Slowness Surfaces and Energy Focusing Patterns of Auxetic Cubic Media

Abstract

Abstract:We study properties of slowness surfaces and energy focusing patterns of cubic elastic media. We restricted ourselves to the region of the stability triangle where Poisson's ratio σ P of the specimen stretched in the [001] direction and measured for [100] is negative, i.e. we consider all cubic auxetic materials. We study properties of surfaces and energy focusing patterns for all elastic auxetic media characterized by σ P = -1/3.

Elastic properties of cubic crystals: Every's versus Blackman's diagram

“…Similarly to the Fermi surfaces of metals, the slowness surfaces (s-surfaces) play a distinguished role in transport phenomena in gases of long-wavelength acoustic phonons (cf. [6]). The branches of such phonons are indicated by the index j = 0, 1, 2.…”

Negative Poisson’s ratio of two-dimensional hard cyclic tetramers

“…During last decade, there has been an increasing interest in the discovery and investigation of different physical systems [2][3][4][5][6][7][8][9][10][11][12] and/or models [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27] which exhibit auxetic behavior (negative Poisson's ratio). This interest is motivated by at least two reasons.…”

Poisson's ratio of simple planar ‘isotropic’ solids in two dimensions

“…In recent years one can observe growing interest in studies of systems exhibiting anomalous (negative) Poisson's ratio . This comes both from increasing number of possible applications of materials showing this unusual property [29][30][31][32] and from interest in understanding fundamental mechanisms leading to it [33][34][35].…”