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6 - Viscoelastic Theory and Ice Behaviour

from Part II - Theory of Time-Dependent Deformation and Associated Mechanics

Published online by Cambridge University Press:  10 February 2023

Ian Jordaan
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Summary

Viscoelastic theory is introduced, using ice as the material under consideration. Linear theory is first introduced, based on elasticity of the springs and on linear viscosity of the dashpots. The nonlinearity of the dashpots in modelling ice deformation is then introduced. The “crushed layer” and analysis by Kheisin and co-workers is outlined, based on linearly viscous modelling. Kelvin and Burgers models are introduced. Microstructural change is modelled using damage mechanics and state variables for material points. Stress and strain re-distribution arises from this aspect, as well as from nonlinearity with stress. Schaperys modified superposition principle is introduced.

Keywords

Timeviscoelasticityretardationrelaxationhereditary integralsdamageredistributionmodified superposition principle
Type
Chapter
Information
Mechanics of Ice Failure
An Engineering Analysis
 , pp. 85 - 111
Publisher: Cambridge University Press
Print publication year: 2023

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