Phenomenological Theory of Non-Linear Viscoelasticity

A thermodynamic theory of solid viscoelasticity. Part I: Linear viscoelasticity

The present series of three consecutive papers develops a general theory for linear and fmite solid viscoelasticity. Because the most important object for nonlinear studies are rubber-like materials, the general approach is specified in a form convenient for solving problems important for many industries that involve rubber-like materials. General linear and nonlinear theories for non-isotherma...

Non-linear Viscoelasticity of Hagfish Slime

We report here the first experimental measurements of nonlinear rheological material properties of hagfish slime, a hydrated biopolymer/biofiber network, and develop a microstructural constitutive model to explain the observed nonlinear viscoelastic behavior. The linear elastic modulus of the network is observed to be G′ ≈ 0.02 Pa for timescales 0.1 s ≤ t ≤ 10 s, making it one of the softest el...

on the effect of linear & non-linear texts on students comprehension and recalling

چکیده ندارد.

Singular Perturbations in a Non-linear Viscoelasticity

A non-linear equation in viscoelasticity of the form ρuρtt(t, x) = φ(u ρ x(t, x))x + ∫ t −∞ F (t− s)φ(ux(s, x))xds+ ρg(t, x) + f(x), t ≥ 0, x ∈ [0, 1], (0.1) u(t, 0) = u(t, 1) = 0, t ≥ 0, (0.2) u(s, x) = v(s, x), s ≤ 0, x ∈ [0, 1], (0.3) (where φ is non-linear) is studied when the density ρ of the material goes to zero. It will be shown that when ρ ↓ 0, solutions u of the dynamical system (0.1)...

Variational Principles in the Linear Dynamic Theory of Viscoelasticity