Theory of Degenerated Curved Shell and Locking in Shell Finite Elements

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Numerical Techniques for Engineering Analysis and Design
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Summary

In this paper, Mindlin plate theory is extended to cater for curved shell structures. It can be considered as Mindlin type shell theory. From this theory, the C(0) continunity formulation of shell elements could be derived directly. The shear and membrane locking behaviour in degenerated shell elements is investigated and may be avoided by the assumed strain approach.

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References

  1. Huang, H.C. and Hinton, E., ‘A nine node Lagrangian Mindlin plate element with enhanced shear interpolation’, Eng. Comput., 1 (1984), 369–379.

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  2. Huang, H.C. and Hinton, E., ‘A new nine node degenerated shell element with enhanced membrane and shear interpolation’ Int. J. Num. Meth. Engng., 22 (1986), 73–92.

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  3. Huang, H.C., ‘Defect-free shell elements’, Ph.D. thesis, University College of Swansea, C/Ph/89/86

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  4. Huang, H.C., ‘Implementation of assumed strain degenerated shell elements’, Comput. and Struct., 25 (1987), 147–155.

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  5. Belytschko, Stolarski, Liu, Carpenter and Ong, ‘Stress projection for membrane and shear locking in shell finite elements’, Comp. Meth. Appl. Mech. Engng. 51 (1985), 221–258

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  6. Huang, H.C., ‘Membrane locking and assumed strain shell elements’, to appear in Computers and Structures

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© 1987 Martinus Nijhoff Publishers, Dordrecht

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Huang, HC. (1987). Theory of Degenerated Curved Shell and Locking in Shell Finite Elements. In: Pande, G.N., Middleton, J. (eds) Numerical Techniques for Engineering Analysis and Design. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3653-9_13

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  • DOI: https://doi.org/10.1007/978-94-009-3653-9_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8134-4

  • Online ISBN: 978-94-009-3653-9

  • eBook Packages: Springer Book Archive

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