DOI QR코드

DOI QR Code

Numerical Solutions for Thick-Welled Laminated Composite Spheres under Impact Pressure

충격내압을 받는 복합적층 중공구의 수치해

  • 오근 (금오공과대학교 대학원) ;
  • 심우진 (금오공과대학교 기계공학부)
  • Published : 2005.02.01

Abstract

In this paper, the thick-walled laminated, orthotropic as well as bimaterial, composite hollow spheres under impact pressure are analyzed in detail by using the semi-discrete finite element method with the Houbolt time-integration scheme which results in unconditionally stable transient numerical results. Numerical results are obtained by using the self-constructed spherically symmetric (one-dimensional) and axially symmetric (two-dimensional) finite element programs, and compared with the previous solutions by other researchers, being shown some of which are incorrect. The finite element package Nastran is also adopted for numerical comparison.

Keywords

References

  1. Huth, J.H., 1955, 'Elastic stress waves produced by pressure loads on a spherical shell,' Trans. ASME, J. Appl. Mech., Vol. 22, pp. 473-478
  2. Baker, W.E., Hu, W.C. and Jackson T.R., 1966, 'Elastic response of thin spherical shell to axisymmetric blast loading,' Trans. ASME, J. Appl. Mech., Vol. 33, pp. 800-806 https://doi.org/10.1115/1.3625185
  3. Chou, P.C. and Koenig, H.A., 1966, 'A unified approach to cylindrical and spherical elastic waves by method of characteristics,' Trans. ASME, J. Appl. Mech., Vol. 33, pp. 159-167 https://doi.org/10.1115/1.3624973
  4. Pao, Y.H. and Ceranoglu, A.N., 1978, 'Determination of transient response of a thick-walled spherical shell by the ray theory,' Trans. ASME, J. Appl. Mech., Vol. 45, pp. 114-122 https://doi.org/10.1115/1.3424212
  5. Timoshenko S. P. and Goodier J. N., 1970, Theory of Elasticity, 3rd Edn., McGraw-Hill
  6. Achenbach, J.D., 1975, Wave Propagation in Elastic Solids, North-Holland, Amsterdam
  7. Bickford, W.E. and Warren, W.E., 1967, 'The propagation and reflection of elastic waves in anisotropic hollow spheres and cylinders,' Pergamon Press Oxford, Vol. 3, pp. 433-445
  8. Matsumoto, H. and Ujibashi, S., 1972, '衝?? 力をうける異方性中空球の?形と?力,' Trans. JSME (in Japanese), Vol. 38, No. 307, pp. 466-472 https://doi.org/10.1299/kikai1938.38.466
  9. Hata T.,1986 'Determination of transient responses of a thick-walled transversely isotropic spherical shell,' Bulletin of JSME,Vol. 29 pp. 2810-2816 https://doi.org/10.1299/jsme1958.29.2810
  10. Wang, X., 1994, 'An elastodynamic solution for an anisotropic hollow sphere,' Int. J. Solids Structures , Vol. 31, pp. 903-911 https://doi.org/10.1016/0020-7683(94)90001-9
  11. Kobayashi, H. and Ishimaru, K., 1995, Letter to the editor-Discussion of An elastodynamic solution for an anisotropic hollow sphere,' Int. J. Solids Structures, Vol. 32, pp. 127-133 https://doi.org/10.1016/0020-7683(94)00134-I
  12. Rhie, Y.B. and Chunm, C.K., 1997, 'Investigation of the Stress Distributions in a Transversely Isotropic Medium Containing a Spheroidal Cavity,' J. Comp. Struct. Eng. Inst. (in korean), Vol.10, No.1, 159-172
  13. Lee, J.Y. and Kang, Y.C., 'Chaotic Response of a Spherical Shell to Impulsive Loading, ' J. Comp Struct. Eng. Inst. (in Korean), Vol. 10 , No.3, pp. 167-174
  14. Shin, H.S., Woo, S.C., Lee, H.C. and Kim, M.S., 2002, 'Impact Damage of Brittle Materials by Small Spheres (II),' Trans. of the KSME A (in Korean), Vol. 26 , No.1, pp. 153-159 https://doi.org/10.3795/KSME-A.2002.26.1.153
  15. Chang, S.N., Yoo, Y.H. and Chung, D.T., 2002, 'Numerical Simulation of High-Velocity Oblique Impact of Mild Steel Spheres Against Mild Steel Plates,' Trans. of the KSME A (in Korean), Vol. 26, No.3, pp. 576-585 https://doi.org/10.3795/KSME-A.2002.26.3.576
  16. Lee, Y.S. and Lee, H., 1989, 'Static and Dynamic Analysis of Laminated Composite Axisymmetric Shell,' Trans. of the KSME (in Korean), Vol. 13, No.6, pp. 1203-1214
  17. Kim, S.J., Goo, N.S., Yu, J.Y. and Kim, T.W., 1995, 'Impact Response and Damage Analysis of Cylindrical Composite Panels,' J. KSCM (in Korean), Vol. 8, No.1, pp. 34-42
  18. Cho, C.D. and Zhao, G.P., 1999, 'Dynamic Response and Damage of Composite Shell Under Impact,' KSME Int. J., Vol. 13, No.9, pp. 596-608 https://doi.org/10.1007/BF03184570
  19. Wang, X., Lu, G. and Guillow, S.R., 2002, 'Stress wave propagation in orthotropic laminated thick-walled spherical shells,' Int. J. Solids and Structures, Vol. 39, pp. 4027-4037 https://doi.org/10.1016/S0020-7683(02)00264-0
  20. J.N. Reddy, 1993, An Introduction to the Finite Element method, 2nd edn., McGraw-Hill, Chap. 6
  21. Hughes, T.J.R., 1987, The Finite Element Method-Linear Static and Dynamic Finite Element Analysis, Prentice-Hall. Chap.9
  22. Bathe, K.J., 1996, Finite Element Procedures, Prentice-Hill, Englewood Cliffs, Chap. 9