Direct evaluation of stress intensity factors for curved cracks using Irwin's integral and XFEM with high‐order enrichment functions
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[1] D. M. Parks. A stiffness derivative finite element technique for determination of crack tip stress intensity factors , 1974 .
[2] Y. Chen. Singular integral equation method for the solution of multiple curved crack problems , 2004 .
[3] Glaucio H. Paulino,et al. Integration of singular enrichment functions in the generalized/extended finite element method for three‐dimensional problems , 2009 .
[4] M. Eslami,et al. Higher order tip enrichment of eXtended Finite Element Method in thermoelasticity , 2010 .
[5] J. Rice,et al. Slightly curved or kinked cracks , 1980 .
[6] V. F. González-Albuixech,et al. Convergence of domain integrals for stress intensity factor extraction in 2‐D curved cracks problems with the extended finite element method , 2013 .
[7] A. Needleman,et al. A COMPARISON OF METHODS FOR CALCULATING ENERGY RELEASE RATES , 1985 .
[8] T. Belytschko,et al. New crack‐tip elements for XFEM and applications to cohesive cracks , 2003 .
[9] N. Chevaugeon,et al. Improved crack tip enrichment functions and integration for crack modeling using the extended finite element method , 2013 .
[10] J. Rice. A path-independent integral and the approximate analysis of strain , 1968 .
[11] Brian Moran,et al. Crack tip and associated domain integrals from momentum and energy balance , 1987 .
[12] T. Fries. A corrected XFEM approximation without problems in blending elements , 2008 .
[13] R. Sevilla,et al. NURBS distance fields for extremely curved cracks , 2014 .
[14] Stéphane Bordas,et al. Stable 3D extended finite elements with higher order enrichment for accurate non planar fracture , 2016 .
[15] T. Belytschko,et al. The extended/generalized finite element method: An overview of the method and its applications , 2010 .
[16] Ted Belytschko,et al. Elastic crack growth in finite elements with minimal remeshing , 1999 .
[17] Ivo Babuška,et al. The post‐processing approach in the finite element method—Part 2: The calculation of stress intensity factors , 1984 .
[18] M. G. Duffy,et al. Quadrature Over a Pyramid or Cube of Integrands with a Singularity at a Vertex , 1982 .
[19] Michael P. Cleary,et al. Elastostatic interaction of multiple arbitrarily shaped cracks in plane inhomogeneous regions , 1984 .
[20] Bhushan Lal Karihaloo,et al. XFEM for direct evaluation of mixed mode SIFs in homogeneous and bi‐materials , 2004 .
[21] I. Babuska,et al. The partition of unity finite element method: Basic theory and applications , 1996 .
[22] Bhushan Lal Karihaloo,et al. Direct evaluation of accurate coefficients of the linear elastic crack tip asymptotic field , 2003 .
[23] Ted Belytschko,et al. Modelling crack growth by level sets in the extended finite element method , 2001 .
[24] Subrata Mukherjee,et al. A mapping method for numerical evaluation of two-dimensional integrals with 1/r singularity , 1993 .
[25] R. Gracie,et al. Cohesive and non‐cohesive fracture by higher‐order enrichment of XFEM , 2012 .
[26] Haim Waisman,et al. A High‐order extended finite element method for extraction of mixed‐mode strain energy release rates in arbitrary crack settings based on Irwin's integral , 2013 .
[27] R. D. Henshell,et al. CRACK TIP FINITE ELEMENTS ARE UNNECESSARY , 1975 .
[28] Ivo Babuška,et al. Generalized finite element methods for three-dimensional structural mechanics problems , 2000 .
[29] Ted Belytschko,et al. Fast integration and weight function blending in the extended finite element method , 2009 .
[30] Carlos Armando Duarte,et al. Improvements of explicit crack surface representation and update within the generalized finite element method with application to three‐dimensional crack coalescence , 2014 .
[31] Satya N. Atluri,et al. An assumed displacement hybrid finite element model for linear fracture mechanics , 1975 .
[32] M. Kanninen,et al. A finite element calculation of stress intensity factors by a modified crack closure integral , 1977 .
[33] Haim Waisman,et al. Progressive delamination analysis of composite materials using XFEM and a discrete damage zone model , 2015 .
[34] Ronald Krueger,et al. The Virtual Crack Closure Technique : History , Approach and Applications , 2002 .
[35] Nicolas Moës,et al. Extended finite element method in computational fracture mechanics: a retrospective examination , 2015, International Journal of Fracture.
[36] F. Erdogan,et al. On the Crack Extension in Plates Under Plane Loading and Transverse Shear , 1963 .
[37] Carlos Armando Duarte,et al. Extraction of stress intensity factors from generalized finite element solutions , 2005 .
[38] Adrian J. Lew,et al. Stability and convergence proofs for a discontinuous-Galerkin-based extended finite element method for fracture mechanics , 2010 .
[39] T. Belytschko,et al. Extended finite element method for three-dimensional crack modelling , 2000 .
[40] Haim Waisman,et al. A spline‐based enrichment function for arbitrary inclusions in extended finite element method with applications to finite deformations , 2013 .
[41] Haim Waisman,et al. From diffuse damage to sharp cohesive cracks: A coupled XFEM framework for failure analysis of quasi-brittle materials , 2016 .
[42] I. Harari,et al. A direct analytical method to extract mixed‐mode components of strain energy release rates from Irwin's integral using extended finite element method , 2013 .
[43] R. Barsoum. On the use of isoparametric finite elements in linear fracture mechanics , 1976 .
[44] Haim Waisman,et al. Extraction of stress intensity factors from Irwin's integral using high‐order XFEM on triangular meshes , 2015 .
[45] B. Moran,et al. An interaction energy integral method for computation of mixed-mode stress intensity factors along non-planar crack fronts in three dimensions , 2002 .
[46] T. Belytschko,et al. Extended finite element method for cohesive crack growth , 2002 .
[47] S. Chan,et al. On the Finite Element Method in Linear Fracture Mechanics , 1970 .
[48] Ted Belytschko,et al. A finite element method for crack growth without remeshing , 1999 .
[49] Paul A. Wawrzynek,et al. Universal crack closure integral for SIF estimation , 1998 .
[50] N. Moës,et al. Improved implementation and robustness study of the X‐FEM for stress analysis around cracks , 2005 .
[51] W. S. Hall,et al. Analytical removal of singularities and one-dimensional integration of three-dimensional boundary element method kernels , 1987 .
[52] J. Sethian,et al. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations , 1988 .
[53] Haim Waisman,et al. An analytical stiffness derivative extended finite element technique for extraction of crack tip Strain Energy Release Rates , 2010 .
[54] Adrian J. Lew,et al. Computing stress intensity factors for curvilinear cracks , 2015, 1501.03710.
[55] Shuodao Wang,et al. A Mixed-Mode Crack Analysis of Isotropic Solids Using Conservation Laws of Elasticity , 1980 .
[56] T. K. Hellen. On the method of virtual crack extensions , 1975 .
[57] T. Strouboulis,et al. The generalized finite element method: an example of its implementation and illustration of its performance , 2000 .
[58] Thomas-Peter Fries,et al. Higher‐order XFEM for curved strong and weak discontinuities , 2009 .
[59] I. Raju. Calculation of strain-energy release rates with higher order and singular finite elements , 1987 .
[60] T. Belytschko,et al. Strong and weak arbitrary discontinuities in spectral finite elements , 2005 .
[61] Ted Belytschko,et al. An extended finite element method with higher-order elements for curved cracks , 2003 .
[62] Ted Belytschko,et al. An extended finite element method for modeling crack growth with frictional contact , 2001 .
[63] Hong Zheng,et al. New strategies for some issues of numerical manifold method in simulation of crack propagation , 2014 .
[64] B. Moran,et al. A general treatment of crack tip contour integrals , 1987 .
[65] Michel Salaün,et al. High‐order extended finite element method for cracked domains , 2005 .
[66] D. A. Dunavant. High degree efficient symmetrical Gaussian quadrature rules for the triangle , 1985 .
[67] Dan Givoli,et al. An adaptive finite element framework for fatigue crack propagation , 2002 .
[68] Eugenio Giner,et al. Domain integral formulation for 3-D curved and non-planar cracks with the extended finite element method , 2013 .
[69] Adrian J. Lew,et al. An optimally convergent discontinuous Galerkin‐based extended finite element method for fracture mechanics , 2010 .
[70] N. Sukumar,et al. Generalized Gaussian Quadrature Rules for Discontinuities and Crack Singularities in the Extended Finite Element Method , 2010 .