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A Study on Plate Bending Analysis Using Boundary Element Method

  • Son, Jae-hyeon (Department of Naval Architecture and Ocean Engineering, Inha University) ;
  • Kim, Yooil (Department of Naval Architecture and Ocean Engineering, Inha University)
  • Received : 2022.06.22
  • Accepted : 2022.07.18
  • Published : 2022.08.31

Abstract

This study presents a method for level ice-structure interaction analysis to estimate the fatigue damage of arctic structures by applying plate theory to the behavior of level ice. The boundary element method (BEM), which incurs a lower computational cost than the finite element method (FEM), was introduced to solve the plate bending problem. The BEM formulation was performed by applying the BEM to plate theory. Finally, to check the validity of the proposed method, the BEM results and FEM results obtained using the ABAQUS commercial software were compared. The response results of the BEM analysis agreed well with those of the FEM analysis. Based on the results of the analysis, the BEM approach is considered to be very powerful in level ice-structure interaction analysis for estimating level ice-induced fatigue damage. Further work is being conducted to perform level ice fracture analysis based on the stress field calculated using the boundary element method.

Keywords

Acknowledgement

This work was conducted in 2022 with the support of the Korea Industrial Technology Promotion Agency with funding from the government (Ministry of Trade, Industry and Energy) (P0001968. Industrial Innovation Talent Growth Support Project 2022).

References

  1. Armenakas, A.E., & Katsikadelis, J.T. (1989). A New Boundary Equation Solution to the Plate Problem. Journal of Applied Mechanics, 56(2), 364-374. https://doi.org/10.1115/1.3176091
  2. Bezine, G. (1978). Boundary Integral Formulation for Plate Flexure with Arbitrary Boundary Conditions. Mechanics Research Communications, 5(4), 197-206. https://doi.org/10.1016/0093-6413(78)90033-2
  3. Jeon, S., & Kim, Y. (2021). Numerical Simulation of Level Ice-structure Interaction Using Damage-based Erosion Model. Ocean Engineering, 220, 108485. https://doi.org/10.1016/j.oceaneng.2020.108485
  4. Katsikadelis, J.T. (2002). Boundary Element: Theory and Applications (1st ed.). Elsevier.
  5. Katsikadelis, J.T. (2014). The Boundary Element Method for Plate Analysis (1st ed.). Elsevier.
  6. Katsikadelis, J.T., Massalas, C.V., & Tzivanidis, G.J. (1977). An Integral Equation Solution of the Plane Problem of the Theory of Elasticity. Mechanics Research Communications, 4(3), 199-208. https://doi.org/10.1016/0093-6413(77)90083-0
  7. Lubbad, R., & Loset, S. (2011). A Numerical Model for Real-time Simulation of Ship-ice Interaction. Cold Regions Science and Technology, 65(2), 111-127. https://doi.org/10.1016/j.coldregions.2010.09.004
  8. Lubbad, R., Loset, S., Lu, W., Tsarau, A., & van den Berg, M. (2018), Simulator for Arctic Marine Structures (SAMS). Proceedings of the ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering, Madrid, Spain, 51296, V008T07A020. https://doi.org/10.1115/OMAE2018-78592.
  9. Raza, N., van der Berg, M., Lu, W., & Lubbad, R. (2019). Analysis of Oden Icebreaker Performance in Level Ice Using Simulator for Arctic Marine Structures (SAMS). Proceedings of the 25th International Conference on Port and Ocean Engineering under Arctic Conditions, Delft, The Netherlands.
  10. Sillard, R. (1974). Theory and Analysis of Plates: Classical and Numerical Methods(1st ed.). Prentice Hall, New Jersey.
  11. Son, J.H., & Kim, Y. (2022). Basic Study on the Boundary Element Method for Ice-structure Interaction Analysis. Proceedings of KAOST 2022, Jeju, Korea. 547-551.