20
  • DOI: 10.1029/JZ072i020p05160