Based on the wormlike chain model, a coarse-grained description of the nonlinear dynamics of a weakly bending semiflexible polymer is developed. By means of a multiple-scale perturbation analysis, a length-scale separation inherent to the weakly bending limit is exploited to reveal the deterministic nature of the spatio temporal relaxation of the backbone tension and to deduce the corresponding...

Several theories for weakly damped free-surface flows have been formulated. In this paper we use the linear approximation to the Navier-Stokes equations to derive a new set of equations for potential flow which include dissipation due to viscosity. A viscous correction is added not only to the irrotational pressure (Bernoulli’s equation), but also to the kinematic boundary condition. The nonlin...

A rectangular plate of dielectric elastomer exhibiting gradients material properties through its thickness will deform inhomogeneously when a potential difference is applied to compliant electrodes on major surfaces, because each plane parallel the surfaces expand or contract different extent. Here we study voltage-induced bending response functionally graded basis nonlinear theory electroelast...

This article considers the influence of incompressibility on compliance and stiffness constants that appear in weakly nonlinear theory elasticity. The formulation first constraint applied to compliances, which gives explicit finite limits for second-, third-, fourth-order constants. stiffness/compliance relationships each order are derived used determine incompressible behavior Unlike compressi...

Nonlinear axisymmetric shape oscillations of a Newtonian drop in vacuum are investigated theoretically, for fundamental interest and their relevance transport processes across the surface. The weakly nonlinear analysis is carried out for, but not limited to, modes initial deformation up to m = 4. Ohnesorge number covers range between 0.01 1. approach, which third order, accounts coupling differ...