Mixed mode fracture separation in viscoelastic orthotropic media: numerical and analytical approach by the Mθv -integral

Abstract

International audienc

Characterization of a cracked specimen with full-field measurements: direct determination of the crack tip and energy release rate calculation

“…Moutou Pitti et al (2007), have shown that the Mθ integral is equal to the energy release rate by substituting the virtual and real fields. Thus:…”

Reliability Analysis of Mixed Mode Cracking with Viscoelastic Orthotropic Behaviour

“…This rheological model is well adapted for time dependent representation because it allows uncoupling elastic properties (which induce free energy) and viscous properties (which induce energy dissipation). In this case, the expression (5) can be generalized for each elastic spring [2]:…”

“…According to the equation (7), the partition of viscoelastic energy release rate in each elastic spring of Kelvin Voigt chain becomes (9) In order to resolve the equation (7), the linear viscoelastic equations are computed according to finite difference process using the incremental constitutive equations given by [2] ) ( ) ( ) ( …”

“…In viscoelastic approach, path independent integrals have been used in order to study the impact of the mixed mode ratio in crack initiation [2] and crack growth process in wooden material [3]. In the literature, several authors have applied the reliability theory to fracture mechanics problems [4].…”

“…In the second part, the conservative laws [7], combining the real and virtual mechanical fields [8] and the non-dependant integral parameter  M in crack initiation process, is recalled. The time dependent effects are introduced by the generalized Kelvin Voigt model resolving by an incremental viscoelastic formulation [2]. After, the CTS (Compact Tension Shear) specimen [9,10] allows the mixed mode configuration is described.…”