Finite deformations of anisotropic polymers
A model for the thermomechanical behavior of anisotropic polymers under finite deformations below the glass-transition temperature is developed. The anisotropy is deformation-induced and the principal axes of the plastic stretch tensor are used to define the local axes of orthotropy at each material point of the deforming polymer. The formulation is based on a multiplicative decomposition of the deformation gradient tensor into elastic and plastic parts. An expression for the plastic spin, which is the average spin of the continuum as seen by an observer spinning with the axes of orthotropy, is derived. The numerical implementation of the model in a finite-element program is discussed and an algorithm for the numerical integration of the elastoplastic equations is developed. The problems of plane strain drawing and extrusion of polymeric sheets are solved using the finite-element method.
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