Past exam of the mathematics course of the University of Cambridge 2023 iii Paper 352 1 a Solution Created 2026-09-28 Updated 2026-10-03
A Bingham plastic is a yield-stress fluid, and hence a non-Newtonian fluid. It is also an instantaneous generalized-Newtonian model after yielding. It cannot describe memory-dependent viscoelasticity, including stress relaxation, elastic recoil, and time-dependent normal-stress effects.
For scalar shear stress and shear rate , its complete ideal constitutive law isEquivalently, in yielded material,