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Thermal deflection analysis of the solidified shell in continuous casting of slab

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Abstract

The thermal deformation problem in the continuous casting of a slab subjected to thermal loading because of the temperature gradient along the solidified shell thickness is investigated. On the basis of the reciprocal theorem of work or Betti-Maxwell’s reciprocal theorem and the superposition principle, the deflection expressions for a rectangular plate with the two opposite edges simply supported, and the other two opposite edges clamped under the action of the uniformly distributed load and nonuniform temperature field are derived respectively. The meaning of each term in the deflection expression obtained by the reciprocal theorem of work is explained. Then the practical example is given to calculate the thermal deformation and the bulging deformation of the solidified shell under three tension speeds. This research is useful for analyzing the bulging deformation in the continuous casting of a slab under the static pressure of the molten steel and the thermal loading because of the temperature gradient along the solidified shell thickness.

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References

  1. Xiong Yigang. Slab Continuous Casting. Beijing: Metallurgy Industry Publishing House, 1994 (in Chinese)

    Google Scholar 

  2. Sun Jiquan, Sheng Yiping, Zhang Xingzhong. Analysis of bulging deformation and stress in continuous cast slabs. Journal of Iron & Steel Research, 1996, 18(1): 11–15 (in Chinese)

    Google Scholar 

  3. Ha J S, Cho J R, Lee B Y, et al. Numerical analysis of secondary cooling and bulging in the continuous casting of slabs. Journal of Materials Processing Technology, 2001, 113(1–3): 257–261

    Article  Google Scholar 

  4. Wang Zhongmin, Liu Hongzhao, Yang Ladao, et al. Mathematical model of visco-elastic thin plate and analyses of bulging deformation for continuous cast slabs. Chinese Journal of Mechanical Engineering, 2001, 37(2): 66–69

    Article  Google Scholar 

  5. Fu Baolian. Applications of the reciprocal theorem to solve the equations of the deflection surface of the rectangular plates with various edge conditions. Applied Mathematics and Mechanics, 1982, 3(3): 315–325 (in Chinese)

    Google Scholar 

  6. Sun Jiquan, Sheng Yiping. A method for solving thermic bending problems of elastic plate. Journal of Yanshan University, 1991, 15(1): 64–70 (in Chinese)

    Google Scholar 

  7. Chen Dengfu, Liao Qi, Bai Chenguang, et al. The Study on the finite element calculation method of the stress state of thin slab during continuous casting in solidifying process. Acta Simulata Systematica Sinica, 2003, 15(3): 393–396

    Google Scholar 

  8. Timoshenko S, Woinowsky-krieger S. Theory of Plates and Shells. 2nd ed. McGraw-Hill Book Company Inc, 1959

  9. He Fubao, Shen Yapeng. Plate and Shell Theory. Xi’an: Xi’an Jiaotong University Publishing House, 1993 (in Chinese)

    Google Scholar 

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Correspondence to Liu Hongzhao.

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Translated from Chinese Journal of Mechanical Engineering, 2006, 42(3): 64–67 [译自: 机械工程学报]

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Liu, H., Wang, Z. Thermal deflection analysis of the solidified shell in continuous casting of slab. Front. Mech. Eng. China 2, 175–179 (2007). https://doi.org/10.1007/s11465-007-0029-3

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  • DOI: https://doi.org/10.1007/s11465-007-0029-3

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