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Licensed Unlicensed Requires Authentication Published by De Gruyter April 6, 2013

Determination of cohesive laws in wood bonded joints under mode I loading using the DCB test

  • Filipe G.A. Silva , Jose Xavier EMAIL logo , Fábio A.M. Pereira , José J.L. Morais , Nuno Dourado and Marcelo F.S.F. Moura
From the journal Holzforschung


The cohesive laws (CLs) have been investigated by means of direct and inverse methods concerning wood bonded joints under pure mode I. The experimental results were obtained by tests with double cantilever beam. The direct method is based on the differentiation of the relation between strain energy release rate and crack opening displacement at the crack tip. An equivalent crack method was used to evaluate the strain energy release rate in the course of the test without monitoring the crack length, which is difficult to observe exactly. The crack opening displacement was determined by postprocessing local displacements measured by digital image correlation. The inverse method requires a previous assumption of the CL shape, and as such, a trilinear law with bilinear softening relationship was selected. The cohesive parameters were identified by an optimization procedure involving a developed genetic algorithm. The idea is to minimize an objective function that quantifies the difference between the experimental and the numerical load-displacement curves resulting from the application of a given law. A validation procedure was performed based on a numerical analysis with finite elements. Both methods in focus provided good agreement with the experimental data. It was observed that CLs adopted by the inverse method are consistent with the ones obtained with the direct method.

Corresponding author: Jose Xavier, CITAB/University of Trás-os-Montes and Alto Douro, Apartado 1013, 5001-801 Vila Real, Portugal, Phone: +351 259 350 356, Fax: +351 259 350 356, e-mail:

This work was supported by European Union Funds (FEDER/COMPETE – Operational Competitiveness Programme) and by national funds (FCT – Portuguese Foundation for Science and Technology) under the project FCOMP-01-0124-287 FEDER-022692. The authors thank FTC for supporting the work presented in this publication through the research project PTDC/EME/PME/114443/2009 and Ciência 2008 program.


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Received: 2013-1-15
Accepted: 2013-3-13
Published Online: 2013-04-06
Published in Print: 2013-12-01

©2013 by Walter de Gruyter Berlin Boston

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