2010
DOI: 10.1002/pssb.200945443
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Auxetic properties of polycrystals

Abstract: Young's and shear moduli and Poisson's ratio of polycrystalline solids consisting of 2D quadratic and 3D cubic randomly oriented grains of the same size and shape is studied. Considered polycrystals are initially unstrained. It is shown that for such polycrystals the division of the mechanical stability regions into areas of various auxeticity properties is different than for monocrystalline solids. In particular the regions of complete auxeticity enlarge.

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Cited by 5 publications
(5 citation statements)
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“…Depending on whether negative values of Poisson ratio are observed in all crystallographic directions, in some of them or in none of them, one can define all materials as auxetics, partial auxetics and nonauxetics, respectively (). Recently, increasing interest in studies of auxetic materials and models was observed .…”
Section: Introductionmentioning
confidence: 99%
“…Depending on whether negative values of Poisson ratio are observed in all crystallographic directions, in some of them or in none of them, one can define all materials as auxetics, partial auxetics and nonauxetics, respectively (). Recently, increasing interest in studies of auxetic materials and models was observed .…”
Section: Introductionmentioning
confidence: 99%
“…1 For two dimensional materials, the boundaries and sizes of the individual grains are not only more easily investigable, but the line-like quality of the grain boundaries grants variation in mechanical properties unable to be found in traditional three dimensional materials. 2 Of the many kinds of 2D materials currently drawing attention, hexagonal boron nitride has become the topic of research due to its structural equivalency to graphene and outstanding properties. Hexagonal boron nitride is an atomic lattice structure similar to graphene, but composed of the heterogeneous atoms boron and nitrogen in place of carbon.…”
Section: Introductionmentioning
confidence: 99%
“…[53][54][55] These grain boundaries weaken the tensile properties of the resulting structure and decrease the electrical and thermal conductivity of graphene, in general making polygraphene less desirable as a source material. 6,[56][57][58][59][60] However, a crumpled structure is not meant for tensile stress, and the nature of its bends and folds are already an impediment to the transport of electricity and heat. In this case, perhaps a cheaper alternative to the production of crumpled pristine graphene structures is the production of crumpled polygraphene structures.…”
Section: Introductionmentioning
confidence: 99%