56 citations · 729 across the 51 of their papers we have counts for
52 papers
Acoustic axes conditions revised
Yakov Itin
The explanation of the basic acoustic properties of crystals requires a recognition of the acoustic axes. To derive the acoustic axes in a given material, one requires both a worka…
Reduced Cristoffel's tensor and acoustic axes: Necessary and sufficient condition
Yakov Itin
Acoustic axes are spatial directions in media (often crystals) where at least two of the three acoustic waves have the same phase velocity. Identification of such directions for ma…
Cauchy relations in linear elasticity: Algebraic and physics aspects
Yakov Itin
The Cauchy relations distinguish between rari- and multi-constant linear elasticity theories. These relations are treated in this paper in a form that is invariant under two groups…
Hilbert's energy-momentum tensor extended
Yakov Itin
A variational derivative of a Lagrangian with regard to the metric tensor is used in classical field models to define Hilbert's energy-momentum tensor for a matter field. In solid-…
On the pseudo-Riemann's quartics in Finsler's geometry
Yakov Itin
An extension of Riemmann's geometry into a direction dependent geometric structure is usually described by Finsler's geometry. Historically, this construction was motivated by the…
Decomposition of third-order constitutive tensors
Yakov Itin, Shulamit Reches
Third-order tensors are widely used as a mathematical tool for modeling physical properties of media in solid state physics. In most cases, they arise as constitutive tensors of pr…