MODELING OF DYNAMIC NETWORKS OF THIN ELASTIC PLATES

Langnese JE, Leugering G (1993)


Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 1993

Journal

Publisher: Wiley-Blackwell

Book Volume: 16

Pages Range: 379-407

Journal Issue: 6

URI: http://onlinelibrary.wiley.com/doi/10.1002/mma.1670160602/full

DOI: 10.1002/mma.1670160602

Abstract

The purpose of this paper is to derive junction conditions for networks of thin elastic plates and to analyse the dynamic equations of such networks. Junction conditions for networks of Kirchhoff plates and networks of Reissner-Mindlin plates are derived based on geometric considerations of the deformation at a junction. It is proved that the dynamic system which describes the Reissner-Mindlin network is well-posed is an appropriate energy space. It is further established that the Kirchhoff network is obtained in the limit of the Reissner-Mindlin network as the shear moduli go to infinity.

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How to cite

APA:

Langnese, J.E., & Leugering, G. (1993). MODELING OF DYNAMIC NETWORKS OF THIN ELASTIC PLATES. Mathematical Methods in the Applied Sciences, 16(6), 379-407. https://dx.doi.org/10.1002/mma.1670160602

MLA:

Langnese, John E., and Günter Leugering. "MODELING OF DYNAMIC NETWORKS OF THIN ELASTIC PLATES." Mathematical Methods in the Applied Sciences 16.6 (1993): 379-407.

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