Stress Intensity Factors for Viscoelastic Axisymmetric Problems Applied to Wood
Many materials used in engineering applications obey to time-dependent behaviours and the mechanical fields are affected by the time effects. As a result, the evolution of the stresses and strains in these materials appear still very complex and difficult to study. Among such cases is the situation when the material has an axisymmetric shape and when it is submitted to a complex fracture loading. In this paper, the creep loading is applied on an axisymmetric viscoelastic orthotropic material and the stress intensity factors are computed in the opening mode, in the shear mode and in the mixed mode using to a finite element approach. The uncoupling method is based on M integral, combining the virtual and real mechanical fields. In the same time, the viscoelastic effects are introduced according to the generalized Kelvin-Voigt model composed by four branches. The numerical solution is obtained with an incremental viscoelastic formulation in the time domain. Using a Compact Tension Shear (CTS) specimen, the evolutions of stress intensity factor versus time are posted in each fracture mode configuration. The obtained results demonstrate the efficiency of the proposed model.
KeywordsStress intensity factors Axisymmetric problems Viscoelasticity Wood materials
The work at the Institut Pascal and IFMA is supported by Laboratoire d’excellence IMobS 3.
- 1.Moutou Pitti R, Alaa C, Chazal C (2011) Reliability analysis of mixed mode cracking with viscoelastic orthotropic behaviour. Mechanics of time-dependent materials and processes in conventional and multifunctional materials, vol 3. In: Conference proceedings of the society for experimental mechanics series, 2011, vol 99999, pp 249–256, doi: 10.1007/978-1-4614-0213-8_36
- 7.Thibauta B, Gril J, Fournier M (2001) Mechanics of wood and trees: some new highlights for an old story, Mécanique du bois et biomécanique des arbres: nouveaux regards sur une vieille question. CR Mecanique 329:701–716Google Scholar