An interaction energy integral method for computation of mixed-mode stress intensity factors along non-planar crack fronts in three dimensions

By M. Gosz, Brian Moran. 2002

229 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/cef48a57b4a19453ada230d4ccbb577266ef23a6

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In Mechanics of Materials

Citations in the corpus

Fracture modeling using meshless methods and level sets in 3D: Framework and modeling (2012, methodology): “For example, to determine the sign of KI, we firstly substitute the Kaux I D 1, Kaux II D 0, Kaux III D 0 into auxiliary fields (expressions can be found in [57, 59]) to obtain the auxiliary stress around a pure mode I crack.”
An interaction integral method for 3D curved cracks in nonhomogeneous materials with complex interfaces (2010, background): “where r is the gradient operator expressed by (Gosz and Moran, 2002)”
A meshless method with enriched weight functions for three‐dimensional crack propagation (2006, methodology): “Two ways to take them into account is the application of the theory of Reference [46] or the use of a virtual velocity extensition field q tangent to the crack faces instead of a scalar weight q in Equations (33) to (35) by the technique that was developped in the framework of the extended finite el”
Symmetric Galerkin boundary element computation of T-stress and stress intensity factors for mixed-mode cracks by the interaction integral method (2004, methodology): “[29] applied the method to anisotropic materials, and Gosz and Moran [30] investigated three-dimensional (3D) interface cracks.”
Investigation of mixed-mode stress intensity factors for nonhomogeneous materials using an interaction integral method (2009, methodology): “According to Gosz and Moran (2002), we have Icrackface ¼ Z Cþc þC c þCþAþC A rauxij uj;1 þ rijuauxj;1 rauxjk ejkd1i miqdA ð36Þ where CþA is a fictitious crack face tangent to the crack tip and C A is its opposite path.”
A simple and efficient XFEM approach for 3-D cracks simulations (2013, methodology): “After performing the convergence analysis, this problem is simulated by iterative, linear crack segment and curve crack segment approaches for a mesh size of 32 × 32 × 32, and the results are compared with available analytical solution (Gosz and Moran 2002).”
Three‐dimensional non‐planar crack growth by a coupled extended finite element and fast marching method (2008, unknown): “The computation of the SIFs along non-planar crack fronts in three dimensions is presented in Gosz and Moran [46].”
Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth (2017, methodology): “The other method known as the M integral (or interaction energy integral), was developed by introducing asymptotic fields as an auxiliary solution [108] has been extended in (X)FEM [118,31] and BEM [119].”
Enriched finite elements and level sets for damage tolerance assessment of complex structures (2006, background): “In the general, non-planar [10], three-dimensional case, the influence of the curvature of the crack front on the evaluation of the domain integrals should be noted [11].”
Coupling schemes for modeling hydraulic fracture propagation using the XFEM (2013, methodology): “In adapting the general form of the interaction integral [52] to a plane strain problem, we assume that the auxiliary solutions satisfy equilibrium and compatibility equations and that the tractions associated with these solutions along the fictitious crack C are zero.”
Improved implementation and robustness study of the X‐FEM for stress analysis around cracks (2005, background): “We introduce then another co-ordinate change t so that dt = (cos )−1 d as proposed in Reference [15].”
Domain integral formulation for 3-D curved and non-planar cracks with the extended finite element method (2013, unknown): “Gosz [10], achieves a relative minimum error of 0.”
A disk-shaped domain integral method for the computation of stress intensity factors using tetrahedral meshes (2015, background): “, 1998; Gosz and Moran, 2002). The main difficulty in calculating the interaction energy integral from the domain form in Eq. (13) lies in the evaluation of the gradients and higher order gradients of the auxiliary fields that appear in the second integrand in Eq. (13). Nahta and Moran (1993) and Go”