Convexity conditions for fiber-reinforced elastic shells-Reference-Cited by-同舟云学术

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Convexity conditions for fiber-reinforced elastic shells

Published:2024-08-20 Issue: Volume: Page:
ISSN:1081-2865
Container-title:Mathematics and Mechanics of Solids
language:en
Short-container-title:Mathematics and Mechanics of Solids

Author:

Bîrsan Mircea¹^ORCID,Shirani Milad²^ORCID,Steigmann David J³^ORCID

Affiliation:

1. Faculty of Mathematics, University Duisburg-Essen, Essen, Germany; Octav Mayer Institute of Mathematics, Romanian Academy, Iaşi, Romania

2. Department of Biomedical Engineering, Yale University, New Haven, CT, USA

3. Department of Mechanical Engineering, University of California, Berkeley, CA, USA

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.

Publisher

SAGE Publications

Link

https://journals.sagepub.com/doi/pdf/10.1177/10812865241261485

Reference15 articles.

1. Thin shells reinforced by fibers with intrinsic flexural and torsional elasticity

2. Convexity and Quasiconvexity in a Cosserat Model for Fiber-Reinforced Elastic Solids

3. Theory of elastic solids reinforced with fibers resistant to extension, flexure and twist

4. Effects of Fiber Bending and Twisting Resistance on the Mechanics of Fiber-reinforced Elastomers

5. A Cosserat Model of Elastic Solids Reinforced by a Family of Curved and Twisted Fibers

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