Three-dimensional weight function analyses and stress intensity factors for two unsymmetric surface cracks and surface-corner cracks at a circular hole

Swift, 1994, Damage tolerance capability, Int. J. Fatigue., 16, 75, 10.1016/0142-1123(94)90446-4 Schijve, 1992, Multiple-site-damage fatigue of riveted joints, Int. Workshop Struct. Integrity Aging Airplanes, 1 Boljanović, 2016, Fatigue strength assessment of initial semi-elliptical cracks located at a hole, Int. J. Fatigue., 92, 548, 10.1016/j.ijfatigue.2016.04.011 Ananthasayanam, 2017, An efficient framework for rapid life assessment in industrial applications: fatigue crack growth, Eng. Fract. Mech., 181, 7, 10.1016/j.engfracmech.2017.06.016 NASGRO. Fracture mechanics and fatigue crack growth analysis software, Version 7.0. NASA Johnson Space Center and Southwest Research Institute, 2012. J. Harter, AFGROW users guide and technical manual. AFRL-VA-WP-TR-2008-XXXX, Air Force Research Laboratory; July 2008. Nguyen, 2022, Fracture analysis of cracked magneto-electro-elastic functionally graded materials using scaled boundary finite element method, Theor. Appl. Fract. Mech., 118, 10.1016/j.tafmec.2021.103228 Yi, 2020, A new integral equation method for calculating interacting stress intensity factor of multiple crack-hole problem, Theor. Appl. Fract. Mech., 107, 10.1016/j.tafmec.2020.102535 Zhao, 2020, A modified three-dimensional virtual crack closure technique for calculating stress intensity factors with arbitrarily shaped finite element mesh arrangements across the crack front, Theor. Appl. Fract. Mech., 109, 10.1016/j.tafmec.2020.102695 Tabaza, 2021, Yusa, A new approach of the interaction integral method with correction terms for cracks in three-dimensional functionally graded materials using the tetrahedral finite element, Theor. Appl. Fract. Mech., 115, 10.1016/j.tafmec.2021.103065 Hu, 2020, A new crack-tip singular element for cracks in three-dimensional elastic bodies, Eng. Fract. Mech, 235, 10.1016/j.engfracmech.2020.107148 Verma, 2022, Extended finite element simulation on Tensile, fracture toughness and fatigue crack growth behavior of additively manufactured Ti6Al4V alloy, Theor. Appl. Fract. Mech., 117, 10.1016/j.tafmec.2021.103163 Shi, 2022, An XFEM-based numerical strategy to model three-dimensional fracture propagation regarding crack front segmentation, Theor Appl Fract Mech., 118, 10.1016/j.tafmec.2022.103250 Jr. J.C. Newman, I.S. Raju, Stress intensity factor equations for cracks in three dimensional finite bodies subjected to tension and bending loads. In: Computational Methods in the Mechanics of Fracture (Ed. S N Atluri), 1986, 312-334. Jr, 2018, Stress Intensity factor equations for very deep corner cracks at a circular hole in a plate, AIAA/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference Fawaz, 2004, Accurate stress intensity factor solutions for corner cracks at a hole, Eng. Fract. Mech., 71, 1235, 10.1016/S0013-7944(03)00207-8 Grandt, 1981, Crack face pressure loading of semi-elliptical cracks located along the bore of a hole, Eng. Fract. Mech., 14, 843, 10.1016/0013-7944(81)90096-5 Barsoum, 1976, On the use of isoparametric finite elements in linear fracture mechanics, Int. J. Numer. Methods. Eng., 10, 25, 10.1002/nme.1620100103 Franc3D Reference Manual, 8.0. New York: Fracture Analysis Consultants, Ins. 2021. (www.fracanalysis.com). R.C. McClung, Y.D. Lee, J.W. Cardinal, Y. Guo, The pursuit of K: Reflections on the current state-of-the-art in stress intensity factor solutions for practical aerospace applications. 27th ICAF 2013; 1-18. Bueckner, 1970, Novel principle for the computation of stress intensity factors, Z Angew. Math. Mech., 50, 529 Rice, 1972, Some remarks on elastic crack-tip stress fields, Int. J. Solids. Struct., 8, 751, 10.1016/0020-7683(72)90040-6 X.R. Wu, A.J. Carlsson, Weight Functions and Stress Intensity Factor Solutions. Pergamon Press, Oxford, UK. 1991. Wu, 2019, A review and verification of analytical weight function methods in fracture mechanics, Fatigue. Fract. Eng. Mater. Struct., 42, 2017, 10.1111/ffe.13073 Wu, 2022, Weight function methods in fracture mechanics: Theory and Applications, Springer & CAPM Wu, 2022, Weight function theory and applications for crack analysis: a review and outlook (in Chinese), Adv. Mecha. Aliabadi, 2003, Numerical and computational methods, Comprehens. Struct. Integr. Fett, 1992, Direct determination of weight functions from reference loading cases and geometrical conditions, Eng. Fract. Mech., 42, 435, 10.1016/0013-7944(92)90165-B Orynyak, 1994, Approximate construction of a weight function for quarter-elliptical, semi-elliptical and elliptical cracks subjected to normal stresses, Eng. Fract. Mech., 49, 143, 10.1016/0013-7944(94)90118-X X. Wang, G. Glinka, Determination of approximate point load weight functions for embedded elliptical cracks, Int. J. Fatigue. 31 (2009) 1816-1827. T. Fett, D. Munz, Stress intensity factors and weight functions. Computational Mechanics Publications, Southampton, UK, 1997. Jin, 2012, Point load weight functions for semi-elliptical cracks in finite thickness plate, J ASTM Int., 9, 10.1520/JAI103962 Ghajar, 2013, General point load weight function for semi-elliptical crack in finite thickness plates, Eng. Fract. Mech., 109, 33, 10.1016/j.engfracmech.2013.06.007 Guo, 2021, Two-dimensional weight function of stress intensity factors for corner cracks emanating from a circular hole, Eng. Fract. Mech., 252, 10.1016/j.engfracmech.2021.107821 Zhao, 1989, Weight function method for three dimensional crack problems—I. Basic formulation and application to an embedded elliptical crack in finite plates, Eng. Fract. Mech., 34, 593, 10.1016/0013-7944(89)90122-7 Zhao, 1989, Weight function method for three dimensional crack problems—II. Application to surface cracks at a hole in finite thickness plates under stress gradients, Eng. Fract. Mech., 34, 609, 10.1016/0013-7944(89)90123-9 Fujimoto, 1976, Determination of crack growth and fracture toughness parameters for surface flaws emanating from fastener holes. AIAA/ASME/SAE 17th Structures, Struct. Dyn. Mater. Conf. King of Prussia, PA, 522 W. Zhao, Jr. J.C. Newman, M.A. Sutton, X.R. Wu, K.N, Shivakumar. Stress intensity factors for corner cracks at a hole by a 3‐D weight function method with stresses from the finite element method, Fatigue. Fract. Eng. Mater. Struct. 20(9) (1997) 1255-1267. Zhao, 1998, Stress intensity factors for surface cracks at a hole by a three-dimensional weight function method with stresses from the finite element method, Fatigue Fract Eng Mater Struct., 21, 229, 10.1046/j.1460-2695.1998.00015.x Zhao, 1995, Analysis of corner cracks at hole by a 3-D weight function method with stresses from finite element method, NASA TM-110144 Zhao, 1995, Analysis of surface cracks at hole by 3-D weight function method with stresses from finite element method, NASA TM-110145 Wu, 1992, Analytical wide-range weight functions for various finite cracked bodies, Eng. Anal. Bound. Elem., 9, 307, 10.1016/0955-7997(92)90016-Z Zhao, 2015, Weight functions and stress intensity factors for pin-loaded single-edge notch bend specimen, Fatigue. Fract. Eng. Mater. Struct, 38, 1519, 10.1111/ffe.12343 Zhao, 2016, Stress intensity factors for surface cracks in single-edge notch bend specimen by a three-dimensional weight function method, Fatigue. Fract. Eng. Mater. Struct., 39, 1407, 10.1111/ffe.12458 Bakuckas, 2001, Comparison of boundary correction factor solutions for two symmetric cracks in a straight-shank hole, Eng. Fract. Mech, 68, 1095, 10.1016/S0013-7944(01)00013-3 Zhang, 2022, Weight function method and stress intensity factor for two unsymmetric through-thickness and quarter-elliptical corner cracks at circular hole, Eng. Fract. Mech., 264, 10.1016/j.engfracmech.2022.108361 Shivakumar, 1980, Green’s function for a crack emanating from a circular hole in an infinite sheet, Int. J. Fract., 16, 305, 10.1007/BF00018234 H. Tada, P.C. Paris, G.R. Irwin, The stress analysis of cracks handbook. 3rd ed. ASME Press, New York, 2000. Wu, 2018, Review and evaluation of weight functions and stress intensity factors for edge-cracked finite-width plate, Eng. Fract. Mech., 195, 200, 10.1016/j.engfracmech.2018.04.001 Abaqus 6.14 Documentation, Scripting Reference Guide, Version 6.14-2, Dassault Systèmes, Providence, RI, USA. 2014. Hou, 2022, The M-integral in fracture and damage mechanics: a review of developments and applications, Eng. Fract. Mech., 273, 10.1016/j.engfracmech.2022.108741 Warzynek, 2005, The M-integral for computing stress intensity factors in generally anisotropic materials, NASA/CR-2005-214006 Raju, 1988, Stress intensity factors for corner cracks in rectangular bars, In: Fracture Mechanics: Nineteenth Symposium (Edited by T.A Cruse), ASTM STP, 969, 43, 10.1520/STP33068S