Abstract
This paper considers small amplitude vibrations superimposed upon large planar deformations of an infinite wedge composed of a neo-Hookean elastic material. It is shown herein that even though the static deformation of the entire wedge and the vibrations of the wedge faces are planar, out-of-plane vibrational modes must necessarily be excited in the wedge interior even to first order in an asymptotic expansion of the motion with small parameter being the amplitude of the vibration applied to the wedge faces. In addition, it is demonstrated that this result is fundamentally due to the non-linearity of the problem by demonstrating that the corresponding problem for an incompressible, isotropic, homogeneous linear elastic wedge does not exhibit the same behavior.
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 callDisclaimer: 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.
