55 citations · 388 across the 19 of their papers we have counts for
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Discrete breathers assist energy transfer to ac driven nonlinear chains
Danial Saadatmand, Daxing Xiong, Vitaly A. Kuzkin +3
One-dimensional chain of pointwise particles harmonically coupled with nearest neighbors and placed in six-order polynomial on-site potentials is considered. Power of the energy so…
Temperature oscillations in harmonic triangular lattice with random initial velocities
V. A. Tsaplin, V. A. Kuzkin
Transition to thermal equilibrium in a uniformly heated two-dimensional harmonic triangular lattice with nearest neighbor interactions is investigated. Initial conditions, typical…
Discrete and Continuum Thermomechanics
Anton M. Krivtsov, Vitaly A. Kuzkin
In the present chapter, we discuss an approach for transition from discrete to continuum description of thermomechanical behavior of solids. The transition is carried out for sever…
An asymptotic formula for displacement field in triangular lattice with vacancy
V. A. Tsaplin, V. A. Kuzkin
A harmonic triangular lattice with a vacancy under imposed volumetric strain is considered. Simple asymptotic formula for the displacement field is derived. The formula has reasona…
Fast and slow thermal processes in harmonic scalar lattices
Vitaly A. Kuzkin, Anton M. Krivtsov
An approach for analytical description of thermal processes in harmonic lattices is presented. We cover longitudinal and transverse vibrations of chains and out-of-plane vibrations…