3 papers
math-ph2008
Still states of bistable lattices, compatibility, and phase transition
Andrej Cherkaev, Andrei Kouznetsov, Alexander Panchenko
A two-dimensional bistable lattice is a periodic triangular network of non-linear bi-stable rods. The energy of each rod is piecewise quadratic and has two minima. Consequently, a…
math.AP2007
G-convergence and homogenization of viscoelastic flows
Alexander Panchenko
The paper is devoted to homogenization of two-phase incompressible viscoelastic flows with disordered microstructure. We study two cases. In the first case, both phases are modeled…
physics.flu-dyn2004
Effective shear and extensional viscosities of cocentrated disordered suspensions of rigid particles
Leonid Berlyand, Alexander Panchenko
We study effective shear viscosity and effective extensional viscosity of concentrated non-colloidal suspensions of rigid spherical particles. The focus is on t…