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Investigation on the extensibility of the wood cell-wall composite by an approach based on homogenisation and uncertainty analysis

Investigation on the extensibility of the wood cell-wall composite by an approach based on homogenisation and uncertainty analysis
Investigation on the extensibility of the wood cell-wall composite by an approach based on homogenisation and uncertainty analysis
This paper investigates the extensibility of the wood cell-wall composite in the presence of parametric uncertainty by means of a multi-scale finite element approach. Normally, the three fundamental phases in wood, that is, cellulose, lignin and hemicellulose, present considerable scatter in their microstructure and mechanical properties. Nevertheless, by considering uncertainty in their properties, a significant computational cost is added to the solution of a large set of realisations represented by expensive fully-coupled multi-scale analyses. In order to tackle this high cost, we build a statistical approximation to the output of the computer model. Following this strategy, several micromechanical parameters are perturbed to study their influence on the extensibility of the material under tensile loading conditions. By reducing the cost of performing uncertainty analysis of the homogenised mechanical response, we are able to estimate the 5-th, 50-th, and 95-th percentile of the ultimate tensile strains of the material. We contrast our numerical predictions with experimental data, finding a good agreement for a wide range of initial microfibril angles.
multi-scale analysis, uncertainty analysis, ultrastructure, finite elements, gaussian process
0263-8223
212-222
Saavedra Flores, E.I.
51c7dfba-2289-4e4d-bfb8-17b10bb56458
Friswell, M.I.
e1f48951-f82e-4301-9a71-e32ce1188b00
DiazDelaO, F.A.
d13e9d1c-3842-4ab3-b13c-ec16261ae4bb
Ajaj, R.M.
ff8ce68d-2ba5-449e-83da-f2be54e6d409
Saavedra Flores, E.I.
51c7dfba-2289-4e4d-bfb8-17b10bb56458
Friswell, M.I.
e1f48951-f82e-4301-9a71-e32ce1188b00
DiazDelaO, F.A.
d13e9d1c-3842-4ab3-b13c-ec16261ae4bb
Ajaj, R.M.
ff8ce68d-2ba5-449e-83da-f2be54e6d409

Saavedra Flores, E.I., Friswell, M.I., DiazDelaO, F.A. and Ajaj, R.M. (2014) Investigation on the extensibility of the wood cell-wall composite by an approach based on homogenisation and uncertainty analysis. Composite Structures, 108, 212-222. (doi:10.1016/j.compstruct.2013.08.034).

Record type: Article

Abstract

This paper investigates the extensibility of the wood cell-wall composite in the presence of parametric uncertainty by means of a multi-scale finite element approach. Normally, the three fundamental phases in wood, that is, cellulose, lignin and hemicellulose, present considerable scatter in their microstructure and mechanical properties. Nevertheless, by considering uncertainty in their properties, a significant computational cost is added to the solution of a large set of realisations represented by expensive fully-coupled multi-scale analyses. In order to tackle this high cost, we build a statistical approximation to the output of the computer model. Following this strategy, several micromechanical parameters are perturbed to study their influence on the extensibility of the material under tensile loading conditions. By reducing the cost of performing uncertainty analysis of the homogenised mechanical response, we are able to estimate the 5-th, 50-th, and 95-th percentile of the ultimate tensile strains of the material. We contrast our numerical predictions with experimental data, finding a good agreement for a wide range of initial microfibril angles.

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e-pub ahead of print date: 7 September 2013
Published date: February 2014
Additional Information: Funded by European Commission - FP7: Optimisation of multiscale structures with applications to morphing aircraft (OMSAMA) (247045)
Keywords: multi-scale analysis, uncertainty analysis, ultrastructure, finite elements, gaussian process
Organisations: Aerodynamics & Flight Mechanics Group

Identifiers

Local EPrints ID: 358920
URI: http://eprints.soton.ac.uk/id/eprint/358920
ISSN: 0263-8223
PURE UUID: fcee619d-1f09-4967-bdbd-9902767848d8

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Date deposited: 15 Oct 2013 13:20
Last modified: 14 Mar 2024 15:11

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Contributors

Author: E.I. Saavedra Flores
Author: M.I. Friswell
Author: F.A. DiazDelaO
Author: R.M. Ajaj

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