Lecture

Rheology of Solids: Viscoelastic Models

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In course

MSE-206: Rheology and fluid mechanics

Ce cours est une introduction à la rhéologie des solides viscoélastiques linéaires, aux phénomènes d'écoulements des fluides, et aux méthodes utilisées en rhéologie. Les fluides Newtoniens ou non, la turbulence, les fluides réactifs et les suspensions sont ...

Description

This lecture covers the rheology of solids, focusing on viscoelastic models such as the Kelvin model, Maxwell model, and cross model. It also discusses the influence of temperature and pressure on non-Newtonian fluids, along with mechanical analogues and examples.

Instructor

Yves Leterrier

Yves Leterrier joined EPFL in 1993 and is a faculty member of the Materials Institute. He is a senior scientist and lecturer in the Laboratory for Processing of Advanced Composites (LPAC, previously Laboratory of Composite and Polymer Technology, LTC). Activities 2000-2005: Foundation and Chair of the Korea-Switzerland joint symposia on materials and micro-technologies2004-2008: Board member of FLEXIDIS (the European flexible display consortium) 2004-2009: Group leader on lightweight materials for Solar ImpulseSince 2008: Board member of the French Adhesion SocietySince 2000: President of the EPFL Materials Science Library commissionSince 2012: Editorial board member, Applied Surface ScienceSince 2014: Associate Editor, Frontiers in MaterialsSince 2021: Coordinator of the EPFL Minor on 'Engineering for Sustainability' Background 1987: MS in materials science and solid state physics (INPL, France) 1991: PhD in materials science (Ecole des Mines, INPL, France) 1992: Research Associate, National Institute of Standards and Technology (NIST, USA)

Official source

Ontological neighbourhood

Physics

Mechanics: Fluid mechanics

Related concepts (32)

Non-Newtonian fluid

A non-Newtonian fluid is a fluid that does not follow Newton's law of viscosity, that is, it has variable viscosity dependent on stress. In non-Newtonian fluids, viscosity can change when under force to either more liquid or more solid. Ketchup, for example, becomes runnier when shaken and is thus a non-Newtonian fluid. Many salt solutions and molten polymers are , as are many commonly found substances such as custard, toothpaste, starch suspensions, corn starch, paint, blood, melted butter, and shampoo.

Newtonian fluid

A Newtonian fluid is a fluid in which the viscous stresses arising from its flow are at every point linearly correlated to the local strain rate — the rate of change of its deformation over time. Stresses are proportional to the rate of change of the fluid's velocity vector. A fluid is Newtonian only if the tensors that describe the viscous stress and the strain rate are related by a constant viscosity tensor that does not depend on the stress state and velocity of the flow.

Power-law fluid

NOTOC In continuum mechanics, a power-law fluid, or the Ostwald–de Waele relationship, is a type of generalized Newtonian fluid (time-independent non-Newtonian fluid) for which the shear stress, τ, is given by where: K is the flow consistency index (SI units Pa sn), ∂u/∂y is the shear rate or the velocity gradient perpendicular to the plane of shear (SI unit s−1), and n is the flow behavior index (dimensionless). The quantity represents an apparent or effective viscosity as a function of the shear rate (SI unit Pa s).

Fluid

In physics, a fluid is a liquid, gas, or other material that continuously deforms (flows) under an applied shear stress, or external force. They have zero shear modulus, or, in simpler terms, are substances which cannot resist any shear force applied to them. Although the term fluid generally includes both the liquid and gas phases, its definition varies among branches of science. Definitions of solid vary as well, and depending on field, some substances can be both fluid and solid.

Fluid mechanics

Fluid mechanics is the branch of physics concerned with the mechanics of fluids (liquids, gases, and plasmas) and the forces on them. It has applications in a wide range of disciplines, including mechanical, aerospace, civil, chemical, and biomedical engineering, as well as geophysics, oceanography, meteorology, astrophysics, and biology. It can be divided into fluid statics, the study of fluids at rest; and fluid dynamics, the study of the effect of forces on fluid motion.

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