By Valentin L. Popov
This application-oriented booklet introduces the institutions among touch mechanics and friction and with it deals a deeper knowing of tribology. It offers with the linked phenomena of touch, adhesion, capillary forces, friction, lubrication, and put on from one constant standpoint. the writer is going into (1) tools of tough estimation of tribological amounts, (2) equipment for analytical calculations which try to reduce the mandatory complexity, (3) the crossover into numerical simulation tools. With those tools the writer conveys a constant view of tribological strategies in a number of scales of value (from nanotribology to earthquake research).
Also, procedure dynamic facets of tribological platforms, comparable to squeal and its suppression in addition to different varieties of instabilities and spatial styles are investigated.
This booklet includes difficulties and labored suggestions for person chapters within which the reader can follow the idea to sensible occasions and deepen the knowledge of the material.
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Extra resources for Contact Mechanics and Friction: Physical Principles and Applications
Q q Abb. 2 Drop of liquid on a solid surface. In the boundary line of the droplet, three interfaces meet each other (Fig. 3 a). In every interface, a corresponding surface tension acts. 1) is valid, in which γ sv is the relative surface energy of the interface between the solid body and the vapor, γ sl is the relative surface energy between the solid body and the liquid, and γ lv is the relative surface energy between the liquid and the vapor. The angle θ can assume any value between 0 and π depending on the relationships of the three relevant surface energies.
6). Due to the adhesive forces, the block and the plate adhere to one another and a force must be applied in order to separate the block from the plate. Assume that we try to separate the two by applying a tensile stress σ to the free end of the block. Due to this stress, the block is stretched a length d. The density of elastic potential energy of a stretched material is Eε 2 / 2 = σ 2 / 2 E . The total potential energy is obtained by multiplying the ener- 32 3 Qualitative Treatment of Adhesive Contacts gy density by the volume of the block: U el = σ2 2E l0 A , where A is the cross- sectional area of the block.
The coefficient between the force F and the displacement d is called the stiffness of the contact: where E * = c = 2E*a . ). 18 2 Qualitative Treatment of Contact Problems – Normal Contact without Adhesion (2) Contact between a rigid sphere and an elastic half-space Now, we will consider the contact between a rigid sphere with the radius R and an elastic half-space5. In this case, we also limit ourselves this time to a qualitative estimation. A rigorous treatment can be found in chapter 5. If there were no elastic interactions between the sphere and the surface, we would have a penetration depth d , a contact radius a ≈ 2 Rd , and a contact area A = π a 2 ≈ 2π Rd .
Contact Mechanics and Friction: Physical Principles and Applications by Valentin L. Popov