PSI - Issue 80
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D.C. Gonçalves et al. / Procedia Structural Integrity 80 (2026) 443–450 Author name / Structural Integrity Procedia 00 (2019) 000–000
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Braun, J., & Sambridge, M. (1995). A numerical method for solving partial differential equations on highly irregular evolving grids. In Nature (Vol. 376, pp. 655–660). https://doi.org/10.1038/376655a0 Delauney, B. (1934). SUR LA SPHÈRE VIDE. A LA MÉMOIRE DE GEORGES VORONOÏ. Izv. Akad. Nauk SSSR, Otdelenie Matematicheskih i Estestvennyh Nauk , 793–800. Fleming, M., Chu, Y. A., Moran, B., & Belytschko, T. (1997). Enriched element-free galerkin methods for crack tip fields. International Journal for Numerical Methods in Engineering , 40 (8), 1483–1504. https://doi.org/10.1002/(SICI)1097-0207(19970430)40:8<1483::AID NME123>3.0.CO;2-6 Gingold, R. A., & Monaghan, J. J. (1977). Smoothed particle hydrodynamics: theory and application to non-spherical stars. Monthly Notices of the Royal Astronomy Society , 181 , 375–389. Golberg, M. A., Chen, C. S., & Bowman, H. (1999). Some recent results and proposals for the use of radial basis functions in the BEM. Engineering Analysis with Boundary Elements , 23 (4), 285–296. https://doi.org/10.1016/s0955-7997(98)00087-3 GU, Y. T. (2005). Meshfree Methods and Their Comparisons. International Journal of Computational Methods , 02 (04), 477–515. https://doi.org/10.1142/s0219876205000673 Hardy, R. L. (1990). Theory and applications of the multiquadric-biharmonic method. Computers and Mathematics with Applications , 19 (8–9), 163–208. https://doi.org/10.1016/0898-1221(90)90272-L Khosravifard, A., Hematiyan, M. R., Bui, T. Q., & Do, T. V. (2017). Accurate and efficient analysis of stationary and propagating crack problems by meshless methods. Theoretical and Applied Fracture Mechanics , 87 , 21–34. https://doi.org/10.1016/j.tafmec.2016.10.004 Lancaster, P., & Salkauskas, K. (1981). Surfaces Generated by Moving Least Squares Methods. Mathematics of Computation , 37 (155), 141. https://doi.org/10.2307/2007507 Lanczos, C. (1938). Trigonometric Interpolation of Empirical and Analytical Functions. Journal of Mathematics and Physics , 17 (1–4), 123–199. https://doi.org/10.1002/sapm1938171123 Liu, G. R. (2011). Meshfree Methods Moving Beyond the Finte Element Method (2nd ed.). CRC Press. Liu, G. R., & Gu, Y. T. (2001). A point interpolation method for two-dimensional solids. International Journal for Numerical Methods in Engineering , 50 (4), 937–951. https://doi.org/10.1002/1097-0207(20010210)50:4<937::AID-NME62>3.0.CO;2-X Liu, G. R., & Gu, Y. T. (2005). An introduction to meshfree methods and their programming . Springer. Mubashar, A., & Ashcroft, I. A. (2017). Comparison of cohesive zone elements and smoothed particle hydrodynamics for failure prediction of single lap adhesive joints. Journal of Adhesion , 93 (6), 444–460. https://doi.org/10.1080/00218464.2015.1081819 Nayroles, B., Touzot, G., & Villon, P. (1992). Generalizing the finite element method: Diffuse approximation and diffuse elements. Computational Mechanics , 10 (5), 307–318. https://doi.org/10.1007/BF00364252 Rabczuk, T., Bordas, S., & Zi, G. (2010). On three-dimensional modelling of crack growth using partition of unity methods. Computers and Structures , 88 (23–24), 1391–1411. https://doi.org/10.1016/j.compstruc.2008.08.010 Rabczuk, T., Zi, G., Bordas, S., & Nguyen-Xuan, H. (2010). A simple and robust three-dimensional cracking-particle method without enrichment. Computer Methods in Applied Mechanics and Engineering , 199 (37–40), 2437–2455. https://doi.org/10.1016/j.cma.2010.03.031 Slater, J. C. (1934). Electronic Energy Bands in Metals. Physical Review , 45 (11). Sukumar, N., Moran, B., & Belytschko, T. (1998). The natural element method in solid mechanics. International Journal for Numerical Methods in Engineering , 43 , 839–887. https://doi.org/10.1002/(SICI)1097-0207(19981115)43:5<839::AID-NME423>3.0.CO;2-R Tsai, C. L., Guan, Y. L., Ohanehi, D. C., Dillard, J. G., Dillard, D. A., & Batra, R. C. (2014a). Analysis of cohesive failure in adhesively bonded joints with the SSPH meshless method. International Journal of Adhesion and Adhesives , 51 , 67–80. https://doi.org/10.1016/j.ijadhadh.2014.02.009 Tsai, C. L., Guan, Y. L., Ohanehi, D. C., Dillard, J. G., Dillard, D. A., & Batra, R. C. (2014b). Analysis of cohesive failure in adhesively bonded joints with the SSPH meshless method. International Journal of Adhesion and Adhesives , 51 , 67–80. https://doi.org/10.1016/j.ijadhadh.2014.02.009 Voronoi, G. (1908). Nouvelles applications des paramètres continus à la théorie des formes quadratiques. Deuxiäme Memoire. Reeherches sur les parallelloedres primitifs. Journal Für Die Reine Und Angewandte Mathematik , 134 , 198–287. Wang, J. G., & Liu, G. R. (2002). A point interpolation meshless method based on radial basis functions. International Journal for Numerical Methods in Engineering , 54 (11), 1623–1648. https://doi.org/10.1002/nme.489 Zhuang, X., Augarde, C., & Bordas, S. (2011). Accurate fracture modelling using meshless methods, the visibility criterion and level sets: Formulation and 2D modelling. International Journal for Numerical Methods in Engineering , 86 , 249–268.
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