By Valentin L. Popov
This application-oriented booklet introduces the institutions among touch mechanics and friction and with it bargains a deeper figuring out of tribology. It bargains with the linked phenomena of touch, adhesion, capillary forces, friction, lubrication, and put on from one constant point of view. the writer is going into (1) tools of tough estimation of tribological amounts, (2) tools for analytical calculations which try and reduce the mandatory complexity, (3) the crossover into numerical simulation equipment. With those equipment the writer conveys a constant view of tribological approaches in numerous scales of significance (from nanotribology to earthquake research).
Also, process dynamic elements of tribological structures, corresponding to squeal and its suppression in addition to different different types of instabilities and spatial styles are investigated.
This ebook includes difficulties and labored recommendations for person chapters within which the reader can practice the idea to sensible occasions and deepen the certainty of the material.
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Additional info for Contact Mechanics and Friction: Physical Principles and Applications
26) For normal contact, it does not matter if the contact is between an elastic sphere and a rigid plane or if it is between a rigid sphere and an elastic half-space. 6 See chapter 5. 24) results in FN = 2πσ 0 Rd . 27) In the plastic area, the force is proportional to the depth of the indentation. The average stress remains the same and is equal to the hardness of the material. (3) Contact between a rigid cylinder and an elastic half-space Next, we will investigate the contact between a rigid cylinder and an elastic halfspace (Fig.
9) If the force of gravity is neglected, then the pressure is constant everywhere inside of the droplet. Therefore, the radius of curvature must also be constant: A droplet takes the form of a sphere. On flat solid surfaces, it is always a portion of a sphere (Fig. 2). 2 We denote the surface tension of the vapor-liquid interface, which is normally simply referred to as the surface tension of the liquid, as γ l = γ lv . 10) where R1 and R2 are the principal radii of curvature. 10), the radii of curvature can also be negative.
That happens when U el < U adh , or when 5 A more exact calculation can be found in the first problem of this chapter. 34 3 Qualitative Treatment of Adhesive Contacts h2 < 4γ l . 14) If the roughness is much smaller than the critical roughness, then the surface can be considered absolutely smooth. For larger roughnesses there is only contact at a few points and the adhesive force is significantly decreased. The critical roughness is, in addition to the surface energy γ , dependent on the elastic shear modulus G .