Convexity conditions for fiber-reinforced elastic shells

Convexity conditions of the Legendre–Hadamard and quasiconvexity type are derived in the context of a theory for fiber-reinforced shells based on Cosserat elasticity. These furnish two-dimensional shell-theoretic versions of their three-dimensional counterparts.

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Publication Details

Journal
Mathematics and Mechanics of Solids
Published
2024-08-20
DOI
https://doi.org/10.1177/10812865241261485
Citations
6
Primary Topic
Composite Structure Analysis and Optimization
Type
article
Field-Weighted Citation Impact
1.62
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article

Convexity conditions for fiber-reinforced elastic shells

Milad Shirani, David J. Steigmann, Mircea Bîrsan
6 citations
Mathematics and Mechanics of Solids
Composite Structure Analysis and Optimization
1.62
article

Convexity conditions for fiber-reinforced elastic shells

Milad Shirani, David J. Steigmann, Mircea Bîrsan
article en
6 citations

Abstract

Convexity conditions of the Legendre–Hadamard and quasiconvexity type are derived in the context of a theory for fiber-reinforced shells based on Cosserat elasticity. These furnish two-dimensional shell-theoretic versions of their three-dimensional counterparts.

Mathematics and Mechanics of SolidsVol. 30(11)
Yale University (US), Romanian Academy (RO), University of California, Berkeley (US)
Sustainable cities and communities
Openalex Percentile: Top 19%
Composite Structure Analysis and Optimization
1.62
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