Acoustic phonons in cubic media: properties of their polarizations and of the diffusion coefficient

Paszkiewicz, T.; Pruchnik, M.

doi:10.1007/s100510170026

Cited by 6 publications

(10 citation statements)

References 1 publication

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For acoustic and elastic characteristics the parameter s 1 is a scaling parameter (cf. [7], [10]). In Figs.1 and 2 we show changes of the division of STs in two regions into various auxetic properties.…”

Section: The Stability Conditions For Initially Unstressed Crystallinmentioning

confidence: 99%

See 1 more Smart Citation

Quadratic and cubic monocrystalline and polycrystalline materials: their stability and mechanical properties

Jasiukiewicz¹,

Paszkiewicz²,

Wołski³

2010

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

We consider 2-and 3-dimensional cubic monocrystalline and polycrystalline materials. Expressions for Young's and shear moduli and Poisson's ratio are expressed in terms of eigenvalues of the stiffness tensor. Such a form is well suited for studying properties of these mechanical characteristics on sides of the stability triangles. For crystalline highsymmetry directions lines of vanishing Poisson's ratio are found. These lines demarcate regions of the stability triangle into areas of various auxeticity properties. The simplest model of polycrystalline 2D and 3D cubic materials is considered. In polycrystalline phases the region of complete auxetics is larger than for monocrystalline materials.

show abstract

Section: The Stability Conditions For Initially Unstressed Crystallinmentioning

confidence: 99%

“…Because of Eq. (1) s I = c −1 I vanishing eigenvalues c I (I = J, L, M ) signal instabilities related to phase transitions [7].…”

Section: The Stability Conditions For Initially Unstressed Crystallinmentioning

confidence: 99%

Quadratic and cubic monocrystalline and polycrystalline materials: their stability and mechanical properties

Jasiukiewicz¹,

Paszkiewicz²,

Wołski³

2010

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

show abstract

“…As we shown [5], the stability triangle abc, can be divided into four separate regions in which corresponding crystalline media exhibit different acoustic properties. These regions are shown in Fig.…”

Section: Zx-poisson's Ratiomentioning

confidence: 99%

“…As a rule the fast mode is quasilongitudinal and the remaining modes are quasitransverse. However, there exists regions on ST and directions for which j = 0 mode is quasitransverse and at least one of the remaining modes is quasilongitudinal [5] (cf. also Sect.…”

Section: Properties Of Long-wavelength Acoustic Phononsmentioning

confidence: 99%

See 1 more Smart Citation

Slowness Surfaces and Energy Focusing Patterns of Auxetic Cubic Media

Paszkiewicz¹,

Pruchnik²,

Wołski³

2004

CMST

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Anisotropic properties of mechanical characteristics and auxeticity of cubic crystalline media

Paszkiewicz

Wołski

2007

Physica Status Solidi (b)

Self Cite

View full text Add to dashboard Cite

Explicit expressions for inverse of Young's modulus ( ) E n , inverse of shear modulus ( ) G , n m , and Poisson's ratio ( ) ν , n m for cubic media are considered. All these characteristics of elastic media depend on components 11 S , 12 S and 44 S of the compliance tensor S , and on direction cosines of mutually perpendicular vectors n and m with fourfold symmetry axes. These characteristics are studied for all mechanically stable cubic materials for vectors n belonging to the irreducible body angle subtended by three cubic high symmetry directions

show abstract

Acoustic phonons in cubic media: properties of their polarizations and of the diffusion coefficient

Cited by 6 publications

References 1 publication

Quadratic and cubic monocrystalline and polycrystalline materials: their stability and mechanical properties

Quadratic and cubic monocrystalline and polycrystalline materials: their stability and mechanical properties

Slowness Surfaces and Energy Focusing Patterns of Auxetic Cubic Media

Anisotropic properties of mechanical characteristics and auxeticity of cubic crystalline media

Contact Info

Product

Resources

About