Elastic machines: A non standard use of the axial shear of linear transversely isotropic elastic cylinders. (1st March 2020)

• Record Type: Journal Article
• Authors: Grine, Fahmi; Saccomandi, Giuseppe; Arfaoui, Makrem
• Is Part Of: International journal of solids and structures. Volume 185/186(2020)
• Page Start: 57
• Page End: 64
• Publication Date: 2020-03-01
• Subjects: Linear elasticity -- Transversely isotropic materials -- Axial shear -- Azimuthal shear -- Coupling deformation modes; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2019.08.025
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: In the framework of linear transversely isotropic elasticity, we study the deformation of a circular infinite hollow cylinder, whose inner face is fixed, while its outer surface is subject to a constant axial surface traction. In isotropic linear elasticity, the solution of this problem is just a state of anti-plane axial shear. In the case of a transversely isotropic material with a chosen arrangement of fibers, the corresponding deformation field becomes more complex and the coupling of axial anti-plane shear with an in-plane deformation may occur. Therefore, it is possible to use an axial tension field to generate, for example, an azimuthal shear deformation. This fact suggests to use anisotropy to design some elastic machines which can combine different deformation modes.