!Sociedad Chilena deMecnica Computacional
Jornadas de Mecnica Computacional8-9 de octubre de 2015
Concepcin - Chile
AN INVESTIGATION ON THEWOOD CELL-WALL BY A
TWO-SCALEFULLY-COUPLED COMPUTATIONAL HOMOGENISATION SCHEME
A.S. Bezmalinovic y E.I. Saavedra Flores Departamento de
Ingeniera en Obras Civiles, Universidad de Santiago de Chile.
Av. Ecuador 3659 - Santiago - CHILEe-mail :
[email protected], [email protected]
RESUMEN
This paper is concerned to investigate the mechanical behavior
of the wood cell-wall using aFinite Element-based fully-coupled
Multi-scale Computational Homogenisation scheme [1].The approach to
improve the understanding of the mechanical and physical properties
of woodis through its hierarchical nature, distributed across
multiple spatial scales. A RepresentativeVolume Element (RVE) of
timbers nanostructural differentiation unit (the Microfibril) is
esta-blished through the Elasto-Plastic characterization of its
main constituents Cellulose (and itscrystalline and amorphous
periodic phases), Hemicellulose and Lignin [2].The microscopic
equilibrium problem of the previous RVE is solved at each Gauss
point ofthe Finite Element mesh of a new RVE, corresponding to a
hexahedral portion of the S2 woodcell-wall. Such fully-coupled
numerical approach has usually been called FEA2 [3].An evaluation
of the homogenised material response is performed based on the
MicrofibrilAngle (MFA) within a range of 0 to 40.In summary, a
time-discrete non-linear material law for the wood cell-wall is
presented, whichand can be directly incorporated into a new
Homogenisation-based Multi-scale analysis as thematerial law for a
honeycomb-type Finite Element model of the wood cell-wall,
representingthe microscopic scale.
AgradecimientosA.S. Bezmalinovic and E.I. Saavedra Flores
acknowledge the support from the Department ofCivil Engineering,
University of Santiago, Chile, and from the Chilean National
Commissionfor Scientific and Technological Research (CONICYT),
through Grant FONDECYTNo.1140245.
REFERENCIAS
[1] Saavedra Flores E. I. and De Souza Neto E. A. Remarks on
symmetry conditions incomputational homogenisation problems.
Engineering Computations, 27(4), pp. 551575 (2010).
[2] Salmn L. Micromechanical understanding of cell-wall
structure. Comptes Rendus Bio-logies, 327(9-10), pp. 873880
(2004).
[3] Feyel F. Multiscale FEA2 elastoviscoplastic analysis of
composite structures, Compu-tational Materials Science, 16(1-4),
pp. 344354 (1999).
