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Über dieses Buch

This book gives a detailed and practical introduction to complex flows of polymers and reinforced polymers as well as the flow of simple fluids in complex microstructures.

Over the last decades, an increasing number of functional and structural parts, made so far with metals, has been progressively reengineered by replacing metallic materials by polymers, reinforced polymers and composites. The motivation for this substitution may be the weight reduction, the simpler, cheaper or faster forming process, or the ability to exploit additional functionalities.

The present Brief surveys modern developments related to the multi-scale modeling and simulation of polymers, reinforced polymers, that involve a flowing microstructure and continuous fiber-reinforced composites, wherein the fluid flows inside a nearly stationary multi-scale microstructure. These developments concern both multi-scale modeling, defining bridges between the micro and macro scales - with special emphasis on the mesoscopic scale at which kinetic theory descriptions apply and advanced simulation techniques able to address efficiently the ever more complex and detailed models defined at different scales.

This book is addressed to students (Master and doctoral levels), researchers and professionals interested in computational rheology and material forming processes involving polymers, reinforced polymers and composites. It provides a unique coverage of the state of the art in these multi-disciplinary fields.



Chapter 1. Multi-scale Modeling and Simulation of Polymer Flow

The flow of polymeric fluids in complex geometries relevant to processing applications can be simulated numerically using a wide variety of theoretical models. Simple mathematical models have a purely macroscopic nature and focus only on the non-linear relationship between shear viscosity and shear rate. More advanced models address the viscoelastic character of polymeric fluids, either in a macroscopic or multi-scale framework. These advanced models and the related numerical approaches are the subject of this first chapter, wherein we build upon and update our previous reviews of the field [29, 31].
Christophe Binetruy, Francisco Chinesta, Roland Keunings

Chapter 2. Complex Flows of Micro/Nano Structured Fluids: Reinforced Polymer Composites

The motion of an ellipsoidal particle immersed in a Newtonian fluid was studied in the pioneering work of Jeffery in 1922. Suspensions of industrial interest usually involve particles with a variety of shapes. Moreover, suspensions composed of rods (a limit case of an ellipsoid) aggregate, leading to clusters with particular shapes that exhibit, when immersed in a flow, an almost rigid motion. In this chapter, we revisit the modeling and simulation of suspensions involving rods throughout the different scales of description (microscopic, mesoscopic and macroscopic) and the different concentration regimes (dilute, semi-dilute, semi-concentrated and concentrated), involving gradually richer physics.
Christophe Binetruy, Francisco Chinesta, Roland Keunings

Chapter 3. Flows of Simple Fluids in Complex Microstructures: Composite Processing of Structural Polymer Composites

Continuous fiber reinforced polymer (CFRP) always involves a fluid flow through the fibrous medium, whether to create a semi-product like a prepreg that will be further processed to make the final part or to directly manufacture a part from dry fiber reinforcement. This chapter discusses the physics and modeling of flow of simple fluids within complex microstructure. Microstructure refers here to features of internal structure of engineered fibrous materials used to reinforce polymer composites. As already mentioned earlier in this book, the flow is greatly influenced by the type of fibers being used and is viewed as key for ensuring successful fabrication. This chapter has a complementary focus as compared to Chap. 2. Here only media made of continuous fibers are considered. An important characteristic of continuous fibers is that they cannot flow with the polymer, even if the viscosity of the polymer is low. This chapter reviews the modeling of viscous resin into a porous network of stationary fibers, at a variety of length scales. As far engineered fibrous materials are concerned, the appropriate length scales are those that reveal the partition of the fibrous media into regions of nearly continuous phase such as continuous fibers and cluster of fibers called fiber bundles.
Christophe Binetruy, Francisco Chinesta, Roland Keunings
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