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8 - Long-Wave Theories, 2: Shells, Plates and Sheets

Published online by Cambridge University Press:  20 September 2018

Neil M. Ribe
Neil M. Ribe
Affiliation:
Centre National de la Recherche Scientifique (CNRS), Paris
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Summary

Chapter 8 introduces the theories of thin viscous sheets and elastic shells. These objects differ from the thin layers of Chapter 7 in being freely deformable and capable of large changes of shape. The theory of thin viscous sheets with arbitrary curvature is first developed in general nonorthogonal coordinates, after which the theory of elastic shells in lines-of-curvature coordinates is presented and several geodynamical applications discussed. The chapter closes with a discussion of immersed viscous sheets with application to subduction.
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Theoretical Mantle Dynamics , pp. 147 - 174
Publisher: Cambridge University Press
Print publication year: 2018

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