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Yielding, anisotropy, and deformation processing of polymers
Author(s) -
Batterman S. D.,
Bassani J. L.
Publication year - 1990
Publication title -
polymer engineering and science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.503
H-Index - 111
eISSN - 1548-2634
pISSN - 0032-3888
DOI - 10.1002/pen.760302004
Subject(s) - materials science , anisotropy , isotropy , deformation (meteorology) , constitutive equation , extrusion , plasticity , plane stress , finite element method , flow (mathematics) , stress (linguistics) , nonlinear system , mechanics , composite material , optics , physics , thermodynamics , linguistics , philosophy , quantum mechanics
Constitutive equations that characterize the deformation induced anisotropy in polymers at large strains are developed for both flow and deformation (nonlinear elastic) theories of plasticity. These equations are used first to predict the evolution of yield surfaces for anisotropies that develop under simple plane strain deformations. Then, non‐uniform deformations are considered including neck propagation and extrusion. Finite element solutions are based on the flow theory version of the constitutive models. Neck propagation loads and draw ratios are found to be sensitive to the degree of anisotropy and pressure sensitivity, while extrusion forces are less so. The results are compared to solutions for an isotropic material with the same effective stress‐strain behavior.