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A multiplicative finite strain finite element framework for the modelling of semicrystalline polymers and polycarbonates

✍ Scribed by Arif Masud

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
764 KB
Volume
47
Category
Article
ISSN
0029-5981

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✦ Synopsis

This paper presents a phenomenological model for the simulation and analysis of stress-induced orientational hardening in semicrystalline polymers and polycarbonates at ÿnite strains. The notion of intermediate (local) stress-free conÿguration is used to develop a set of constitutive equations, and its relation to the multiple natural (stress-free) conÿgurations in the class of materials being considered here is discussed. A hyperelastic stored energy function, written with respect to the intermediate stress-free conÿguration is presented to model the ÿnite elastic response. It is then combined with the J 2-ow theory to model the ÿnite inelastic response. The isochoric constraint during inelastic deformation is treated via an exact multiplicative decomposition of the deformation gradient into volume-preserving and spherical parts. The numerical solution algorithm is based on the use of operator splitting technique that results in a product formula algorithm with elastic-predictor=inelastic-corrector components. Numerical results are presented to show the behaviour of the model.

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