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Morphoelastic rods: Part II: Growing birods

Abstract:

The general problem of determining the shape and response of two attached growing elastic Kirchhoff rods is considered. A description of the kinematics of the individual interacting rods is introduced. Each rod has a given intrinsic shape and constitutive laws, and a map associating points on the two rods is defined. The resulting filamentary structure, a growing birod, can be seen as a new filamentary structure. This kinematic description is used to derive the general equilibrium equations f...

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Publication status:
In Press
Peer review status:
Peer reviewed

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Department:
Mathematical Institute, University of Oxford
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Author
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Department:
Mathematical Institute, University of Oxford
Role:
Author
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Department:
Mathematical Institute, University of Oxford
Role:
Author
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Grant:
Wolfson Research Merit Award to Alain Goriely
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Grant:
to Alain Goriely and Thomas Lessinnes
Funding agency for:
Project
Publisher:
Elsevier Publisher's website
Journal:
Journal of the Mechanics and Physics of Solids
Acceptance date:
2015-12-07
DOI:
ISSN:
0022-5096
Language:
English

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