PROBABILISTIC ANALYSIS OF MIXED MODE CRACK GROWTH IN WOOD USING DIMENSION REDUCTION METHOD

Hassen Riahi (1) , Rostand Moutou Pitti (2)

1 LARIS - Laboratoire Angevin de Recherche en Ingénierie des Systèmes
2 IP - Institut Pascal

An efficient probabilistic approach is developed to assess the reliability of wood structures subjected to crack growth. The crack driving forces, such as the energy release rate and the stress intensity factors are computed through a new formulation of independent path integral , namely M-integral, which allows taking into account mechanical loads on the crack edges in mixed mode-mode ratio. The statistical moments of the crack driving forces are obtained by dimension reduction integration technique. In addition, the probability density function is constructed by performing Monte-Carlo simulations on a probabilistic surface responses obtained by projection on Lagrange polynomial basis. Numerical results show that the effect of uncertainty associated to the mechanical properties of wood on the variability of the fracture parameters is significant since the coefficient of variation exceeds 10%.

Domaines: Matériaux; Structures; Matériaux composites et construction; Construction durable

Hassen Riahi, Rostand Moutou Pitti. PROBABILISTIC ANALYSIS OF MIXED MODE CRACK GROWTH IN WOOD USING DIMENSION REDUCTION METHOD. 14th International Conference on Fracture (ICF 14), Jun 2017, Rhodes, Greece. ⟨hal-01616967⟩