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2022 | OriginalPaper | Chapter

Necessary Conditions for Energy Minimizers in a Cosserat Model of Fiber-Reinforced Elastic Solids

Authors : Milad Shirani, David J. Steigmann

Published in: Recent Approaches in the Theory of Plates and Plate-Like Structures

Publisher: Springer International Publishing

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Pointwise necessary conditions for energy minimizers are derived in the context of a Cosserat model of fiber-reinforced elastic solids in which the Cosserat rotation field accounts for the kinematics of the embedded fibers, modelled as spatial Kirchho_ rods. The analysis requires careful consideration of constraints associated with the fact that fibers are convected by the continuum deformation field as material curves.

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previous chapter Conceptual Approaches to Shells. Advances and Perspectives
next chapter Vibration Control of a Non-homogeneous Circular Thin Plate
Metadata
Title
Necessary Conditions for Energy Minimizers in a Cosserat Model of Fiber-Reinforced Elastic Solids
Authors
Milad Shirani
David J. Steigmann
Copyright Year
2022
Book
Recent Approaches in the Theory of Plates and Plate-Like Structures

Print ISBN: 978-3-030-87184-0

Electronic ISBN: 978-3-030-87185-7

Copyright Year: 2022

DOI
https://doi.org/10.1007/978-3-030-87185-7_19