Abstract
With the environmental impacts coupled with mechanical loadings, the micro-cracks can propagate and drive the collapse of wood materials or timber-based structures. In this case, the rupture in mixed mode coupling mechanical hydric and thermal loads for orthotropic materials is studied. The analytical formulation of the energy release rate is introduced by the T and A integrals generalized to mixed mode crack growth. The time dependent effects are introduced according to the generalized Kelvin Voigt model. This new formulation is based on conservation laws and real and virtual mechanical and thermal fields based on the Arbitrary, Lagrangian and Eulerian configurations. The Mixed Mode Crack Growth specimen, providing the decrease of energy release rate during crack propagation, is considered in order to compute the various mixed mode ratios. The analytical formulation is implemented in finite element software Cast3m and the crack growth is obtained by testing the Griffith criterion rewritten in time domain under orthotropic configuration. The efficiency of the proposed model is justified by showing the evolution of energy release rate and the stress intensity factors versus crack length and hydric variations within time dependent material. Also the path independency is proven for each mixed mode configuration.
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