Abstract
The mixed-mode crack growth coupling mechanical and thermal loads in wood material is investigated in this numerical work. The analytical formulation the crack driving force, namely the energy release rate, is introduced by T-integral that takes into account mixed mode fracture, thermal process in orthotropic material and pressure applied on the crack lips. This new formulation is based on Nother’s theorem and the definition of the strain energy density according to Lagrangian’s and Eulerian’s configurations. Moreover, this analytical formulation is implemented in finite element software Cast3m. First of all, several numerical examples, dealing with isotropic material, are provided to illustrate the accuracy of the FEM model. Then, the crack resistance of a timber CTS (Compact Tension Specimen) is investigated to show the efficiency of the proposed approach in the case of orthotropic material.
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References
Rice JR (1968) A path independent integral and the approximate analysis of strain concentrations by notches and cracks. J Appl Mech 35: 379–386
Noether E (1918) Invariant variations problem. Transport Theory Stat Phys 1:183–207
Chen FMK, Shield RT (1977) Conservation laws in elasticity of the J-Integral. J Appl Math Phys 28:1–22
Moutou Pitti R, Dubois F, Petit C (2010) Generalization of T and A integrals to time-dependent materials: analytical formulations. Int J Fract 161:187–198
Bui HD, Proix JM (1985) Découplage des modes mixtes de rupture en thermoélasticité linéaire par des intégrales indépendantes du contour. Acte du Troisième Colloque Tendances Actuelles en Calcul de Structure, Bastia. pp 631–643
Destuynder P, Djaoua M, Lescure S (1983) Some remarks on elastic fracture mechanics. J Méc Théor Appl 2:113–135
Charvet-Quemin F, Combescure A, Ebersol L, Charras Th, Millard A. Méthode de calcul du taux de restitution de l'énergie en élastique et en non linéaire matériau. Report DEMT; 1986. p. 86/438
Rooke DP, Cartwright DJ (1976) Compendium of stress intensity factors. HMSO, London
Wilson WK, Yu IW (1979) The use of the J integral in thermal stress crack problems. Int J Fract 15:377–387
Acknowledgments
The authors wish to strongly acknowledge the National Agency of Research (ANR) for its financial support of this work through the project CLIMBOIS N° ANR-13-JS09-0003-01 labeled by ViaMeca.
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Riahi, H., Moutou Pitti, R., Dubois, F., Fournely, E. (2015). On Numerical Evaluation of Mixed Mode Crack Propagation Coupling Mechanical and Thermal Loads in Wood Material. In: Carroll, J., Daly, S. (eds) Fracture, Fatigue, Failure, and Damage Evolution, Volume 5. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-06977-7_3
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DOI: https://doi.org/10.1007/978-3-319-06977-7_3
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