Normal contact stiffness

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Contacting surfaces with applied normal and tangential forces Contacting surfaces.jpg
Contacting surfaces with applied normal and tangential forces

Normal contact stiffness is a physical quantity related to the generalized force displacement behavior of rough surfaces in contact with a rigid body or a second similar rough surface. [1] [2] Specifically it is the amount of force per unit displacement required to compress an elastic object in the contact region. Rough surfaces can be considered as consisting of large numbers of asperities. [3] As two solid bodies of the same material approach one another, the asperities interact, and they transition from conditions of non-contact to homogeneous bulk behaviour, with changes in the contact area. [4] The varying values of stiffness and true contact area at an interface during this transition are dependent on the conditions of applied pressure and are of importance for the study of systems involving the physical interactions of multiple bodies including granular matter, electrode contacts, and thermal contacts, where the interface-localized structures govern overall system performance by controlling the transmission of force, heat, charge carriers or matter through the interface. [5]

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In contact mechanics, the term unilateral contact, also called unilateral constraint, denotes a mechanical constraint which prevents penetration between two rigid/flexible bodies. Constraints of this kind are omnipresent in non-smooth multibody dynamics applications, such as granular flows, legged robot, vehicle dynamics, particle damping, imperfect joints, or rocket landings. In these applications, the unilateral constraints result in impacts happening, therefore requiring suitable methods to deal with such constraints.

Contact mechanics is the study of the deformation of solids that touch each other at one or more points. This can be divided into compressive and adhesive forces in the direction perpendicular to the interface, and frictional forces in the tangential direction. Frictional contact mechanics is the study of the deformation of bodies in the presence of frictional effects, whereas frictionless contact mechanics assumes the absence of such effects.

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Elasto-capillarity is the ability of capillary force to deform an elastic material. From the viewpoint of mechanics, elastocapillarity phenomena essentially involve competition between the elastic strain energy in the bulk and the energy on the surfaces/interfaces. In the modeling of these phenomena, some challenging issues are, among others, the exact characterization of energies at the micro scale, the solution of strongly nonlinear problems of structures with large deformation and moving boundary conditions, and instability of either solid structures or droplets/films.The capillary forces are generally negligible in the analysis of macroscopic structures but often play a significant role in many phenomena at small scales.

References

  1. Persson, B.N.J. (2006). "Contact mechanics for randomly rough surfaces". Surface Science Reports. 61 (4): 201–227. arXiv: cond-mat/0603807 . Bibcode:2006SurSR..61..201P. doi:10.1016/j.surfrep.2006.04.001. ISSN   0167-5729.
  2. Zhai, C.; Gan, Y.; Hanaor, D.; Proust, G.; Retraint, D. (2016). "The Role of Surface Structure in Normal Contact Stiffness". Experimental Mechanics. 56 (3): 359–368. doi:10.1007/s11340-015-0107-0. ISSN   0014-4851.
  3. Bowden, Frank Philip; Tabor, David (2008). The friction and lubrication of solids. Oxford classic texts (Repr ed.). Oxford: Clarendon Pr. ISBN   978-0-19-850777-2.
  4. Jacobs, Tevis D. B.; Martini, Ashlie (2017-11-01). "Measuring and Understanding Contact Area at the Nanoscale: A Review". Applied Mechanics Reviews. 69 (6). Bibcode:2017ApMRv..69f1101J. doi:10.1115/1.4038130. ISSN   0003-6900.
  5. Zhai, Chongpu; Hanaor, Dorian; Gan, Yixiang (2017). "Contact stiffness of multiscale surfaces by truncation analysis". International Journal of Mechanical Sciences. 131–132: 305–316. doi:10.1016/j.ijmecsci.2017.07.018.