Mathematical Modelling of the Stochastic Mechanical Properties of Wood and its Extensibility at Small Scales

EI Saavedra Flores (Universidad de Santiago de Chile, Chile), FA Diaz de la O, RM Ajaj, MI Friswell (Swansea University) & GF Fernando (University of Birmingham)

Applied Mathematical Modelling, Vol. 38, No. 15-16, 1 August 2014, pp. 3958-3967

Abstract

This paper investigates the relation between the uncertain mechanical properties of wood and its extensibility at the ultrastructural scale. A statistical approximation to the output of a multi-scale constitutive model is adopted to predict the extensibility of wood in the presence of parametric uncertainty. By means of this procedure, a very large number of computationally intensive fully-coupled multi-scale simulations are avoided. Following this approach, four different micromechanical parameters are chosen to assess their influence on the extensibility of the material under tensile loading conditions. These are the degree of cellulose crystallinity, the ultimate strain and Young's modulus of the hemicellulose-ligin matrix, and the thickness of the amorphous cellulose layer which covers the periodic crystalline portions of cellulose. We believe that a better understanding of the mechanisms of deformation and extensibility in wood and in natural materials can pave the way for the development of new strategies to design more advanced materials in engineering structures.

Paper Availability

This material has been published in the Applied Mathematical Modelling, Vol. 38, No. 15-16, 1 August 2014, pp. 3958-3967, the only definitive repository of the content that has been certified and accepted after peer review. Copyright and all rights therein are retained by Elsevier.


Link to paper using doi: 10.1016/j.apm.2014.01.002

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