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Quasiconvexity in a model of fiber-reinforced solids based on Cosserat elasticity theory

Affiliation
Department of Mechanical Engineering, University of California, Berkeley, CA, USA
Shirani, Milad;
GND
1353922707
ORCID
0000-0002-1360-4044
LSF
54461
Affiliation
Faculty of Mathematics, University Duisburg-Essen, Essen, Germany; Octav Mayer Institute of Mathematics, Romanian Academy, Iaşi, Romania
Bîrsan, Mircea;
Affiliation
Department of Mechanical Engineering, University of California, Berkeley, CA, USA
Steigmann, David J.

The quasiconvexity inequality associated with energy minimizers is derived in the context of a nonlinear Cosserat elasticity theory for fiber-reinforced elastic solids in which the intrinsic flexural and torsional elasticities of the fibers are taken into account explicitly. The derivation accounts for non-standard kinematic constraints, associated with the materiality of the embedded fibers, connecting the deformation gradient and the Cosserat rotation field.

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Date Issued:
02.01.2024
URN:
urn:nbn:de:hbz:465-20250818-130550-8
DOI:
10.1177/10812865231217640
Language:
English
Type of Resource:
Text
Keywords:
  1. Quasiconvexity
    Typ
    Schlagwort
  1. Cosserat elasticity
    Typ
    Schlagwort
  1. fiber-reinforced materials
    Typ
    Schlagwort
  1. constraints
    Typ
    Schlagwort
Subject categories of the Deutsche Nationalbibliografie:
620 Engineering & allied operations
Subject categories of the Deutsche Nationalbibliografie:
510 Mathematics
Hosting institution:
Faculty of Mathematics
funding:

Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich.

This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively.

Info on primary publication:

Shirani M, Bîrsan M, Steigmann DJ. Quasiconvexity in a model of fiber-reinforced solids based on Cosserat elasticity theory. Mathematics and Mechanics of Solids. 2025;30(2):372-380. doi:10.1177/10812865231217640

First published online January 2, 2024

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© The Author(s) 2024

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