A batch of borate-cross-linked silicone putty is modelled as a single Maxwell element…

PHYSICS · Multi-part · Fermi University Physics · Fluids & Continuum Physics · Condensed Matter, Materials & Soft Matter · Solid continuum mechanics and complex fluids

Soft Matter at the Thermal Scale, Ch Polymer dynamics and viscoelasticity

Problem

A batch of borate-cross-linked silicone putty is modelled as a single Maxwell element with instantaneous shear modulus G0=5.0×104 PaG_0 = 5.0\times10^4\,\mathrm{Pa} and relaxation time τ=2.0 s\tau = 2.0\,\mathrm{s}. ((a)) Find the zero-shear viscosity η0\eta_0 of the putty. ((b)) The putty is sheared steadily at a constant shear rate γ˙=2.0×10−3 s−1\dot\gamma = 2.0\times10^{-3}\,\mathrm{s^{-1}}. Find the steady-state shear stress.

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