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On Null-Lagrangian Energy and Plate Paradoxes

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Analysis of Shells, Plates, and Beams

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 134))

Abstract

At variance, but not in contrast, with the accepted view that the source of plate paradoxes is located in the way the boundary conditions are imposed, it is argued that paradoxes, not only in the case of plate-like bodies, may be caused by the way the null-lagrangian contribution to stored energy is evaluated.

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Acknowledgements

Part of the above summarized results was obtained years ago in collaboration with Professor Antonino Favata and remained unpublished. I gratefully acknowledge his kind permission to report on them here.

This paper is dedicated to George Jaiani in the occasion of his 75th birthday.

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Correspondence to Paolo Podio-Guidugli .

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Podio-Guidugli, P. (2020). On Null-Lagrangian Energy and Plate Paradoxes. In: Altenbach, H., Chinchaladze, N., Kienzler, R., Müller, W. (eds) Analysis of Shells, Plates, and Beams. Advanced Structured Materials, vol 134. Springer, Cham. https://doi.org/10.1007/978-3-030-47491-1_19

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  • DOI: https://doi.org/10.1007/978-3-030-47491-1_19

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  • Publisher Name: Springer, Cham

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