Abstract
Abstract This work originates from an experimental program on strain distribution near the loaded surface of an airfield concrete pavement,which provided us with results that contrast with the rheological predictions of Boussinesq for a homogeneous, linear-elastic and isotropic half-space. We already reviewed and extended the original work carried out by Boussinesq in previous papers, to provide a closed form second order solution that enabled us to establish a good match between analytical and experimental findings for point-loads. In this paper, we have explained why Boussinesq’s closed form solution for a homogeneous linear-elastic and isotropic half-space subjected to a point-load is not exact, as believed until now, but approximated. Then, we have shown that our second order solution is the actual solution of Boussinesq’s problem. We have also presented the numerical analysis of second order for rectangular and elliptical contact areas, both loaded by uniform and parabolic laws of external pressure. Moreover, we have evaluated the interaction effect provided on the surface of a concrete half-space by the twin wheels of an aircraft landing gear. Extension of the solution to layered systems is also possible, for improving the knowledge of stress propagation into airfield pavements and promoting more effective design standards.
Highlights
This work originates from an experimental program on strain distribution near the loaded surface of an airfield concrete pavement, which provided us with results that contrast with the rheological predictions of Boussinesq for a homogeneous, linear-elastic and isotropic halfspace
We have explained why Boussinesq’s closed form solution for a homogeneous linear-elastic and isotropic half-space subjected to a point-load is not exact, as believed until now, but approximated
The inconsistencies between Boussinesq’s solution and our experimental findings led us to a review of the original work carried out by Boussinesq [6], in the search for a higher order closed elastic solution for the homogeneous, linear-elastic and isotropic half-space subjected to a point-load perpendicular to the surface
Summary
Abstract: This work originates from an experimental program on strain distribution near the loaded surface of an airfield concrete pavement, which provided us with results that contrast with the rheological predictions of Boussinesq for a homogeneous, linear-elastic and isotropic halfspace. The profile of the acquired strains for static load (Figure 26 of [2]) is very similar to the form of the wave propagating along the rail foregoing the wheel for static load (Figure 3 of [3]) This means that around the tire/pavement contact areas there are some vertical tensile stresses (Figure 2, [2]) that are not caused by friction forces, since they appear even when the speed is very low, that is, in quasi-static conditions. Both the dependence of the vertical stresses on concrete elastic properties and the presence of tensile stresses around the contact areas are not accounted by Boussinesq’s closed form elastic solution for a homogeneous, linear-elastic and isotropic half-space subjected to a point-
Sign-in/Register to view highlights & summary 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.
