A novel methodology for the rapid identification of the water diffusion coefficients of composite materials

Béringhier, Marianne; Gigliotti, Marco

doi:10.1016/j.compositesa.2014.09.026

Cited by 14 publications

(2 citation statements)

References 22 publications

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“…In order to overcome these issues, some authors have proposed measuring diffusivity of composites without coating the samples edges but taking into account the 3-dimensional fluid diffusion equations [6,8,[11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Orthotropic fluid diffusion in composite marine structures. Experimental procedure, analytical and numerical modelling of plates, rods and pipes

Gagani

Krauklis

Echtermeyer

2018

Composites Part A: Applied Science and Manufacturing

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Finite elements simulations of fluid diffusion for composite structures are becoming more common in marine and offshore applications. Input parameters for such simulations are the orthotropic diffusion constants for the materials. Diffusivity in fiber direction is faster than diffusivity in transverse direction; it is therefore important to determine all these constants to predict long-term fluid diffusion in composite structures. Current standards for the determination of the diffusion constants prescribe a sample geometry that enforces 1-D diffusion, but thin samples are not easy to fabricate, especially from thick laminates. Edges with metallic coatings are also prescribed, which can influence the calculation of the moisture saturation content and may detach during the experiments. Furthermore, axial symmetrical structures are often used offshore, requiring 3-D diffusion analysis in cylindrical coordinates. The aim of this paper is to provide a 3-D theory and methods for obtaining diffusion constants for plates, rods and pipes.

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Section: Introductionmentioning

confidence: 99%

Orthotropic fluid diffusion in composite marine structures. Experimental procedure, analytical and numerical modelling of plates, rods and pipes

Gagani

Krauklis

Echtermeyer

2018

Composites Part A: Applied Science and Manufacturing

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“…In this way, this article explores a new approach based on the PGD model reduction technique as an identification method. The PGD was already to solve estimation of the linear diffusion coefficient of Fick’s problem in Beringhier and Gigliotti (2015). As a step forward, to appreciate its performance and limits, it will be compared to two other iterative techniques: the local sensitivity deterministic method based on Ozisik and Orlande (2000) and Yang (1999) and the non-deterministic method using genetic algorithms (Czel and Grof, 2012).…”

Section: Introductionmentioning

confidence: 99%

Estimation of temperature-dependent thermal conductivity using proper generalised decomposition for building energy management

Berger

Gasparin

Chhay

et al. 2016

Journal of Building Physics

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A proper generalised decomposition for solving inverse heat conduction problems is proposed in this article as an innovative method offering important numerical savings. It is based on the solution of a parametric problem, considering the unknown parameter as a coordinate of the problem. Then, considering this solution, all sets of cost function can be computed as a function of the unknown parameter of the defined domain, identifying the argument that minimises the cost function. In order to illustrate the applicability, the method is used to solve a non-linear inverse heat conduction problem to determine a temperature-dependent thermal conductivity. Then, a comparison is carried out with the local sensitivity and the genetic algorithm methods. It is shown that the proper generalised decomposition method estimates the unknown parameter with the same accuracy as the other two methods. Due to its advantage in terms of reducing the complexity, the method was then used to solve a transient three-dimensional nonlinear heat transfer inverse problem. The results have shown that the method is appropriate to determine the unknown parameter with a low computational cost. Downloaded from Furthermore, the main advantage of the technique is its low capacity for storage, which can be used, as an inverse method, for building energy management and extended to evaluate thermal bridges from on-site measurements.

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Model Reduction Methods

Chinesta

Huerta

Rozza

et al. 2017

Encyclopedia of Computational Mechanics Second Edition

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This chapter presents an overview of model order reduction – a new paradigm in the field of simulation‐based engineering sciences, and one that can tackle the challenges and leverage the opportunities of modern ICT technologies. Despite the impressive progress attained by simulation capabilities and techniques, a number of challenging problems remain intractable. These problems are of different nature, but are common to many branches of science and engineering. Among them are those related to high‐dimensional problems, problems involving very different time scales, models defined in degenerate domains with at least one of the characteristic dimensions much smaller than the others, model requiring real‐time simulation, and parametric models. All these problems represent a challenge for standard mesh‐based discretization techniques; yet the ability to solve these problems efficiently would open unexplored routes for real‐time simulation, inverse analysis, uncertainty quantification and propagation, real‐time optimization, and simulation‐based control – critical needs in many branches of science and engineering. Model order reduction offers new simulation alternatives by circumventing, or at least alleviating, otherwise intractable computational challenges. In the present chapter, we revisit three of these model reduction techniques: proper orthogonal decomposition, proper generalized decomposition, and reduced basis methodologies.

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A novel methodology for the rapid identification of the water diffusion coefficients of composite materials

Cited by 14 publications

References 22 publications

Orthotropic fluid diffusion in composite marine structures. Experimental procedure, analytical and numerical modelling of plates, rods and pipes

Orthotropic fluid diffusion in composite marine structures. Experimental procedure, analytical and numerical modelling of plates, rods and pipes

Estimation of temperature-dependent thermal conductivity using proper generalised decomposition for building energy management

Model Reduction Methods

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