Cavity detection in biomechanics by an inverse evolutionary point load BEM technique

References

• Kennon, SR, and Dulikravich, GS, 1986. Inverse design of multiholed internally cooled turbine blades, Int. J. Numer. Methods Eng. 22 (1986), pp. 363–375.
   Web of Science ®Google Scholar
• Kubo, S, 1988. Inverse problems related to the mechanics and fracture of solids and structures, JSME Int. J. 31 (1988), pp. 157–166.
   Web of Science ®Google Scholar
• Krapez, JC, and Cielo, P, 1991. Thermographic nondestructive evaluation: data inversion procedures, Part I: 1-D Analysis, Res. Nondestr. Eval. 3 (1991), pp. 81–100.
   Google Scholar
• Krapez, JC, Maldague, X, and Cielo, P, 1991. Thermographic nondestructive evaluation: data inversion procedures, Part II: 2-D Analysis, Res. Nondestr. Eval. 3 (1991), pp. 101–124.
   Google Scholar
• Dulikravich, GS, and Kosovic, B, 1992. Minimization of the number of cooling holes in internally cooled turbine blades, Int. J. Turbo Jet Eng. 9 (1992), pp. 226–283.
   Google Scholar
• Maldague, X, 1992. Non Destructive Evaluation of Materials by Infrared Thermography. New York: Springer-Verlag; 1992.
   Google Scholar
• Divo, EA, Kassab, AJ, and Rodríguez, F, 2004. An efficient singular superposition technique for cavity detection and shape optimization, Numer. Heat Transfer, Part B, Taylor & Francis 46 (2004), pp. 1–30.
   Web of Science ®Google Scholar
• Ulrich, TW, Moslehy, FA, and Kassab, AJ, 1996. A BEM based pattern search solution for a class of inverse elastostatic problems, Int. J. Solids Struc. 33 (15) (1996), pp. 2123–2131.
   Web of Science ®Google Scholar
• Kassab, AJ, Moslehy, FA, and Daryapurkar, AB, 1994. Nondestructive detection of cavities by an inverse elastostatics boundary element method, J. Eng. Anal. Bound. Elem. 13 (1994), pp. 45–55.
   Web of Science ®Google Scholar
• Kassab, AJ, Moslehy, FA, and Ulrich, TW, 1995. "Inverse boundary element solution for locating subsurface cavities in thermal and elastostatic problems". In: Atluri, SN, Yagawa, G, and Cruse, TA, eds. Proc. IABEM-95, Computational Mechanics ‘95. Berlin, Hawaii: Springer; 1995. pp. 3024–3029.
   Google Scholar
• Ozisik, NM, and Orlande, H, 2001. Inverse Heat Transfer. New York: Taylor & Francis; 2001.
   Google Scholar
• Kurpisz, K, and Nowak, A, 1995. Inverse Thermal Problems. Southampton and Boston: Computational Mechanics Publications; 1995.
   Google Scholar
• Bonnet, M, Burczynski, R, and Nowakowski, M, 2002. Sensitivity analysis for shape perturbation of cavity or internal crack using BIE and adjoint variable approach, Int. J. Solids Struct. 39 (2002), pp. 2365–2385.
   Web of Science ®Google Scholar
• Burczynski, T, and Beluch, W, 2001. The identification of cracks using boundary elements and evolutionary algorithms, J. Eng. Anal. Bound. Elem. 25 (2001), pp. 313–322.
   Web of Science ®Google Scholar
• Bialecki, R, Divo, E, and Kassab, A, 2006. Reconstruction of time-dependent boundary heat flux by a BEM-based inverse algorithm, J. Eng. Anal. Bound. Elem. 30 (2006), pp. 767–773.
   Web of Science ®Google Scholar
• Divo, EA, and Kassab, AJ, 2005. A meshless method for conjugate heat transfer problems, J. Eng. Anal. Bound. Elem. 29 (2005), pp. 136–149.
   Web of Science ®Google Scholar
• Divo, EA, Kassab, AJ, and Ingber, MS, 2003. Shape optimization of acoustic scattering bodies, J. Eng. Anal. Bound. Elem. 27 (2003), pp. 695–703.
   Web of Science ®Google Scholar
• Divo, EA, Kassab, AJ, Kapat, JS, and Chyu, MK, 2005. Retrieval of multidimensional heat transfer co-efficent distributions using an inverse BEM-based regularized algorithm: numerical and experimental results, J. Eng. Anal. Bound. Elem. 29 (2005), pp. 150–160.
   Web of Science ®Google Scholar
• Mellings, SC, and Aliabiadi, MH, 1993. Brebbia, CA, and Rencis, JJ, eds. Crack Identification using Inverse Analysis, in Boundary Elements XV, Vol. 2. Boston: Computational Mechanics Publications; 1993. pp. 387–398.
   Google Scholar
• Mellings, SC, and Aliabadi, MH, 1996. Three-dimensional flaw identification using inverse analysis, Int. J. Eng. Sci. 34 (84) (1996), pp. 453–469.
   Web of Science ®Google Scholar
• Rus, G, and Gallego, R, 2002. Optimization algorithms for identification inverse problems with the boundary element method, J. Eng. Anal. Bound. Elem. 26 (2002), pp. 315–327.
   Web of Science ®Google Scholar
• Gallego, R, and Rus, G, 2004. Identification of cracks and cavities using the topological boundary integral equation, Comp. Mech. 33 (2004), pp. 154–163.
   Web of Science ®Google Scholar
• Marin, L, 2005. Detection of cavities in Helmholtz-type equations using the boundary element method, J. Compu. Method. Appl. Mech. Eng. 194 (2005), pp. 4006–4023.
   Web of Science ®Google Scholar
• Cerrolaza, M, Annicchiarico, W, and Martinez, M, 2000. Optimization of 2D boundary element models using B-splines and genetic algorithms, Eng. Anal. Bound. Elem 24 (5) (2000), pp. 427–440.
   Web of Science ®Google Scholar
• Müller-Karger, C, González, C, Alibadi, MH, and Cerrolaza, M, 2001. Three dimensional BEM and FEM stress analysis of the human tibia under pathological conditions, J. Comp. Mod. Eng. Sci. 2 (1) (2001), pp. 1–13.
   Web of Science ®Google Scholar
• Annicchiarico, W, and Cerrolaza, M, 2002. An evolutionary approach for the shape optimization of general boundary elements models, Electron. J. Bound. Elem. 2 (2002), pp. 251–266.
   Google Scholar
• Annicchiarico, W, and Cerrolaza, M, 2004. A 3D boundary element optimization approach based on genetic algorithms and surface modeling, Eng. Anal. Bound. Elem. 28 (11) (2004), pp. 1351–1361.
   Web of Science ®Google Scholar
• Annicchiarico, W, Martínez, G, and Cerrolaza, M, 2005. Boundary elements and B-spline modeling for medical applications, J. App. Math. Mod. 31 (2) (2005), pp. 194–208.
   Web of Science ®Google Scholar
• Martínez, G, and Cerrolaza, M, 2006. A bone adaptation integrated approach using BEM, J. Eng. Anal. Bound. Elem. 30 (2006), pp. 107–115.
   Web of Science ®Google Scholar
• Brebbia, CA, and Dominguez, J, 1989. "Boundary element, An introductory course". In: Computational mechanics Publ. New York: Boston, (co-published with McGraw-Hill; 1989. pp. 134–250.
   Google Scholar
• Kane, JH, 1994. Boundary Element Analysis in Engineering Continuum Mechanics. Englewood Cliffs, New Jersey: Prentice Hall; 1994. p. 07632.
   Google Scholar
• Goldberg, D, and Richarson, J, 1987. Genetic algorithms with sharing for multimodal function optimization, Proceedings of the Second International Conference on Genetic Algorithms and Their Applications (1987), pp. 41–49.
   Google Scholar
• Goldberg, D, 1989. Genetic Algorithms in Search, Optimization, and Machine Learning. Reading, MA: Addison-Wesley; 1989.
   Google Scholar