Abstract
The formulation of a boundary value problem of an axisymmetric, rigid, frictionless indentation acting on an elastic half-space is presented. The novel feature of this formulation is associated with the treatment of surface energy effects by employing a complete Gurtin-Murdoch continuum model for surface elasticity. With use of standard Love's representation and Hankel integral transform, such boundary value problem can be reduced innto a set of dual integral equations associated with the mixed boundary conditions on the surface of the half-space. Once these dual integral equations are transformed into a Fredholm integral equation of the second kind, selected numerical procedures based upon Galerkin approximation and a collocation technique are proposed to construct its solution numerically. The complete elastic fields are to be obtained for punches of different profiles and with smooth and non-smooth contact. The insight into the influence of surface free energy and size-dependency on material properties, gained in this particular study, should indicate and shed some lights on the implications related to soft elastic solids and nanotechnology.
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.
