Publication

A model for the consolidation of hybrid textiles considering air entrapment, dissolution and diffusion

Véronique Michaud, Vincent Werlen, Christian Rytka
2023
Journal Articles

Abstract

A new model is proposed for the consolidation of hybrid textiles, in which air entrapment and dissolution are considered. One of the key parameters is tow permeability, which is described by the analytical model of Gebart and validated at very high fibre volume fractions by direct tow permeability measurement. The model also takes into account the presence of fibres limiting gas diffusion in the molten polymer. Experimental validation of the proposed model is then conducted with quasi-unidirectional glass textile and either polypropylene or polyethylene by measuring the impregnation degree as a function of the consolidation time. Good agreement is found between predictions and measurements for the two matrix systems at different pressures. It is shown that entrapped air significantly influences impregnation. The model offers new and comprehensive insights about the phenomena taking place during consolidation and enables future process optimization.

Official source

https://infoscience.epfl.ch/entities/publication/b7ffe08f-7797-48c9-b509-dc30160113de

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Véronique Michaud, Vincent Werlen, Christian Rytka
2023
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/b7ffe08f-7797-48c9-b509-dc30160113de

About this result

Related concepts (29)

Matrix (mathematics)

In mathematics, a matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object. For example, is a matrix with two rows and three columns. This is often referred to as a "two by three matrix", a " matrix", or a matrix of dimension . Without further specifications, matrices represent linear maps, and allow explicit computations in linear algebra.

Matrix decomposition

In the mathematical discipline of linear algebra, a matrix decomposition or matrix factorization is a factorization of a matrix into a product of matrices. There are many different matrix decompositions; each finds use among a particular class of problems. In numerical analysis, different decompositions are used to implement efficient matrix algorithms. For instance, when solving a system of linear equations , the matrix A can be decomposed via the LU decomposition.

Invertible matrix

In linear algebra, an n-by-n square matrix A is called invertible (also nonsingular, nondegenerate or (rarely used) regular), if there exists an n-by-n square matrix B such that where In denotes the n-by-n identity matrix and the multiplication used is ordinary matrix multiplication. If this is the case, then the matrix B is uniquely determined by A, and is called the (multiplicative) inverse of A, denoted by A−1. Matrix inversion is the process of finding the matrix B that satisfies the prior equation for a given invertible matrix A.

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