Thermoelastic fracture analysis in orthotropic media using optimized element free Galerkin algorithm

References

• N. I. Muskhelishvili, Some basic problems of the mathematical theory of elasticity, Noordhoff. Groningen., vol. 17404, no. 6.2, pp. 52–84, 1963.
   Google Scholar
• S. G. Lekhnitskii, P. Fern, J. J. Brandstatter, and E. H. Dill, Theory of elasticity of an anisotropic elastic body, Phys. Today., vol. 17, no. 1, pp. 84–84, 1964. DOI: 10.1063/1.3051394.
   Google Scholar
• G. C. Sih, P. C. Paris, and G. R. Irwin, On cracks in rectilinearly anisotropic bodies, Int J Fract., vol. 1, no. 3, pp. 189–203, 1965. DOI: 10.1007/BF00186854.
   Web of Science ®Google Scholar
• O. L. Bowie, and C. E. Freese, Central crack in plane orthotropic rectangular sheet, Int J Fract., vol. 8, no. 1, pp. 49–57, 1972. DOI: 10.1007/BF00185197.
   Web of Science ®Google Scholar
• M. C. Kuo, and D. B. Bogy, Plane solutions for the displacement and traction-displacement problems for anisotropic elastic wedges, Am. Soc. Mech. Eng., vol. 41, no. 1, pp. 197–202, 1974. DOI: 10.1115/1.3423223.
   Web of Science ®Google Scholar
• E. Viola, A. Piva, and E. Radi, Crack propagation in an orthotropic medium under general loading, Eng. Fract. Mech., vol. 34, no. 5–6, pp. 1155–1174, 1989. DOI: 10.1016/0013-7944(89)90277-4.
   Web of Science ®Google Scholar
• W. K. Lim, S. Y. Choi, and B. V. Sankar, Biaxial load effects on crack extension in anisotropic solids, Eng. Fract. Mech., vol. 68, no. 4, pp. 403–416, 2001. DOI: 10.1016/S0013-7944(00)00103-X.
   Web of Science ®Google Scholar
• L. Nobile, and C. Carloni, Fracture analysis for orthotropic cracked plates, Compos. Struct., vol. 68, no. 3, pp. 285–293, May 2005. DOI: 10.1016/j.compstruct.2004.03.020.
   Web of Science ®Google Scholar
• D. M. Barnett, and R. J. Asaro, The fracture mechanics of slit-like cracks in anisotropic elastic media, J. Mech. Phys. Solids., vol. 20, no. 6, pp. 353–366, 1972. DOI: 10.1016/0022-5096(72)90013-0.
   Web of Science ®Google Scholar
• S. N. Atluri, A. S. Kobayashi, and M. Nakagaki, Finite element program for fracture mechanics analysis of composite material, Fract. Mech. Comp. ASTM Int., vol. D40, pp. 86–98, 1975. DOI: 10.1520/STP34793S.
   Google Scholar
• M. H. Aliabadi, and P. Sollero, Crack growth analysis in homogeneous orthotropic laminates, Compos. Sci. Technol., vol. 58, no. 10, pp. 1697–1703, 1998. DOI: 10.1016/S0266-3538(97)00240-6.
   Web of Science ®Google Scholar
• J.-H. Kim, and G. H. Paulino, Mixed-mode fracture of orthotropic functionally graded materials using finite elements and the modified crack closure method, Eng. Fract.Mech., vol. 69, no. 14-16, pp. 1557–1586, 2002. DOI: 10.1016/S0013-7944(02)00057-7.
   Web of Science ®Google Scholar
• A. Asadpoure, S. Mohammadi, and A. Vafai, Modeling crack in orthotropic media using a coupled finite element and partition of unity methods, Finite Elem. Anal. Des., vol. 42, no. 13, pp. 1165–1175, Sep. 2006. DOI: 10.1016/j.finel.2006.05.001.
   Web of Science ®Google Scholar
• A. Asadpoure, S. Mohammadi, and A. Vafai, Crack analysis in orthotropic media using the extended finite element method, Thin-Walled Struct., vol. 44, no. 9, pp. 1031–1038, Sep. 2006. DOI: 10.1016/j.tws.2006.07.007.
   Web of Science ®Google Scholar
• A. Asadpoure, and S. Mohammadi, Developing new enrichment functions for crack simulation in orthotropic media by the extended finite element method, Int. J. Numer. Meth. Eng., vol. 69, no. 10, pp. 2150–2172, 2007. DOI: 10.1002/nme.1839.
   Web of Science ®Google Scholar
• D. Motamedi, and S. Mohammadi, Dynamic crack propagation analysis of orthotropic media by the extended finite element method, Int J Fract., vol. 161, no. 1, pp. 21–39, 2010. DOI: 10.1007/s10704-009-9423-7.
   Web of Science ®Google Scholar
• D. Motamedi, and S. Mohammadi, Dynamic analysis of fixed cracks in composites by the extended finite element method, Eng. Fract. Mech., vol. 77, no. 17, pp. 3373–3393, Nov. 2010. DOI: 10.1016/j.engfracmech.2010.08.011.
   Web of Science ®Google Scholar
• T. Belytschko, Y. Y. Lu, and L. Gu, Element free Galerkin methods, Int. J. Numer. Meth. Eng., vol. 37, no. 2, pp. 229–256, 1994. DOI: 10.1002/nme.1620370205.
   Web of Science ®Google Scholar
• T. Belytschko, L. Gu, and Y. Y. Lu, Fracture and crack growth by element free Galerkin methods, Model. Simul. Mater. Sci. Eng., vol. 2, no. 3A, pp. 519–534, 1994. DOI: 10.1088/0965-0393/2/3A/007.
   Web of Science ®Google Scholar
• T. Belytschko, Y. Y. Lu, L. Gu, and M. Tabbara, Element-free galerkin methods for static and dynamic fracture, Int. J. Solids Struct., vol. 32, no. 17–18, pp. 2547–2570, 1995. DOI: 10.1016/0020-7683(94)00282-2.
   Web of Science ®Google Scholar
• J. S. Chen, and H. P. Wang, New boundary condition treatments in meshfree computation of contact problems, Comput. Methods Appl. Mech. Eng., vol. 187, no. 3–4, pp. 441–468, 2000. DOI: 10.1016/S0045-7825(00)80004-3.
   Web of Science ®Google Scholar
• L. Xuan, Meshless element-free Galerkin method in NDT applications, AIP Conf. Proc., vol. 2003, pp. 1960–1967, 1960. vol DOI: 10.1063/1.1473033.
   Google Scholar
• M. Li, E. Werner, and J. H. You, Influence of heat flux loading patterns on the surface cracking features of tungsten armor under ELM-like thermal shocks, J. Nucl. Mater., vol. 457, pp. 256–265, 2015. DOI: 10.1016/j.jnucmat.2014.11.026.
   Web of Science ®Google Scholar
• A. Awasthi, and M. Pant, A revamped element-free galerkin algorithm for accelerated simulation of fracture and fatigue problems in two-dimensional domains, Iran. J. Sci. Technol. Trans. Mech. Eng., 2022. DOI: 10.1007/s40997-021-00471-z.
   Web of Science ®Google Scholar
• I. V. Singh, K. Sandeep, and R. Prakash, Heat transfer analysis of two-dimensional fins using meshless element free Galerkin method, Numer. Heat Transf. Part A Appl., vol. 44, no. 1, pp. 73–84, 2003. DOI: 10.1080/713838174.
   Web of Science ®Google Scholar
• H. Pathak, A. Singh, and I. V. Singh, Fatigue crack growth simulations of homogeneous and bi-material interfacial cracks using element free Galerkin method, Appl. Math. Model., vol. 38, no. 13, pp. 3093–3123, 2014. DOI: 10.1016/j.apm.2013.11.030.
   Web of Science ®Google Scholar
• S. Garg, and M. Pant, Numerical simulation of thermal fracture in functionally graded materials using element-free Galerkin method, Sadhana Acad. Proc. Eng. Sci., vol. 42, no. 3, pp. 417–431, Mar 2017. DOI: 10.1007/s12046-017-0612-1.
   Web of Science ®Google Scholar
• V. P. Nguyen, T. Rabczuk, S. Bordas, and M. Duflot, Meshless methods: A review and computer implementation aspects, Math. Comput. Simul., vol. 79, no. 3, pp. 763–813, 2008. DOI: 10.1016/j.matcom.2008.01.003.
   Web of Science ®Google Scholar
• M. Pant, I. V. Singh, and B. K. Mishra, Numerical simulation of thermo-elastic fracture problems using element free Galerkin method, Int. J. Mech. Sci., vol. 52, no. 12, pp. 1745–1755, Dec. 2010. DOI: 10.1016/j.ijmecsci.2010.09.008.
   Web of Science ®Google Scholar
• M. Pant, I. V. Singh, and B. K. Mishra, A numerical study of crack interactions under thermo-mechanical load using EFGM, J Mech Sci Technol., vol. 25, no. 2, pp. 403–413, 2011. DOI: 10.1007/s12206-010-1217-3.
   Web of Science ®Google Scholar
• H. Pathak, A. Singh, and I. V. Singh, Numerical simulation of bi-material interfacial cracks using EFGM and XFEM, Int J Mech Mater Des., vol. 8, no. 1, pp. 9–36, Mar. 2012. DOI: 10.1007/s10999-011-9173-3.
   Web of Science ®Google Scholar
• M. Pant, and S. Bhattacharya, Fatigue crack growth analysis of functionally graded materials by EFGM and XFEM, Int. J. Comput. Methods., vol. 14, no. 1, pp. 1750004, Feb. 2017. DOI: 10.1142/S0219876217500049.
   Web of Science ®Google Scholar
• H. Salari-Rad, M. Rahimi-Dizadji, S. Rahimi-Pour, and M. Delforouzi, Meshless EFG simulation of linear elastic fracture propagation under various loadings, Arab J Sci Eng., vol. 36, no. 7, pp. 1381–1392, Nov. 2011. DOI: 10.1007/s13369-011-0125-x.
   Web of Science ®Google Scholar
• S. Garg, and M. Pant, Numerical simulation of thermal fracture in coatings using element free galerkin method, Indian J. Eng. Mater. Sci., vol. 25, no. 3, pp. 217–232, 2018.
   Web of Science ®Google Scholar
• M. Duflot, The extended finite element method in thermoelastic fracture mechanics, Int. J. Numer. Meth. Engng., vol. 74, no. 5, pp. 827–847, 2008. DOI: 10.1002/nme.2197.
   Web of Science ®Google Scholar
• S. S. Hosseini, H. Bayesteh, and S. Mohammadi, Thermo-mechanical XFEM crack propagation analysis of functionally graded materials, Mater. Sci. Eng. A., vol. 561, pp. 285–302, 2013. DOI: 10.1016/j.msea.2012.10.043.
   Web of Science ®Google Scholar
• L. Bouhala, A. Makradi, and S. Belouettar, Thermal and thermo-mechanical influence on crack propagation using an extended mesh free method, Eng. Fract. Mech., vol. 88, pp. 35–48, Jul 2012. DOI: 10.1016/j.engfracmech.2012.04.001.
   Web of Science ®Google Scholar
• S. Garg, and M. Pant, Numerical simulation of adiabatic and isothermal cracks in functionally graded materials using optimized element-free Galerkin method, J. Therm. Stress., vol. 40, no. 7, pp. 846–865, Jul 2017. DOI: 10.1080/01495739.2017.1287534.
   Web of Science ®Google Scholar
• S. Kosaraju, V. G. Anne, and B. B. Popuri, Taguchi analysis on cutting forces and temperature in turning titanium Ti-6Al-4V, Int. J. Mech. Ind. Eng., vol. 2, no. 1, pp. 59–63, 2012. DOI: 10.47893/ijmie.2012.1068.
   Google Scholar
• S. S. Mahapatra, and A. Patnaik, Optimization of wire electrical discharge machining (WEDM) process parameters using Taguchi method, Int J Adv Manuf Technol., vol. 34, no. 9-10, pp. 911–925, 2007. DOI: 10.1007/s00170-006-0672-6.
   Web of Science ®Google Scholar
• P. Lancaster, and K. Salkauskas, Surfaces generated by moving least squares methods, Math. Comp., vol. 37, no. 155, pp. 141–158, 1981. DOI: 10.1090/S0025-5718-1981-0616367-1.
   Web of Science ®Google Scholar
• B. N. Rao, and S. Rahman, Mesh-free analysis of cracks in isotropic functionally graded materials, Eng. Fract. Mech., vol. 70, no. 1, pp. 1–27, 2003. DOI: 10.1016/S0013-7944(02)00038-3.
   Web of Science ®Google Scholar
• H. Jia, Y. Nie, and J. Li, Fracture analysis in orthotropic thermoelasticity using extended finite element method, Adv. Appl. Math. Mech., vol. 7, no. 6, pp. 780–795, Dec. 2015. DOI: 10.4208/aamm.2014.m627.
   Web of Science ®Google Scholar
• H. Wang, Y. Liu, P. Yang, R. Wu, and Y. He, Parametric study and optimization of H-type finned tube heat exchangers using Taguchi method, Appl. Therm. Eng., vol. 103, pp. 128–138, 2016. DOI: 10.1016/j.applthermaleng.2016.03.033.
   Web of Science ®Google Scholar
• M. P. Elizalde-González, and L. E. García-Díaz, Application of a Taguchi L16 orthogonal array for optimizing the removal of acid orange 8 using carbon with a low specific surface area, Chem. Eng. J., vol. 163, no. 1–2, pp. 55–61, 2010. DOI: 10.1016/j.cej.2010.07.040.
   Web of Science ®Google Scholar
• S. S. Ghorashi, S. Mohammadi, and S. R. Sabbagh-Yazdi, Orthotropic enriched element free Galerkin method for fracture analysis of composites, Eng. Fract. Mech., vol. 78, no. 9, pp. 1906–1927, Jun. 2011. DOI: 10.1016/j.engfracmech.2011.03.011.
   Web of Science ®Google Scholar
• L. Bouhala, A. Makradi, and S. Belouettar, Thermo-anisotropic crack propagation by XFEM, Int. J. Mech. Sci., vol. 103, pp. 235–246, Nov2015. DOI: 10.1016/j.ijmecsci.2015.09.014.
   Web of Science ®Google Scholar
• I. Pasternak, Boundary integral equations and the boundary element method for fracture mechanics analysis in 2D anisotropic thermoelasticity, Eng. Anal. Bound. Elem., vol. 36, no. 12, pp. 1931–1941, 2012. DOI: 10.1016/j.enganabound.2012.07.007.
   Web of Science ®Google Scholar
• Y. C. Shiah, and C. L. Tan, Fracture mechanics analysis in 2-D anisotropic thermoelasticity using BEM, C. Comput. Model. Eng. Sci., vol. 1, no. 3, pp. 91–99, 2000. DOI: 10.3970/cmes.2000.001.393.
   Web of Science ®Google Scholar
• S. Xing, P. Dong, and A. Threstha, Analysis of fatigue failure mode transition in load-carrying fillet-welded connections, Mar. Struct., vol. 46, pp. 102–126, 2016. DOI: 10.1016/j.marstruc.2016.01.001.
   Web of Science ®Google Scholar
• T. Nykänen, X. Li, T. Björk, and G. Marquis, A parametric fracture mechanics study of welded joints with toe cracks and lack of penetration, Eng. Fract. Mech., vol. 72, no. 10, pp. 1580–1609, 2005. DOI: 10.1016/j.engfracmech.2004.11.004.
   Web of Science ®Google Scholar
• W. Song, X. Liu, and F. Bertob, Low and high cycle fatigue assessment of mismatched load-carrying cruciform joints, Procedia Struct. Integr., vol. 13, pp. 2227–2232, 2018. DOI: 10.1016/j.prostr.2018.12.136.
   Google Scholar
• R. Ghafoori-Ahangar, and Y. Verreman, Fatigue behavior of load-carrying cruciform joints with partial penetration fillet welds under three-point bending, Eng. Fract. Mech., vol. 215, pp. 211–223, 2019. DOI: 10.1016/j.engfracmech.2019.05.015.
   Web of Science ®Google Scholar
• R. Singh, Stress analysis of orthotropic and isotropic connecting rod using finite element method, Int. J. Mech. Eng., vol. 2, no. 2, pp. 91–100, 2013.
   Google Scholar
• S. Chougale, Thermal and structural analysis of connecting rod of an IC engine, J. Emerg. Technol. Innov. Res., vol. 4, no. 6, pp. 209–215, 2017.
   Google Scholar