Improving accuracy of opening-mode stress intensity factor in two-dimensional media using fundamental solution based finite element model

References

• Ayhan, A. O. 2007, “Stress intensity factors for three-dimensional cracks in functionally graded materials using enriched finite elements”, International Journal of Solids and Structures, Vol. 44, No. 25-26, pp. 8579–8599.
   Google Scholar
• Berger, J. R., Karageorghis, A. & Martin, P. A. 2007, “Stress intensity factor computation using the method of fundamental solutions: mixed-mode problems”, International Journal for Numerical Methods in Engineering, Vol. 69, No. 3, pp. 469–483.
   Google Scholar
• Ching, H. K. & Batra, R. C. 2001, “Determination of crack tip fields in linear elastostatics by the meshless local Petrov-Galerkin (MLPG) method”, Computer Modeling in Engineering & Sciences, Vol. 2, No. 2, pp. 273–289.
   Google Scholar
• Dolbow, J. E. & Gosz, M. 2002, “On the computation of mixed-mode stress intensity factors in functionally graded materials”, International Journal of Solids and Structures, Vol. 39, No. 9, pp. 2557–2574.
   Google Scholar
• Guinea, G. V., Planas, J. & Elices, M. 2000, “KI evaluation by the displacement extrapolation technique”, Engineering Fracture Mechanics, Vol. 66, No. 3, pp. 243–255.
   Google Scholar
• Ju, S. H. & Liu, S. H. 2007, “Determining stress intensity factors of composites using crack opening displacement”, Composite Structures, Vol. 81, No. 4, pp. 614–621.
   Google Scholar
• Karageorghis, A., Poullikkas, A. & Berger, J. R. 2006, “Stress intensity factor computation using the method of fundamental solutions”, Computational Mechanics, Vol. 37, No. 5, pp. 445–454.
   Google Scholar
• Karami, G. & Kuhn, G. 1993, “Body-force linear elastic stress intensity factor calculation using boundary element method”, Computers & Structures, Vol. 49, No. 1, pp. 107–115.
   Google Scholar
• Ortiz, J. E., Mantic, V. & Paris, F. 2006, “A domain-independent integral for computation of stress intensity factors along three-dimensional crack fronts and edges by BEM”, International Journal of Solids and Structures, Vol. 43, No. 18-19, pp. 5593–5612.
   Google Scholar
• Pian, T. H. H. & Wu, C. C. 2006, Hybrid and incompatible finite element methods, Chapman & Hall/CRC Press.
   Google Scholar
• Qin, Q. H. 1994, “Hybrid Trefftz finite-element approach for plate-bending on an elastic-foundation”, Applied Mathematical Modelling, Vol. 18, No. 6, pp. 334–339.
   Google Scholar
• Qin, Q. H. 2000, The Trefftz finite and boundary element method, WIT Press, Southampton.
   Google Scholar
• Qin, Q. H. 2003, “Solving anti-plane problems of piezoelectric materials by the Trefftz finite element approach”, Computational Mechanics, Vol. 31, No. 6, pp. 461–468.
   Google Scholar
• Qin, Q. H. & Huang, Y. Y. 1990, “BEM of postbuckling analysis of thin plates”, Applied Mathematical Modelling, Vol. 14, No. 10, pp. 544–548.
   Google Scholar
• Qin, Q. H. & Lu, M. 2000, “BEM for crack-inclusion problems of plane thermopiezoelectric solids”, International Journal for Numerical Methods in Engineering, Vol. 48, No. 7, pp. 1071–1088.
   Google Scholar
• Qin, Q. H. & Mai, Y. W. 2002, “BEM for crack-hole problems in thermopiezoelectric materials”, Engineering Fracture Mechanics, Vol. 69, No. 5, pp. 577–588.
   Google Scholar
• Qin, Q. H. & Wang, H. 2009, Matlab and C programming for Trefftz finite element methods, CRC Press, Boca Raton.
   Google Scholar
• Tada, H., Paris, P. C. & Irwin, G. R. 1985, The Stress Analysis of Cracks Handbook, 2nd editon, Paris Production Inc., St Louis, Missouri.
   Google Scholar
• Wang, H. & Qin, Q. H. 2009, “Hybrid FEM with Fundamental Solutions as trial functions for Heat Conduction Simulation”, Acta Mechanica Solida Sinica, Vol. 22, No. 5, pp. 487–498.
   Google Scholar
• Wang, H. & Qin, Q. H. 2010a, “FE approach with Green’s function as internal trial function for simulating bioheat transfer in the human eye”, Archives of Mechanics, Vol. 62, No. 6, pp. 493–510.
   Google Scholar
• Wang, H. & Qin, Q. H. 2010b, “Fundamental-solution-based finite element model for plane orthotropic elastic bodies”, European Journal of Mechanics – A/Solids, Vol. 29, No. 5, pp. 801–809.
   Google Scholar
• Wang, H. & Qin, Q. H. 2011a, “Fundamental-solution-based hybrid FEM for plane elasticity with special elements”, Computational Mechanics, Vol. 48, No. 5, pp. 515–528.
   Google Scholar
• Wang, H. & Qin, Q. H. 2011b, “Special fiber elements for thermal analysis of fiber-reinforced composites”, Engineering Computations, Vol. 28, No. 8, pp. 1079–1097.
   Google Scholar
• Wang, H., Qin, Q. H. & Kang, Y. L. 2005, “A new meshless method for steady-state heat conduction problems in anisotropic and inhomogeneous media”, Archive of Applied Mechanics, Vol. 74, No. 8, pp. 563–579.
   Google Scholar
• Wearing, J. L. & Ahmadi-Brooghani, S. Y. 1999, “The evaluation of stress intensity factors in plate bending problems using the dual boundary element method”, Engineering Analysis with Boundary Elements, Vol. 23, No. 1, pp. 3-19.
   Google Scholar
• Wen, P. H. & Aliabadi, M. H. 2011, “A variational approach for evaluation of stress intensity factors using the element free Galerkin method”, International Journal of Solids and Structures, Vol. 48, No. 7-8, pp. 1171–1179.
   Google Scholar
• Xie, D. & Qian, Q. 2009, Numerical methods and applications in crack mechanics, in Chinese, Science Press, Beijing.
   Google Scholar