Microsphere modeling with full relaxation and internal evolutionary mechanisms

Abstract eng:
The popular microsphere model, used for creating fully three-dimensional constitutive equations from single polymer chain models, relies upon an energetic relaxation argument. This formulation presents an improvement to the earlier microplane model that is predicated upon an affine, Taylor-like, assumption. While the microsphere framework has been previously applied to a wide variety of phenomena, its application has always involved relaxation only as it relates to quasi-incompressible mechanical motions but affine with respect to all other phenomena. In this presentation, we show how to lift these restrictions, thereby permitting the development of fully relaxed constitutive equations based on well characterized one-dimensional micromechanical models even in the presence of other evolutionary microstructural phenomena – such as strain induced crystallization, viscous flow, and other active phenomena.

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