Research Paper
Aliabadi, M.H. (2002) The Boundary Element Method, Volume 2: Applications in Solids and Structures, John Wiley & Sons, p.598.
Anderson, T.L. (2017) Fracture Mechanics : Fundamentals and Applications, CRC Press, p. 640.
10.1201/9781315370293Belytschko, T., Lu, Y.Y., Gu, L. (1994) Element‐free Galerkin Methods. Int. J. Numer. Methods Eng., 37(2), pp.229~256.
10.1002/nme.1620370205Bouchard, P.O., Bay, F., Chastel, Y., Tovena, I. (2000) Crack Propagation Modelling using an Advanced Remeshing Technique, Comput. Methods Appl. Mech. Eng., 189(3), pp.723~742.
10.1016/S0045-7825(99)00324-2Chen, J.-S., Wu, C.-T., Yoon, S., You, Y. (2001) A Stabilized Conforming Nodal Integration for Galerkin Mesh-Free Methods, Int. J. Numer. Methods Eng., 50(2), pp.435~466.
10.1002/1097-0207(20010120)50:2<435::AID-NME32>3.0.CO;2-AChoi, H., Cui, H., Park, K. (2022) Evaluation of Stress Intensity Factor for Arbitrary and Low-Quality Meshes using Virtual Grid-based Stress Recovery (VGSR), Eng. Fract. Mech., 263, 108172.
10.1016/j.engfracmech.2021.108172Daimon, R., Okada, H. (2014) Mixed-Mode Stress Intensity Factor Evaluation by Interaction Integral Method for Quadratic Tetrahedral Finite Element with Correction Terms, Eng. Fract. Mech., 115, pp.22~42.
10.1016/j.engfracmech.2013.11.009Deng, H., Yan, B., Zh,u Y. (2022) A New Path-Independent Interaction Integral for the SIFs of Interfacial Crack, Theor. & Appl. Fract. Mech., 120, 103389.
10.1016/j.tafmec.2022.103389Duarte, C.A., Hamzeh, O.N., Liszka, T.J., Tworzydlo, W.W. (2001) A Generalized Finite Element Method for the Simulation of Three-Dimensional Dynamic Crack Propagation, Comput. Methods Appl. Mech. Eng., 190(15~17), pp.2227~2262.
10.1016/S0045-7825(00)00233-4Gosz, M., Moran, B. (2002) An Interaction Energy Integral Method for Computation of Mixed-Mode Stress Intensity Factors Along Non-Planar Crack Fronts in Three Dimensions, Eng. Fract. Mech., 69(3), pp.299~319
10.1016/S0013-7944(01)00080-7Gupta, V., Duarte, C.A., Babuška, I., Banerjee, U. (2015) Stable GFEM (SGFEM): Improved Conditioning and Accuracy of GFEM/XFEM for Three-Dimensional Fracture Mechanics, Comput. Methods Appl. Mech. Eng., 289, pp.355~386.
10.1016/j.cma.2015.01.014Ingraffea, A.R., Manu, C. (1980) Stress-Intensity Factor Computation in Three Dimensions with Quarter-Point Elements, Int. J. Numer. Methods Eng., 15(10), pp.1427~1445.
10.1002/nme.1620151002Katragadda, P., Grosset, I.R. (1996) A Posteriori Error Estimation and Adaptive Mesh Refinement for Combined Thermal-Stress Finite Element Analysis, Comput. & Struct., 59(6), pp.1149~1163.
10.1016/0045-7949(95)00303-7Kim, J.-H., Ha, S.-H., Cho, S. (2014) Shape Design Optimization of Crack Propagation Problems using Meshfree Methods, J. Comput. Struct. Eng. Inst. Korea., 27(5), pp.337~343.
10.7734/COSEIK.2014.27.5.337Kim, J.-H., Paulino, G.H. (2003) The Interaction Integral for Fracture of Orthotropic Functionally Graded Materials: Evaluation of Stress Intensity Factors, Int. J. Solids Struct., 40(15), pp.3967~4001.
10.1016/S0020-7683(03)00176-8Kim, J.-H., Paulino, G.H. (2004) Simulation of Crack Propagation in Functionally Graded Materials under Mixed-Mode and Non-Proportional Loading, Int. J. Mech. & Mater. Des., 1(1), pp.63~94.
10.1023/B:MAMD.0000035457.78797.c5Krueger, R. (2004) Virtual Crack Closure Technique: History, Approach, and Applications. Appl. Mech. Rev., 57(2), pp.109~143.
10.1115/1.1595677Lee, G.B., Jang, Y.Y., Huh, N.S., Park, S.H., Park, N.H., Park, J., Park, K. (2022) Crack Growth Simulation using Iterative Crack-Tip Modeling Technique, Volume 4A: Materials and Fabrication, American Society of Mechanical Engineers.
10.1115/PVP2022-84684Marco, M., Infante-García, D., Belda, R., Giner, E. (2020) A Comparison between Some Fracture Modelling Approaches in 2D LEFM using Finite Elements, Int. J. Fract., 223(1~2), pp.151~171.
10.1007/s10704-020-00426-6Movahedi, N., Han, T., Park, K. (2026a) Virtual Grid Stress Recovery (VGSR): A Substitution Method for Singular Elements Method in Stress Intensity Factor Evaluation, Under Review.
Movahedi, N., Kim, J., Park, K. (2026b) Stress Intensity Factor Evaluation for Non-planar Cracks using Virtual Grid Stress Recovery (VGSR) and Interaction Integral Methods, Adv. Eng. Softw., 212, 104042.
10.1016/j.advengsoft.2025.104042Nagai, M., Ikeda, T., Miyazaki, N. (2013) Stress Intensity Factor Analyses of Three-Dimensional Interface Cracks using Tetrahedral Finite Elements, Comput. Mech., 51(5), pp.603~615.
10.1007/s00466-012-0740-8Paluszny, A., Zimmerman, R.W. (2011) Numerical Simulation of Multiple 3D Fracture Propagation using Arbitrary Meshes, Comput. Methods Appl. Mech. Eng., 200(9~12), pp.953~966.
10.1016/j.cma.2010.11.013Park, K., Paulino, G.H., Celes, W., Espinha, R. (2012) Adaptive Mesh Refinement and Coarsening for Cohesive Zone Modeling of Dynamic fracture, Int. J. Numer. Methods Eng., 92(1), pp.1~35.
10.1002/nme.3163Shih, C.F., Moran, B. (1986) Energy Release Rate Along a Three-Dimensional Crack Front in a Thermally Stressed Body, Int. J. Fract., 30, pp.79~102.
10.1007/BF00034019Tabaza, O., Okada, H., Yusa, Y. (2021) 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, 103065.
10.1016/j.tafmec.2021.103065- Publisher :Computational Structural Engineering Institute of Korea
- Publisher(Ko) :한국전산구조공학회
- Journal Title :Journal of the Computational Structural Engineering Institute of Korea
- Journal Title(Ko) :한국전산구조공학회 논문집
- Volume : 39
- No :3
- Pages :193-200
- Received Date : 2026-05-11
- Revised Date : 2026-05-22
- Accepted Date : 2026-05-26
- DOI :https://doi.org/10.7734/COSEIK.2026.39.3.193


Journal of the Computational Structural Engineering Institute of Korea








