Fiber-Reinforced Elastic Shells: A Direct Cosserat Approach

We formulate a direct theory for fiber-reinforced elastic shells. Our framework utilizes the Cosserat theory of elasticity to model both the shell-like nature of the structure and the embedded fiber response. To this end, we merge the multiple-director theory of Cosserat continua with the additional...

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Bibliographic Details
Published inJournal of elasticity Vol. 156; no. 2; pp. 333 - 354
Main Author McAvoy, Ryan C.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.09.2024
Springer Nature B.V
Subjects
Biomechanics
Classical and Continuum Physics
Classical Mechanics
Elastic shells
Engineering
Equilibrium equations
Fiber reinforced materials
Materials Science
Mathematical Applications in the Physical Sciences
Theoretical and Applied Mechanics
Cosserat elasticity
74A60
Fiber-reinforced solids
Cosserat shells
74A05
74B20
74A30
74K25
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ISSN0374-3535
1573-2681
DOI10.1007/s10659-024-10052-1

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Summary:We formulate a direct theory for fiber-reinforced elastic shells. Our framework utilizes the Cosserat theory of elasticity to model both the shell-like nature of the structure and the embedded fiber response. To this end, we merge the multiple-director theory of Cosserat continua with the additional constraint that the fibers convect as material curves on the surface. The virtual power statement furnishes the equilibrium equations. We also present a coordinate-free formulation and close with a discussion of material symmetry.
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ISSN:0374-3535
1573-2681
DOI:10.1007/s10659-024-10052-1