대한기계학회논문집A (Transactions of the Korean Society of Mechanical Engineers A)

  • 제34권11호
  • /
  • Pages.1587-1592
  • /
  • 2010
  • /
  • 1226-4873(pISSN)
  • /
  • 2288-5226(eISSN)
대한기계학회 (The Korean Society of Mechanical Engineers)
권호 표지
DOI QR코드

DOI QR Code

복합하중을 받는 샌드위치 시편의 응력분포에 미치는 시편 형상의 영향

Effects of Specimen Geometry on Stress Distribution in Sandwich Specimen Under Combined Loads

  • 박수경 (울산대학교 기계자동차공학부) ;
  • 홍성태 (울산대학교 기계자동차공학부)
  • Park, Su-Kyeong (School of Mechanical and Automotive Engineering, Univ. of Ulsan) ;
  • Hong, Sung-Tae (School of Mechanical and Automotive Engineering, Univ. of Ulsan)
  • 투고 : 2010.02.23
  • 심사 : 2010.08.17
  • 발행 : 2010.11.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

복합하중 하에서의 샌드위치 시편내의 응력분포에 시편의 형상과 하중조건이 미치는 영향을 수치해석을 통하여 고찰하였다. 상용 유한요소해석 프로그램인 NASTRAN 을 사용하여 세 종류의 형상계수를 가지는 시편들에 대하여 평면변형률, 2 차원 해석을 수행하였으며, 각각의 시편에 대하여 각각 다른 복합변위각을 가지는 네 종류의 복합변위를 적용하였다. 수치해석의 결과는 복합변위각이, 즉 전단변위의 수직변위에 대한 상대적인 크기가, 응력 불균일분포영역의 크기에 미치는 영향이 전단응력과 폰 미세스(von Mises)응력의 경우에만 나타나고 수직응력의 경우에는 나타나지 않음을 보여준다. 또한 복합변위각이 증가함에 따라 전단응력의 불균일분포영역의 크기는 감소함에 비해서 폰 미세스 응력의 불균일분포영역의 크기는 증가한다. 추가로, 형상계수가 증가함에 따라, 즉, 시편의 길이의 높이에 대한 상대적 크기가 커질수록, 복합변위 하에서의 응력 불균일분포영역의 크기는 현격하게 감소한다.

The effects of specimen geometry and loading conditions on the stress distribution in a sandwich specimen under combined loads are investigated by elastic finite element analysis. A commercial software NASTRAN is used in plain-strain two-dimensional finite element analysis of sandwich specimens; the analysis was performed for three different specimen shape factors and four different combined displacement conditions. The results of computational analysis suggest that the effect of the combined displacement angle, which is defined as the ratio of the shear displacement to the normal displacement, on the size of the non-homogeneous stress distribution is observed only in the case of the shear stress and von Mises stress. Also as the combined displacement angle increases, the size of the nonhomogeneous stress distribution decreases in the case of the shear stress and increases in the case of the von Mises stress. In addition, as the specimen shape factor, which is defined as the ratio of the specimen length to the height, increases, the size of the non-homogeneous stress distribution under combined displacement conditions decreases significantly.

키워드

참고문헌

  1. Shin, K. B., Lee, J. Y., Lee, S. J., 2007, “A Study on Low-Velocity Impact Characterization of Various Sandwich Panels for the Korean Low Floor Bus Application,” Transactions of the KSME (A), Vol. 31, No. 4, pp. 506-516.
  2. Hong, S. T., Pan, J., Tyan, T. and Prasad, P., 2006, “Quasi-Static Crush Behavior of Aluminum Honeycombs Specimens Under Compression Dominant Combined Loads,” International Journal of Plasticity, Vol. 22, pp. 73-109. https://doi.org/10.1016/j.ijplas.2005.02.002
  3. Arcan, M., Hashin, Z. and Voloshin, A., 1978, “A Method to Produce Uniform Plane-Stress States with Applications to Fiber-Reinforced Materials.” Experimental Mechanics, Vol. 18, pp. 141-146. https://doi.org/10.1007/BF02324146
  4. Papka, S. D. and Kyriakides, S., 1999, “Biaxial Crushing of Honeycombs-Part I: Experiments,” Int. J Solids Struct., Vol. 36, pp. 4367-4396. https://doi.org/10.1016/S0020-7683(98)00224-8
  5. Papka, S. D. and Kyriakides, S., 1999, “In-Plane Biaxial Crushing of Honeycombs-Part II: Analysis,” Int. J. Solids Struct., Vol. 36, pp. 4397-4423. https://doi.org/10.1016/S0020-7683(98)00225-X
  6. Gioux, G., McCormack, T. M. and Gibson, L. J., 2000, “Failure of Aluminum Foams Under Multiaxial Loads,” Int. J. Mech. Sci., Vol. 42, pp. 1097–1117.
  7. Deshpande, V. S. and Fleck, N. A., 2001, “Multi-Axial Yield Behaviour of Polymer Foams,” Acta Mater., Vol. 49, pp. 1859-1866. https://doi.org/10.1016/S1359-6454(01)00058-1
  8. Chen, C. and Fleck, N. A., 2001, “Size Effects in the Constrained Deformation of Metallic Foams,” J. Mech. Phys. Solids, Vol. 50, pp. 955-977.
  9. Gdoutos, E. E., Daniel, I. M. and Wang, K.-A., 2002, “Failure of Cellular Foams Under Multiaxial Loading,” Composites: Part A, Vol. 33, pp. 163-176. https://doi.org/10.1016/S1359-835X(01)00110-5
  10. Hong, S. T., Pan, J., Tyan, T. and Prasad, P., 2002, “Influence of Shear Loads on Crush of Honeycomb Materials,” SAE Technical Paper 2002-01-0683, Society of Automotive Engineers, Warrendale, PA.
  11. Mohr, D. and Doyoyo, M., 2002, “Analysis of the Arcan Apparatus in the Clamped Configuration,” J. Compos. Mater., Vol. 36, pp. 2583-2594. https://doi.org/10.1177/002199802761405303
  12. Doyoyo, M. and Mohr, D., 2003, “Microstructural Response of Aluminum Honeycomb to Combined Outof-Pane Loading,” Mechanics of Materials, Vol. 35, pp. 865-876. https://doi.org/10.1016/S0167-6636(02)00308-3
  13. Hong, S. T., Pan, J., Tyan, T. and Prasad, P., 2003, “Crush Strength of Aluminum 5052-H38 Honeycomb Materials Under Combined Compressive and Shear Loads,” SAE Technical Paper 2003-01-0331, Society of Automotive Engineers, Warrendale, PA, 2003.
  14. Mohr, D. and Doyoyo, M., 2003, “A New Method for the Biaxial Testing of Cellular Solids,” Experimental Mechanics,Vol. 43, pp. 173-182. https://doi.org/10.1007/BF02410498
  15. Doyoyo, M. and Wierzbicki, T., 2003, “Experimental Studies on the Yield Behavior of Ductile and Brittle Aluminum Foams,” International Journal of Plasticity, Vol. 19, pp. 1195-1214. https://doi.org/10.1016/S0749-6419(02)00017-7
  16. Mohr, D. and Doyoyo, M., 2004, “Experimental Investigation on the Plasticity of Hexagonal Aluminum Honeycomb Under Multiaxial Loading,” J. Appl. Mech., Vol. 71, pp. 375-385. https://doi.org/10.1115/1.1683715
  17. Hong, S. T., Pan, J., Tyan, T. and Prasad, P., 2006, “Quasi-Static Crush Behavior of Aluminum Honeycomb Specimens Under Non-Proportional Compression-Dominant Combined Loads,” International Journal of Plasticity, Vol. 22, pp. 1062-1088. https://doi.org/10.1016/j.ijplas.2005.07.003
  18. Hong, S. T., Pan, J., Tyan, T. and Prasad, P., 2008, “Dynamic Crush Behaviors of Aluminum Honeycomb Specimens Under Compression Dominant Inclined Loads,” International Journal of Plasticity, Vol. 24, pp. 89-117. https://doi.org/10.1016/j.ijplas.2007.02.003
  19. O’Connor, D. J., 1989, ”A Comparison of Test Methods for Shear Properties of the Cores of Sandwich Constructions,” Journal of Testing and Evaluation, Vol. 17, pp. 214-246.
  20. Hong, S. T., Pan, J., Tyan, T. and Prasad, P., 2007, “A Comparision of Two Crush Test Methods for Honeycombs Under Compression and Shear,” Juornal of Testing and Evaluation, Vol. 36, pp. 1-7
  21. ASTM C 273-00, 2000. Standard test method for shear properties of sandwich core materials. ASTM, Philadelphia, PA.