40 citations · 143 across the 8 of their papers we have counts for
8 papers
Toward the mechanics of fractal materials: mechanics of continuum with fractal metric
Alexander S. Balankin
This paper is devoted to the mechanics of fractal materials. A continuum framework accounting for the topological and metric properties of fractal domains in heterogeneous media is…
Topological crossovers in the forced folding of self-avoiding matter
Alexander S. Balankin, Daniel Morales Matamoros, Ernesto Pineda Leon +3
We study the scaling properties of forced folding of thin materials of different geometry. The scaling relations implying the topological crossovers from the folding of threedimens…
Power law scaling of lateral deformations with universal Poissons index for randomly folded thin sheets
Alexander S. Balankin, Didier Samayoa Ochoa, Ernesto Pineda Leon +3
We study the lateral deformations of randomly folded elastoplastic and predominantly plastic thin sheets under the uniaxial and radial compressions. We found that the lateral defor…
Entropic rigidity of a crumpling network in a randomly folded thin sheet
Alexander S. Balankin, Orlando Susarrey Huerta
We have studied experimentally and theoretically the response of randomly folded hyperelastic and elastoplastic sheets on the uniaxial compression loading and the statistical prope…
Dynamic scaling approach to study time series fluctuations
Alexander S. Balankin
We propose a new approach for properly analyzing stochastic time series by mapping the dynamics of time series fluctuations onto a suitable nonequilibrium surface-growth problem. I…
The concept of multifractal elasticity
Alexander S. Balankin
A new type of elasticity of random (multifractal) structures is suggested. A closed system of constitutive equations is obtained on the basis of two proposed phenomenological laws…