14 citations · 34 across the 11 of their papers we have counts for
4 papers · 1 filter
Series solutions for clamped peridynamic beams using fourth-order eigenfunctions
Ziyu Wang, Ivan C. Christov
We propose an analytical approach to solving nonlocal generalizations of the Euler--Bernoulli beam. Specifically, we consider a version of the governing equation recently derived u…
Pressure drop reduction due to coupling between shear-thinning fluid flow and a weakly deformable channel wall: A reciprocal theorem approach
Shrihari D. Pande, Ivan C. Christov
We employ the Lorentz reciprocal theorem to derive a closed-form expression for the pressure drop reduction due to the coupling between shear-thinning fluid flow and a weakly defor…
Sixth-order parabolic equation on an interval: Eigenfunction expansion, Green's function, and intermediate asymptotics for a finite thin film with elastic resistance
Nectarios C. Papanicolaou, Ivan C. Christov
A linear sixth-order partial differential equation (PDE) of ``parabolic'' type describes the dynamics of thin liquid films beneath surfaces with elastic bending resistance when def…
Flow rate-pressure drop relations for shear-thinning fluids in deformable configurations: theory and experiments
SungGyu Chun, Evgeniy Boyko, Ivan C. Christov +1
We provide an experimental framework to measure the flow rate--pressure drop relation for Newtonian and shear-thinning fluids in two common deformable configurations: (\textit{i})…