Structural Engineering and Mechanics

  • 제7권5호
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  • Pages.513-525
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  • 1999
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Plastic limit analysis of a clamped circular plate with unified yield criterion

  • Ma, Guowei (School of Civil and Structural Engineering, Nanyang Technological University) ;
  • Hao, Hong (School of Civil and Structural Engineering, Nanyang Technological University) ;
  • Iwasaki, Shoji (Department of Civil and Environmental Engineering, Iwate University)
  • 발행 : 1999.05.25
⟨ 이전 논문 다음 논문 ⟩

초록

This paper presents exact close form solutions of plastic limit loads of a clamped circular plate under uniformly distributed load with different loading radii. A unified yield criterion, which includes a family of piecewise linear yield criteria and the commonly adopted yield criteria such as the Tresca criterion and the maximum principal deviatoric stress criterion or the twin shear stress criterion that are its special cases, and the Mises criterion can be approximated by it, is employed in the analysis. The plastic limit loads, moment fields and velocity fields of the clamped circular plate are calculated based on the unified yield criterion. The influences of the yield criteria, the edge effects and the loading radius on the plastic limits of the clamped circular plate are investigated. Analytical results are calculated and compared. The exact close form solutions presented in this paper provide efficient approaches for obtaining plastic limit loads and the corresponding moments and velocities of the clamped circular plates. The previously derived solutions based on the Tresca and the Mises criteria are its special cases.

키워드

참고문헌

  1. Gamer, V. (1983),"Tresca's yield condition and the rotating disk" , J. Appl. Mech., 50, 676-678. https://doi.org/10.1115/1.3167110
  2. Ghorashi, M. (1994), "Limit analysis of circular plates subjected to arbitrary rotational symmetric loading" , Int. J. Mech. Sci., 36(2), 87-94. https://doi.org/10.1016/0020-7403(94)90077-9
  3. Guven, V. (1992), "Elasto-plastic stresses in a rotating annular disk of variable thickness and variable density", Int. J. Mech. Sci., 34(2), 133-138. https://doi.org/10.1016/0020-7403(92)90078-U
  4. Hill, R. (1950), The Mathematical Theory of Plasticity. Clarendon Press, Oxford.
  5. Hodge, P.G. (1963), Limit Analysis of Rotationally Symmetric Plates and Shells. Prentice-Hall, Inc.
  6. Hopkins, H.G. and Prager, W. (1953), "The load carrying capacities of circular plates", J. Mech. Phys. Solids, 2, 1-13 https://doi.org/10.1016/0022-5096(53)90022-2
  7. Hopkins, H.G. and Wang, A.J. (1954), "Load carrying capacities for circular plates of perfectly-plastic material with arbitrary yield condition" , J. Mech. Phys. Solids, 3, 117-129.
  8. Ma, G.W., Yu, M.H., Iwasaki, S. and Miyamoto, Y. (1995), "Unified plastic limit solution to circular plate under portion uniform load" , J. Structural Engineering, JSCE, 41A, 385-392.
  9. Ma, G.W., Yu, M.H., Iwasaki, S. and Miyamoto, Y. (1995), "Unified clastoplastic solution to rotating disc and cylinder" , J. Structural Engineering., JSCE, 41A, 79-85.
  10. Yan Zongda, Bu Xiaoming (1996), "An effective characteristic method for plastic plane stress problems" , Journal of Engineering Mechanics, ASCE, 122(6), 502-506. https://doi.org/10.1061/(ASCE)0733-9399(1996)122:6(502)
  11. Yu Maohong (1983), "Twin shear stress yield criterion", Int. J. Mech. Sci., 25(1), 71-74. https://doi.org/10.1016/0020-7403(83)90088-7
  12. Yu Maohong (1992), New System of Strength Theory, Xian Jiaotong University Press, Xian, China (In Chinese).
  13. Yu Maohong, He Linan (1991), "A new model and theory on yield and failure of materials under complex stress state" , Mechanical Behavior of Materials-6, Pergamon Press, 3, 841-846.
  14. Zaid, M. (1958), "On the carrying capacity of plates of arbitrary shape and variable fixity under a concentrated load" , Journal of Applied Mechanics, ASME, 25, 598-602.

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  3. Advances in strength theories for materials under complex stress state in the 20th Century vol.55, pp.3, 2002, https://doi.org/10.1115/1.1472455
  4. Determination of the yield locus using a Kelvin probing method vol.37, pp.6, 2004, https://doi.org/10.1088/0022-3727/37/6/022
  5. Penetration analysis for geo-material based on unified strength criterion vol.35, pp.10, 2008, https://doi.org/10.1016/j.ijimpeng.2008.01.003
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  7. The Triple-Shear Unified Yield Criterion and its Applications vol.94-96, pp.1662-7482, 2011, https://doi.org/10.4028/www.scientific.net/AMM.94-96.1129