A unified model of necking and shear banding in amorphous and semicrystalline polymers
Coates, Philip D. Sweeney, John Caton-Rose, Philip D. Spares, Robert
Coates, Philip D.
Sweeney, John
Caton-Rose, Philip D.
Spares, Robert
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2007
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Abstract
In tensile stretching, many polymers undergo strain localization. The geometrical form of the localization can take the form of either a shear band or an approximately symmetric neck. We present a constitutive model of the early stages of deformation that predicts which form the localization will take. The model consists of an Eyring process acting with a Gaussian network that is implemented numerically. A Levy-Mises flow rule associated with the Eyring process has a tendency to produce shear bands. A relatively stiff Gaussian network is used in a model of polycarbonate that ensures that most of the strain is taken up by the Eyring process, resulting in shear banding. In contrast, a relatively soft Gaussian network is used in a model of polyethylene, which takes up the greater part of the strain, resulting in a neck. The predictions are compared with experiments. For polyethylene, a two-Eyring-process model is introduced for better accuracy.
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Sweeney J, Caton-Rose PD, Spares R and Coates PD (2007) A unified model of necking and shear banding in amorphous and semicrystalline polymers. Journal of Applied Polymer Science. 106(2): 1095-1105.
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