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On Theories of Elasto-Plastic Shells in Mixed Tensor Formulation

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Inelastic Behaviour of Plates and Shells
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Summary

In extension of a formulation of a theory for thin elastic shells using mixed-variant tensorial components an incremental theory for elasto-plastic shells is derived. In the basic variational principle the flow rule is included, and the corresponding plastic parameter leads to additional plastic resultants. With the mixed components e. g. the elastic part of the constitutive equations can be shifted to the reference surface in closed form. For the plastic part some coefficients are evaluated numerically. In addition to the global variational form the corresponding local equations (equilibrium, strain-displacement-relation, flow-rule) of a two-dimensional elastoplastic shell theory are given.

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References

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© 1986 Springer, Berlin Heidelberg

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Wunderlich, W., Springer, H. (1986). On Theories of Elasto-Plastic Shells in Mixed Tensor Formulation. In: Bevilacqua, L., Feijóo, R., Valid, R. (eds) Inelastic Behaviour of Plates and Shells. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82776-1_25

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  • DOI: https://doi.org/10.1007/978-3-642-82776-1_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82778-5

  • Online ISBN: 978-3-642-82776-1

  • eBook Packages: Springer Book Archive

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