Cosserat Elasticity of Helically Wound Cylinders

• Published in: Journal of elasticity Vol. 155; no. 1-5; pp. 205 - 220
• Main Authors: McAvoy, R. C., Steigmann, D. J.
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.07.2024; Springer Nature B.V
• Subjects: Biomechanics; Classical and Continuum Physics; Classical Mechanics; Continuous fiber composites; Deformation analysis; Deformation effects; Elastic deformation; Elasticity; Engineering; Helices; Kinematics; Materials Science; Mathematical Applications in the Physical Sciences; Theoretical and Applied Mechanics; Cosserat elasticity; 74A60; Fiber-reinforced solids; 74A05; Helically wound cylinder; 74B20; 74A30

We present a model of the equilibrium response of a pressurized circular cylindrical elastic tube, reinforced by two families of continuously distributed spatial rods arranged as right- and left-handed helices. The framework underlying our analysis is a modified version of Cosserat elasticity in whi...