26 citations · 76 across the 5 of their papers we have counts for
10 papers
Structural discontinuity as generalized strain and Fourier transform for discrete-continuous systems
Leonid I. Slepyan
We consider a segmented structure, possibly connected with a continuous medium, as initially homogeneous, where discontinuities arise as localized strains induced by self-equilibra…
How a dissimilar-chain system is splitting. Quasi-static, subsonic and supersonic regimes
Igor E. Berinskii, Leonid I. Slepyan
We consider parallel splitting of a strip composed of two different chains. As a waveguide, the dissimilar-chain structure radically differs from the well-studied identical-chain s…
Mechanical wave momentum from the first principles
Leonid I. Slepyan
For steady-state and some other types of mechanical waves of an arbitrary form, intensity and nature, propagating in a free uniform waveguide, we present the following. Relations f…
On the energy partition in oscillations and waves
Leonid Slepyan
A class of generally nonlinear dynamical systems is considered, for which the Lagrangian is represented as a sum of homogeneous functions of the displacements and their derivatives…
Forerunning mode transition in a continuous waveguide
Leonid Slepyan, Mark Ayzenberg-Stepanenko, Gennady Mishuris
We have discovered a new, forerunning mode transition as the periodic transition wave propagating in a uniform continuous waveguide. The latter is represented by an elastic beam se…
Brittle fracture in a periodic structure with internal potential energy. Spontaneous crack propagation
Mark Ayzenberg-Stepanenko, Gennady Mishuris, Leonid Slepyan
Spontaneous brittle fracture is studied based on the recently introduced model (Mishuris and Slepyan, Brittle fracture in a periodic structure with internal potential energy. Proc.…