25 citations · 86 across the 10 of their papers we have counts for
10 papers
An Asymmetric Spoof-Fluid-Spoof Acoustic Waveguide and its Application as a CO Sensor
Nathan Perchikov, Đorđe Vujić, Branimir Bajac +3
We study pressure acoustic propagation in asymmetric spoof-fluid-spoof acoustic waveguides and its potential application in acoustic gas sensors. First, a stable and efficient anal…
Micromechanical analysis of hyperelastic composites with localized damage using a new low-memory Broyden-step-based algorithm
Nathan Perchikov, Jacob Aboudi
A multiscale (micro-to-macro) analysis is proposed for the prediction of the finite strain behavior of composites with hyperelastic constituents and embedded localized damage. The…
Stability of compact breathers in translationally-invariant nonlinear chains with flat dispersion bands
Nathan Perchikov, O. V. Gendelman
The paper addresses compact oscillatory states (compact breathers) in translationally-invariant lattices with flat dispersion bands. The compact breathers appear in such systems ev…
Transient dynamics in strongly nonlinear systems: optimization of initial conditions on the resonant manifold
Nathan Perchikov, O. V. Gendelman
We consider a system of two linear and linearly coupled oscillators with ideal impact constraints. Primary resonant energy exchange is investigated by analysis of the slow-flow usi…
Flat bands and compactons in mechanical lattices
Nathan Perchikov, O. V. Gendelman
Local configurational symmetry in lattice structures may give rise to stationary, compact solutions, even in the absence of disorder and nonlinearity. These compact solutions are r…
The Response of Conductive-Fiber Reinforced Composites to Electric Field
Nathan Perchikov, Jacob Aboudi
An analytical procedure, which couples electric, magnetic, thermal and mechanical effects is presented for the prediction of the response of unidirectional fiber-reinforced composi…
Asymptotic bounds on the globally optimal positions of orthogonal stiffeners for rectangular plates in elastostatic bending
Nathan Perchikov
The present paper treats the problem of finding the asymptotic bounds for the globally optimal locations of orthogonal stiffeners minimizing the compliance of a rectangular plate i…
Nonlinear dynamics of hidden modes in a system with internal symmetry
Nathan Perchikov, O. V. Gendelman
We consider a discrete dynamical system with internal degrees of freedom (DOF). Due to the symmetry between the internal DOFs, certain internal modes cannot be excited by external…
Dynamics and stability of a discrete breather in a harmonically excited chain with vibro-impact on-site potential
Nathan Perchikov, O. V. Gendelman
We investigate the existence and stability of discrete breathers in a chain of masses connected by linear springs and subjected to vibro-impact on-site potentials. The latter are c…
Variable-amplitude oscillatory shear response of amorphous materials
Nathan Perchikov, Eran Bouchbinder
Variable-amplitude oscillatory shear tests are emerging as powerful tools to investigate and quantify the nonlinear rheology of amorphous solids, complex fluids and biological mate…