Auxetic properties and anisotropy of elastic material constants of 2D crystalline media
Autor: | T. Paszkiewicz, S. Wolski, Cz. Jasiukiewicz |
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Rok vydání: | 2008 |
Předmět: |
Condensed Matter - Materials Science
Materials science Auxetics Condensed matter physics business.industry Materials Science (cond-mat.mtrl-sci) FOS: Physical sciences Modulus Young's modulus Condensed Matter Physics Symmetry (physics) Poisson's ratio Electronic Optical and Magnetic Materials Condensed Matter - Other Condensed Matter Shear modulus symbols.namesake Optics symbols business Anisotropy Elastic modulus Other Condensed Matter (cond-mat.other) |
Zdroj: | physica status solidi (b). 245:562-569 |
ISSN: | 1521-3951 0370-1972 |
DOI: | 10.1002/pssb.200777713 |
Popis: | Anisotropies of Young's modulus E, the shear modulus G, and Poisson's ratio of all 2D symmetry systems are studied. Simple necessary and sufficient conditions on their elastic compliances are derived to identify if any of these crystals are completely auxetic, non-auxetic and auxetic. Particular attention is paid to 2D crystals of quadratic symmetry. All mechanically stable quadratic crystals are characterized by three parameters belonging to a prism with the stability triangle in the base. Regions in the stability triangle in which quadratic materials are completely auxetic, non-auxetic, and auxetic are established. Examples of all types of auxetic properties of crystals of oblique and rectangular symmetry are presented. 17 pages, 9 figures |
Databáze: | OpenAIRE |
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