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Optimizing formulation of hybrid model for thin and moderately thick plates

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Abstract

A 20 — DOF hybrid stress element based upon Mindlin plate theory is developed using the optimization design method for thin and moderately thick plates. Numerical tests consist of the convergency and performance to the plates with arbitrary thickness and shape and of the ultimate thin plate problems.

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References

  1. Pian, T. H. H. and D. P. Chen, Alternative ways for formulation of hybrid stress etements,Int. J. Num. Meth. Eng.,18 (1982), 1679–1684.

    Article  Google Scholar 

  2. Pian, T. H. H., D. P. Chen and David Kang, A new formulation of hybrid/mixed finite element,Computers and Structures,16 (1983), 81–87.

    Article  Google Scholar 

  3. Pian, T. H. H. and K. Sumihara, Rational approach for assumed stress finite elements,Int. J. Num. Meth. Eng.,20 (1984). 1685–1695.

    Article  Google Scholar 

  4. Wu Chang-chun, Di Sheng-lin and Huang Mao-kuang, Optimization of hybrid elements.Kexue Tongbao,32, 18 (1987), 1236–1239.

    Google Scholar 

  5. Wu Chang-chun, Di Sheng-lin and T. H. H. Pian, Optimizing formulation of axisymmetric hybrid stress elements,Acta Aeronautica et Astronautica Sinica,8, 9 (1987), A439–448. (in Chinese)

    Google Scholar 

  6. Hu Hai-chang,Variational Principle of Elastics and Its Application. Science Press (1981). (in Chinese)

  7. Wu Chang-chun, Some problems of a plate bending hybrid model with shear effect.Int. J. Num. Meth. Eng.,18 (1982), 755–764.

    Article  Google Scholar 

  8. Zienkiewicz, O. C., et al., Reduced integration technique in general analysis of plates and shells,Int. J. Num. Meth. Eng.,3 (1971), 575–586.

    Article  Google Scholar 

  9. Crisfield, M. A., A quadratic Mindlin element using shear constraints.Computers and Structures.18 (1984), 833–852.

    Article  Google Scholar 

  10. Spilker, R. L., et al., The hybrid stress model for thin plates,Int. J. Num. Meth. Eng.,15 (1980), 1239–1260.

    Article  Google Scholar 

  11. Pian, T. H. H. and Wu Chang-chun, Recent advances in hybrid stress finite element.Int. J. Num. Meth. Eng.,26 (1988), 2331–2343.

    Article  Google Scholar 

  12. Wu Chang-chun, The incompatible theory and multivariable method of discrete system, optimizing theory and its practice for hybrid elements, Dectoral Dissertation, University of Science and Technology of China (1987,5). (in Chinese)

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Communicated by Chen Da-peng

Projects Supported by the National Natural Science Foundation of China.

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Sheng-lin, D., Chang-chun, W. & Qi-gen, S. Optimizing formulation of hybrid model for thin and moderately thick plates. Appl Math Mech 11, 149–157 (1990). https://doi.org/10.1007/BF02014539

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  • DOI: https://doi.org/10.1007/BF02014539

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