Abstract

General solutions for axisymmetric displacements and stresses of a transversely isotropic annular cylinder of infinite length are derived by using Fourier integral transforms. These general solutions are used to solve boundary-value problems corresponding to radial and tangential tractions applied over a finite segment of the surface of a cylindrical borehole in an infinite medium. Contact problems involving a rigid cylinder with a radial misfit and a rigid cylinder subjected to an axial load are analysed by numerically solving the governing integral equations. The accuracy of present solutions is confirmed by comparison with the solutions reported by Parnes [(1993) Applied tractions on the surface of an infinite cylindrical bore. Int. J. Solids Structures19, 165–177] for radial tractions applied to a borehole in an isotropic medium. Selected numerical results for displacements and stresses are presented to portray the influence of material anisotropy, type of loading and the aspect ratio of a rigid cylinder on the elastic fields. It is found that the axial stiffness of a rigid cylinder bonded to a borehole can be used to approximate the stiffness of a rigid cylinder in an elastic half space. The relevance of present analysis to the solution of problems encountered in geomechanics and mechanics of composite materials is discussed.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.