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Journal of mechanical science and technology v.22 no.3, 2008년, pp.450 - 459   피인용횟수: 1

Elastic analysis of unbounded solids using volume integral equation method

Lee, Jung-Ki    (Department of Mechano-Informatics and Design Engineering, Hongik University  );
  • 초록

    A volume integral equation method(VIEM) is used to calculate the plane elastostatic field in an unbounded isotropic elastic medium containing isotropic or anisotropic inclusions subject to remote loading. It should be noted that this newly developed numerical method does not require the Green's function for anisotropic inclusions to solve this class of problems, since only the Green's function for the unbounded isotropic matrix is involved in their formulation for the analysis. A detailed analysis of displacement and stress fields is carried out for isotropic or anisotropic inclusions. The method is shown to be very accurate and effective for investigating the local stresses in composites containing isotropic or anisotropic fibers.


  • 주제어

    Elastic analysis .   Volume integral equation method .   VIEM .   Boundary integral equation method .   Finite element method.  

  • 참고문헌 (25)

    1. A. Saez, and J. Dominguez, Far field dynamic Green's functions for BEM in transversely isotropic solids, Wave Motion 32 (2000) 113-123 
    2. C. -Y. Wang and J. D. Achenbach, Threedimensional time-harmonic elastodynamic Green's functions for anisotropic solids, Proc. R. Soc. Lond. A, 449 (1995) 441-458 
    3. P. K. Banerjee, The boundary element methods in engineering, McGraw-Hill, U.K. (1993) 
    4. C. Hwu and W. J. Yen, On the anisotropic elastic inclusions in plane elastostatics, Journal of Applied Mechanics - Transactions of the ASME 60 (1993) 626-632 
    5. H. C. Yang and Y. T. Chou, Generalized plane problems of elastic inclusions in anisotropic solid1, Journal of Applied Mechanics - Transactions of the ASME 43 (1976) 424-430 
    6. J. K. Lee and A. K. Mal, A volume integral equation technique for multiple scattering problems in elastodynamics, Applied Mathematics and Computation 67 (1995) 135-159 
    7. B. N. Cox, M. S. Dadkhah, M. R. James, D. B. Marshall, W. L. Morris and M. Shaw, On determining temperature dependent interfacial shear properties and bulk residual stresses in fibrous composites, Acta metall. mater 38 (1990) 2425-2433 
    8. M. Doblare, E. Espiga, L. Gracia and M. Alcantud, Study of crack propagation in orthotropic materials by using the boundary element method, Engineering Fracture Mechanics 37 (5) (1990) 953-967 
    9. G. R. Tomlin and R. Butterfield, Elastic analysis of zoned orthotropic continua, Proceedings of ASCE, EM3 (1974) 511-529 
    10. S. Lu and T. Q. Ye, Direct evaluation of singular integrals in elastoplastic analysis by the boundary element method, International Journal for Numerical Methods in Engineering 32 (1991) 295-311 
    11. A. Saez, and J. Dominguez, BEM analysis of wave scattering in transversely isotropic solids, Int. J.Numer. Meth. Engng. 44 (1999) 1283-1300 
    12. V. A. Buryachenko and V. T. Bechel, A series solution of the volume integral equation for multiple inclusion interaction problems, Compos. Sci. Technol. 60 (2000) 2465-2469 
    13. A. K. Mal and L. Knopoff, Elastic wave velocities in two component systems, J. Inst. Math. Applics. 3 (1967) 376-387 
    14. PATRAN User's Manual, Version 7.0, MSC/PATRAN, (1998) 
    15. M. Cerrolaza and E. Alarcon, A bi-cubic transformation for the numerical evaluation of the Cauchy principal value integrals in boundary principal value integrals in boundary methods, International Journal for Numerical Methods in Engineering 28 (1989) 987-999 
    16. M. D. Snyder and T. A. Cruse, Boundary integral equation analysis of cracked anisotropic plates, International Journal of Fracture 11 (2) (1975) 315- 328 
    17. J. K. Lee and A. K. Mal, A volume integral equation technique for multiple inclusion and crack interaction problems, Transactions of the ASME - Journal of Applied Mechanics 64 (1997) 23-31 
    18. F. J. Rizzo, D. J. Shippy and M. Rezayat, A boundary integral equation method for radiation and scattering of elastic waves in three dimensions, International Journal for Numerical Methods in Engineering 21 (1985) 115-129 
    19. J. K. Lee, S. J. Choi and A. Mal, Stress analysis of an unbounded elastic solid with orthotropic inclusions and voids using a new integral equation technique, Int. J. Solids Structures 38 (16) (2001) 2789- 2802 
    20. K. J. Lee and A. K. Mal, A boundary element method for plane anisotropic elastic media, Journal of Applied Mechanics 57 (1990) 600-606 
    21. H. B. Li and G. M. Han, A new method for evaluating singular integrals in stress analysis of solids by the direct boundary element method, International Journal for Numerical Methods in Engineering 21 (1985) 2071-2098 
    22. A. K. Mal and S. J. Singh, Deformation of Elastic Solids, Prentice-Hall, Englewood Cliffs, NJ. (1991) 
    23. G. Davi, A. Milazzo, Stress fields in composite cross-ply laminates, In: R.C. Ertekin, C.A. Brebbia, M. Tanaka, and R. Shaw, (Eds.), Computational Mechanics, Eleventh International Conference on Boundary Element Technology 96 (1996) 175-184 
    24. C. Y. Dong, S. H. Lo and Y. K. Cheung, Numerical solution of 3D elastostatic inclusion problems using the volume integral equation method, Comput.Methods Appl. Mech. Engrg. 192 (2003) 95-106 
    25. J. K. Lee, H. D. Han and A. Mal, Effects of anisotropic fiber packing on stresses in composites, Comput. Methods Appl. Mech. Engrg. 195 (2006) 4544- 4556 
  • 이 논문을 인용한 문헌 (1)

    1. 2010. "" Journal of mechanical science and technology, 24(12): 2529~2537     

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