A new class of polymers characterized by dynamic cross-links is analyzed from a mechanical point of view. A thermodynamically consistent model is developed within the Lagrangian framework for polymers that can rearrange their internal cross-links. Such a class of polymers has the capability to reset their internal microstructure and the microscopic remodeling mechanism leads to a behavior similar to that of an elastic fluid. These materials can potentially be used in several fields, such as in biomechanics, smart materials, morphing materials to cite e few. However, a comprehensive understanding is necessary before we can predict their behavior and perform material design for advanced technologies. The proposed formulation efollowing a statistical approach adapted from classical rubber elasticitye is based on the evolution of the molecular chains' end-to-end distance distribution function. This distribution is allowed here to evolve with time, starting from an initial stress-free state and depending on the deformation history and the cross-link attachment/detachment kinetics. Some simple examples are finally presented and discussed to illustrate the capability and generality of the developed approach

A SIMPLE STATISTICAL APPROACH TO MODEL THE TIME-DEPENDENT RESPONSE OF POLYMERS WITH REVERSIBLE CROSS-LINKS / Roberto, Brighenti; Franck, Vernerey. - In: COMPOSITES. PART B, ENGINEERING. - ISSN 1359-8368. - 115:(2017), pp. 257-265. [10.1016/j.compositesb.2016.09.090]

A SIMPLE STATISTICAL APPROACH TO MODEL THE TIME-DEPENDENT RESPONSE OF POLYMERS WITH REVERSIBLE CROSS-LINKS

BRIGHENTI, Roberto;VERNEREY, FRANCK
2017

Abstract

A new class of polymers characterized by dynamic cross-links is analyzed from a mechanical point of view. A thermodynamically consistent model is developed within the Lagrangian framework for polymers that can rearrange their internal cross-links. Such a class of polymers has the capability to reset their internal microstructure and the microscopic remodeling mechanism leads to a behavior similar to that of an elastic fluid. These materials can potentially be used in several fields, such as in biomechanics, smart materials, morphing materials to cite e few. However, a comprehensive understanding is necessary before we can predict their behavior and perform material design for advanced technologies. The proposed formulation efollowing a statistical approach adapted from classical rubber elasticitye is based on the evolution of the molecular chains' end-to-end distance distribution function. This distribution is allowed here to evolve with time, starting from an initial stress-free state and depending on the deformation history and the cross-link attachment/detachment kinetics. Some simple examples are finally presented and discussed to illustrate the capability and generality of the developed approach
A SIMPLE STATISTICAL APPROACH TO MODEL THE TIME-DEPENDENT RESPONSE OF POLYMERS WITH REVERSIBLE CROSS-LINKS / Roberto, Brighenti; Franck, Vernerey. - In: COMPOSITES. PART B, ENGINEERING. - ISSN 1359-8368. - 115:(2017), pp. 257-265. [10.1016/j.compositesb.2016.09.090]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11381/2814495
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