Auxetic properties and anisotropy of elastic material constants of 2D crystalline media
Cz. Jasiukiewicz, T. Paszkiewicz, S. Wolski
Abstract
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.
Create a lesson
Related papers
Real-space overlap is not enough: ambiguity in nanobeam iterative ptychography
Stephanie M. Ribet, Mohsen Danaie, Willem P. M. de Kleijne et al.
Covariant formula for the driving force for interface migration
Adam Morawiec
Coexisting Large and Small Polarons in Photoexcited CeO2
Valentina Mazzotti, Eleonora Spurio, Nicolas Delnour et al.
Attosecond Reconstruction of Strain Tensors via Electronic Fingerprints
Jing Li, Jiayu Yan, Guoyong Yuan et al.
Two-step transient liquid phase bonding of NiTi to Ti-6Al-4V through a NbZrW barrier
Zhaoxi Cao, Samuel Price, John P. Reidy et al.
Libron-phonon coupling and hydrogen-bond dynamics in the vacancy-ordered perovskite (NH4)2SnCl6: a temperature- and pressure-dependent Raman study
Vasco S. Neto, Mayra A. P. Gómez, Bruno S. Araújo et al.