27 citations · 51 across the 7 of their papers we have counts for
7 papers
Nonlinear dynamic elastic moduli from equilibrium stress fluctuations
F. E. Garbuzov, Y. M. Beltukov
Fluctuation formulas for elastic and viscoelastic moduli allow their computation from equilibrium molecular dynamics simulations, avoiding explicit nonequilibrium deformation proto…
Slowly decaying strain solitons in nonlinear viscoelastic waveguides
F. E. Garbuzov, Y. M. Beltukov
This paper is devoted to the modeling of longitudinal strain waves in a rod composed of a nonlinear viscoelastic material characterized by frequency-dependent second- and third-ord…
Generalization of nonlinear Murnaghan elastic model for viscoelastic materials
F. E. Garbuzov, Y. M. Beltukov
This paper presents a generalization of Murnaghan elastic material to viscoelastic behavior using the Green-Rivlin multiple-integral approach. In the linear limit, the model coinci…
Shock Wave Evolution into Strain Solitary Wave in Nonlinearly Elastic Solid Bar
F. E. Garbuzov, A. V. Belashov, A. A. Zhikhoreva +2
In this paper we present thorough experimental observation of the process of shock wave transformation into a bulk strain solitary wave in a nonlinearly elastic solid bar made of p…
Nonequilibrium model of short-range repression in gene transcription regulation
F. E. Garbuzov, V. V. Gursky
Transcription factors are proteins that regulate gene activity by activating or repressing gene transcription. A special class of transcriptional repressors operates via a short-ra…
Longitudinal bulk strain solitons in a hyperelastic rod with quadratic and cubic nonlinearities
F. E. Garbuzov, Y. M. Beltukov, K. R. Khusnutdinova
We study long nonlinear longitudinal bulk strain waves in a hyperelastic rod of circular cross section within the scope of the general weakly-nonlinear elasticity leading to a mode…
On Boussinesq-type models for long longitudinal waves in elastic rods
F. E. Garbuzov, K. R. Khusnutdinova, I. V. Semenova
In this paper we revisit the derivations of model equations describing long nonlinear longitudinal bulk strain waves in elastic rods within the scope of the Murnaghan model in orde…