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Lecture

Implementation of Transport Equations in Composite Materials

In course

MSE-340: Polymer composites + Laboratory Work

Les propriétés mécaniques et physiques des composites anisotropes ainsi que leurs outils de calcul sont présentés. Les constituants, les mises en oeuvre et les relations microstructure-procédé-propriété sont décrits pour les composites polymères utilisés d ...

Description

This lecture covers the implementation of transport equations for mass, momentum, and energy in composite materials, along with constitutive laws for parameters like resin/fiber interaction and fiber bed behavior. It discusses boundary and initial conditions, resin properties, and the mechanics of continuous media. The lecture also includes topics such as experimental validation, infiltration modeling, and dynamics. Various concepts are explored, such as permeability, viscosity, solidification, and the mechanics of porous media. The prediction of saturated permeability, numerical methods, and fiber architecture are also addressed.

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Instructors (2)

Pierre-Etienne Bourban

Background 1990 Ingénieur en science des matériaux 1993 PhD in materials science Activities 1993-1994 Research at the Center for Composite Materials, University of Delaware, USA (ccm.udel.edu), SNSF grant Since 1994 Research and teaching at EPFL, Composites, (LTC, LPAC) 1995-1999 Coordination Swiss Priority Program on Materials research: 2.2: Composites Since 1998 Biocomposites 2004-2009 Direction of the EPFL Transdisciplinary programme in Sport and Rehabilitation 2005-2008 Member of the EPFL Vice-Presidency for Innovation and Valorisation and direction a.i.EPFL-LTC Since 2016 Direction Discovery Learning Labs Materials/Bioengineering and Engineering

Véronique Michaud

Background: 1994 Habilitation à diriger des recherches ( INPG, France) 1991 PhD in Materials Engineering ( MIT, USA) 1987 Ingénieur Civil des Mines ( Ecole des Mines de Paris, France) Activities: Since January 2018: Associate Dean of Engineering, in charge of Education June 2012-Dec.2017: Head of the Materials Science and Engineering Section Since April 2017: Associate Professor at EPFL 2009-2017 : Professeur Titulaire at EPFL 1997-2009: Researcher at EPFL 1994-1997 : Chef de Travaux au laboratoire MSS-MAT, Ecole Centrale Paris (France) 1991-1994 : Post-doctoral research associate, MIT (USA) Author of about 300 publications of which 140 in peer-reviewed journals

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Related concepts (32)

Permeability (Earth sciences)

Permeability in fluid mechanics and the Earth sciences (commonly symbolized as k) is a measure of the ability of a porous material (often, a rock or an unconsolidated material) to allow fluids to pass through it. Permeability is a property of porous materials that is an indication of the ability for fluids (gas or liquid) to flow through them. Fluids can more easily flow through a material with high permeability than one with low permeability.

Porous medium

In materials science, a porous medium or a porous material is a material containing pores (voids). The skeletal portion of the material is often called the "matrix" or "frame". The pores are typically filled with a fluid (liquid or gas). The skeletal material is usually a solid, but structures like foams are often also usefully analyzed using concept of porous media. A porous medium is most often characterised by its porosity. Other properties of the medium (e.g.

Hydraulic conductivity

In science and engineering, hydraulic conductivity (K, in SI units of meters per second), is a property of porous materials, soils and rocks, that describes the ease with which a fluid (usually water) can move through the pore space, or fractures network. It depends on the intrinsic permeability (k, unit: m^2) of the material, the degree of saturation, and on the density and viscosity of the fluid. Saturated hydraulic conductivity, Ksat, describes water movement through saturated media.

Dirichlet boundary condition

In the mathematical study of differential equations, the Dirichlet (or first-type) boundary condition is a type of boundary condition, named after Peter Gustav Lejeune Dirichlet (1805–1859). When imposed on an ordinary or a partial differential equation, it specifies the values that a solution needs to take along the boundary of the domain. In finite element method (FEM) analysis, essential or Dirichlet boundary condition is defined by weighted-integral form of a differential equation.

Robin boundary condition

In mathematics, the Robin boundary condition (ˈrɒbɪn; properly ʁɔbɛ̃), or third type boundary condition, is a type of boundary condition, named after Victor Gustave Robin (1855–1897). When imposed on an ordinary or a partial differential equation, it is a specification of a linear combination of the values of a function and the values of its derivative on the boundary of the domain. Other equivalent names in use are Fourier-type condition and radiation condition.

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