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Two-Dimensional Infinite Element for Dynamic Analysis of Saturated Two-Phase Soil

포화된 2상 지반의 동적해석을 위한 2차원 무한요소

  • 김재민 (여수대학교 건설환경공학부)
  • Published : 2005.08.01

Abstract

This paper presents a new infinite element for modeling far-field region in dynamic analysis of a fluid-saturated two-phase medium. The infinite element method combined to the infinite element method has been effectively applied to several engineering problems where the full space or half-space medium should be modeled. However, the currently available infinite element for dynamic analysis of two-phase porous medium has a limitation that Pl and P2 waves can only be Included in shape function expressing behavior ol the body. In this paper, the infinite element method is extended to simulate arbitrary number of multi-component waves. For this purpose, the far-field of the porous medium is assumed to be a layered half-space, while the near-field Includes structures as well as irregular soil medium. The accuracy and effectiveness of the proposed element have demonstrated using 1-D and 2-D wave propagation problems.

이 논문에서는 포화된 2상 지반의 동적해석에서 원역을 모형화하기 위한 새로운 무한요소를 제안하였다. 무한요소법은 무한영역 또는 반무한영역을 모형화해야 하는 공학문제에 효과적으로 적용되어 왔다. 그러나 현재까지 개발된 2상지반의 동적해석을 위한 무한요소는 형상함수에 사용될 수 있는 파동성문이 2개(Pl파와 P2파)로 한정되어 있다. 이 논문에서는 이와 같은 제한을 없애고 임의 개수의 파동성분을 고려할 수 있도록 하는 정식화 과정을 제안하였다. 구조물을 포함하는 근역은 유한요소로 나타내며 원역은 평행층상 반무한 지반으로 가정하였다. 제안된 무한요소의 타당성은 1차원 및 2차원 파동전달문제를 해석하고 이를 이론해 및 정밀수지해석 해와 비교하여 검증하였다.

Keywords

References

  1. Biot, M.A., 'Theory of propagation of elastic waves in a fluid-saturated porous solid: II. Higher frequency range,' J. Acous. Soc. Am., Vol. 28, No. 2, 1956, pp. 179-191 https://doi.org/10.1121/1.1908241
  2. Kim, S-H., Kim, K-J. and Blouin, S.E. 'Analysis of wave propagation in saturated porous media. I. Theoretical solutions,' Computer Methods in Applied Mechanics and Engineering, 2002, pp. 4061-4073
  3. 이진호, 박정준, 김재관, 진병무, '지하수로 포화된 가로등방성 층상지반에 설치된 강체 원형 기초의 동적 거동', 2005년도 한국지진공학회 학술발표회 논문집, 2005, pp. 47-51
  4. Zienkiewicz, O.C. and Shiomi, T., 'Dynamic behaviour of saturated porous media; The generalized Biot formulation and its numerical solution,' Int. J. Num. and Anal. Meth. Eng., Vol. 8, 1984, pp. 71-96 https://doi.org/10.1002/nag.1610080106
  5. Khalili, N, Valliappan, S., Yazdi, J.T. and Yazdchi, M., '1D infinite element for dynamic problems in saturated porous media,' Comm. Num. Meth. Eng., Vol. 13, 1997, pp. 727-738 https://doi.org/10.1002/(SICI)1099-0887(199709)13:9<727::AID-CNM102>3.0.CO;2-I
  6. Khalili, N, Yazdchi, M. and Valliappan, S., 'Wave propagation analysis of two-phase saturated media using coupled finite-infinite element method,' Soil Dyn. Earth. Eng., Vol. 18, 1999, pp. 533-553 https://doi.org/10.1016/S0267-7261(99)00029-9
  7. Nogami, T. and Kazama, M., 'Dynamic response analysis of submerged soil by thin layer element method,' Soil Dyn. Earth. Eng., Vol. 11, 1992, pp. 17-26 https://doi.org/10.1016/0267-7261(92)90023-7
  8. Bougacha, S., Tassoulas, J.L. and Roesset, J.M., 'Analysis of foundations on fluid-filled poroelastic stratum,' J. Eng. Mech., ASCE, Vol. 119, No. 8, 1993, pp. 1632-1648 https://doi.org/10.1061/(ASCE)0733-9399(1993)119:8(1632)
  9. Senjuntichai, T., 'Green's function for multilayered poroelastic medium and an indirect boundary element method,' Ph.D. Dissertation, Dept. of Civil & Geological Eng., U. of Manitoba, Canada, 1994
  10. Akiyoshi, T., Sun, X. and Fuchida, K., 'General absorbing boundary conditions for dynamic analysis of fluid-saturated porous media,' Soil Dyn. Earth. Eng., Vol. 17, 1996, pp. 397-406
  11. Sharma, M.D., 'Dispersion in oceanic crust during earthquake preparation,' Int. J. Solids Str., 1999, Vol. 36, pp. 3469-3482 https://doi.org/10.1016/S0020-7683(98)00160-7
  12. Yun, C-B., Kim, J-M. and Hyun, C-H., 'Axisymmetric elastodynamic infinite elements for multi-layered half-space,' Int. J. Num. Meth. Eng., Vol.38, 1995, pp. 3723-3743 https://doi.org/10.1002/nme.1620382202
  13. Davis, P.J. and Rabinowitz, P., Methods of Numerical Integration, Second Edition, Academic Press, Inc., 1984