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Direct Evaluation of Cohesive Law in Mode I of Pinus pinaster by Digital Image Correlation

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Abstract

The direct identification of the cohesive law in pure mode I of Pinus pinaster is addressed in this work. The approach couples the double cantilever beam (DCB) test with digital image correlation (DIC). Wooden beam specimens loaded in the radial-longitudinal (RL) fracture propagation system are used. The strain energy release rate in mode I (G I) is uniquely determined from the load–displacement curve by means of the compliance-based beam method (CBBM). This method relies on the concept of equivalent elastic crack length (a eq) and therefore does not require the monitoring of crack propagation during test. DIC measurements are processed with two different purposes. Firstly, the physical evidence of a eq is discussed with regard to actual estimation of the crack length based on post-processing full-field displacement measurements. Secondly, the crack tip opening displacement in mode I (w I) is determined from the displacements near the initial crack tip. The cohesive law in mode I (σ I − w I) is then identified by numerical differentiation of the G I − w I relationship. The methodology and accuracy on this reconstruction are addressed. Moreover, the proposed procedure is validated by finite element analyses including cohesive zone modelling. It is concluded that the proposed data reduction scheme is adequate for assessing the cohesive law in pure mode I of P. pinaster.

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Acknowledgments

This work is 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 would like to acknowledge the support of FCT under the project PTDC/EME-PME/114443/2009 and Ciência 2008 program.

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Authors and Affiliations

  1. CITAB, University of Trás-os-Montes e Alto Douro, Engenharias I, Quinta de Prados, 5001-801, Vila Real, Portugal

    J. Xavier, M. Oliveira, P. Monteiro & J. J. L. Morais

  2. DEMad, ESTG, Polytechnic Institute of Viseu, 3504-510, Viseu, Portugal

    M. Oliveira

  3. DEMec, FEUP, University of Porto, Rua Dr. Roberto Frias, 4200-465, Porto, Portugal

    M. F. S. F. de Moura

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  1. J. Xavier
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  2. M. Oliveira
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  3. P. Monteiro
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  4. J. J. L. Morais
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  5. M. F. S. F. de Moura
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Correspondence to J. Xavier.

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Xavier, J., Oliveira, M., Monteiro, P. et al. Direct Evaluation of Cohesive Law in Mode I of Pinus pinaster by Digital Image Correlation. Exp Mech 54, 829–840 (2014). https://doi.org/10.1007/s11340-013-9838-y

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  • DOI: https://doi.org/10.1007/s11340-013-9838-y

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