Finite element modelling of wooden structures at large deformations and brittle failure prediction

This paper presents a constitutive wood model that accounts for both hardening associated with material densification at large compressive deformations and brittle failure modes. The model is adapted from previous work by the authors and has been modified to deal with wood behaviours. The main novelty of the model is the coupling between the anisotropic plasticity and the ductile densification. The model developed is successfully implemented in the commercial ABAQUS software. Validation was made for uniaxial compressive loadings and an application on a three-points bending test. The results obtained, for the uniaxial compressive loadings, demonstrate the capability of the model to simulate the wood behaviour at large compressive deformations and show clearly the effect of the densification on the plastic behaviour. The result obtained for the three-points bending test shows a good implementation of the brittle failure criterion and demonstrates the suitability of the developed model to analyse and design wooden structures.

[1]  Herbert A. Mang,et al.  Analysis of layered wooden shells using an orthotropic elasto-plastic model for multi-axial loading of clear spruce wood , 2005 .

[2]  Stefanie E. Stanzl-Tschegg,et al.  Compressive behaviour of softwood under uniaxial loading at different orientations to the grain , 2001 .

[3]  Georges Cailletaud,et al.  Integration methods for complex plastic constitutive equations , 1996 .

[4]  Michael F. Ashby,et al.  Deformation and energy absorption diagrams for cellular solids , 1984 .

[5]  Zhongwei Guan,et al.  FE modelling of OSB webbed timber I-beams with openings , 2002 .

[6]  J. Lemaître.  A CONTINUOUS DAMAGE MECHANICS MODEL FOR DUCTILE FRACTURE , 1985 .

[7]  C. Shih,et al.  Kink band initiation and band broadening in clear wood under compressive loading , 1997 .

[8]  G. Dhatt,et al.  Modélisation des structures par éléments finis , 1990 .

[9]  Laurent Daudeville,et al.  Fracture of multiply-bolted joints under lateral force perpendicular to wood grain , 2000, Journal of Wood Science.

[10]  Zhongwei Guan,et al.  Finite element modelling of anisotropic elasto-plastic timber composite beams with openings , 2009 .

[11]  H. A. Mang,et al.  A multi-surface plasticity model for clear wood and its application to the finite element analysis of structural details , 2003 .

[12]  K. Saanouni.  On the numerical prediction of the ductile fracture in metal forming , 2008 .

[13]  Ian Smith,et al.  Fracture behaviour of softwood , 2003 .

[14]  Amar Khennane,et al.  Fracture in sheet metal forming: Effect of ductile damage evolution , 2007 .

[15]  M. Khelifa,et al.  Numerical damage prediction in deep-drawing of sheet metals , 2008 .

[16]  J. Lemaitre,et al.  Mécanique des matériaux solides , 1996 .

[17]  Ghyslaine McClure,et al.  Elasto-plastic modeling of wood bolted connections , 2003 .

[18]  M. Bariska,et al.  On the fracture morphology in wood , 1985, Wood Science and Technology.

[19]  A. Bouchair,et al.  An application of the Tsaï criterion as a plastic flow law for timber bolted joint modelling , 1995, Wood Science and Technology.

[20]  Raju Sethuraman,et al.  A continuum damage mechanics model for ductile fracture , 2000 .

[21]  H. Cruz,et al.  A non-linear 3D FEM model to simulate timber-concrete joints , 2007, Adv. Eng. Softw..

[22]  L. Daudeville,et al.  Fracture in spruce: experiment and numerical analysis by linear and non linear fracture mechanics , 1999, Holz als Roh- und Werkstoff.

[23]  Akihisa Kitamori,et al.  Experimental study and finite element modelling of Japanese "Nuki" joints — Part two: Racking resistance subjected to different wedge configurations , 2008 .

[24]  D. M. Moses,et al.  Stress and failure analysis of wood composites: a new model , 2004 .

[25]  Stephen W. Tsai,et al.  A General Theory of Strength for Anisotropic Materials , 1971 .

[26]  Michael Kaliske,et al.  Models for numerical failure analysis of wooden structures , 2009 .

[27]  Jean Lemaitre,et al.  A Course on Damage Mechanics , 1992 .

[28]  M. Bariska,et al.  On the fracture morphology in wood , 1982, Wood Science and Technology.

[29]  T.A.C.M. van der Put,et al.  A new fracture mechanics theory for orthotropic materials like wood , 2007 .

[30]  J. Chaboche,et al.  Le Concept de Contrainte Effective Appliqué à l’Élasticité et à la Viscoplasticité en Présence d’un Endommagement Anisotrope , 1982 .

[31]  Pj Pellicane,et al.  Nonlinear material models for analysis of bolted wood connections , 1997 .

[32]  L. Daudeville,et al.  Prediction of the load carrying capacity of bolted timber joints , 1999, Wood Science and Technology.