3 edition of Resistance to rolling in the adhesive contact of two elastic spheres found in the catalog.
Resistance to rolling in the adhesive contact of two elastic spheres
by National Aeronautics and Space Administration, National Technical Information Service, distributor in [Washington, DC, Springfield, Va
Written in English
|Statement||by C. Cominik and A.G.G.M. Tilens.|
|Series||NASA/TM -- 207254., [NASA technical memorandum] -- 207254.|
|Contributions||Tielens, A. G. G. M., United States. National Aeronautics and Space Administration.|
|The Physical Object|
Steady rolling contact and resistance of a cylinder on a viscoelastic foundation by an integral equation algorithm by Pallavi Padyala A thesis submitted to the graduate faculty in partial fulfillment of the requirements for the degree of MASTER OF SCIENCE Major: Aerospace Engineering Program of Study Committee: Thomas J. Rudolphi, Major Professor. For spheres with incremental rotations,!~ 1 and!~ 2 respectively, ~ =!~ 2!~ 1 and: ~ r= ~ (~:~n)~n (4) Note that Equation (3) de ning the contact resistance to rolling is similar to Equation (2) representing the sliding resistance due to dry friction. Therefore, con-tact resistance to rolling can be interpreted as a rolling friction. To.
Vol. 30, Adhesive Contact During the Oblique Impact of Elastic Spheres distribution will be equal and opposite. The term displacement will hereafter always be taken to denote the combined (i.e. relative) displacement of the two surfaces. 2. The NormalContact Problem. Adhesive (e.g. van der Waals) forces were not generally taken into account in contact mechanics until , when Johnson, Kendall and Roberts (JKR) generalized Hertz’ solution for an elastic sphere using an energetic argument which we now recognize to be analogous to that used in linear elastic Cited by:
Greenwood  constructed an adhesion map for the contact of elastic spheres showing valid regions for various adhesion models. It now is commonly accepted that the existing adhesion models for perfectly smooth elastic spheres can be set in the framework of two parameters Roughness Effects on Microparticle Adhesion Cited by: You push your physics book across a table. The book weighs 8 N, you push with a steady 5 N force, and the force of friction against the book is 3 N. You push the book a distance of 2 m. The amount of work you do on the book is.
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Assumption of contact forces considerably simplifies the discussion of rolling resistance. JKR showed that two elastic adhesive spheres make contact over a finite circular region, as indicated in fig. In the case of no external applied forces, the radius of this contact area is = (9_7R2_ 1/3 ao \_-], (2) where 7 is the surface energy of each surface.
(). Resistance to rolling in the adhesive contact of two elastic spheres. Philosophical Magazine A: Vol. 72, No. 3, pp. Cited by: of contact forces considerably simpli es the discussion of rolling resistance. JKR showed, that two elastic adhesive spheres make contact over a nite circular region, as is indicated in Fig.
In the case of no external forces applied, the radius of this contact area is a0 = 9ˇ R2 E 1=3; (2) where is the surface energy of each surface. Title: Resistance to rolling in the adhesive contact of two elastic spheres: Authors: Dominik, C.; Tielens, A.
Publication: Philosophical Magazine A, vol. Resistance to rolling in the adhesive contact of two elastic spheres - NASA/ADS For the stability of agglomerates of micron sized particles it is of considerable importance to study the effects of tangential forces on the contact of two particles.
Resistance to Rolling in the Adhesive Contact of Two Elastic Spheres. along with arguments based on the atomic structure of the surfaces in contact, in order to calculate the resistance to rolling in such a contact. It is shown that the contact reacts elastically to torque forces up to a critical bending angle.
irreversible rolling Author: A. Tielens and C. Dominik. A model of the rolling of a rough cylinder on an elastic half-space when there is adhesive attraction between the surfaces, due to molecular interaction, is constructed.
The contact characteristics and moment of the adhesive resistance to rolling are by: 5. Equilibrium adhesive contact To determine the rolling friction of an adhesive microsphere, a detailed knowledge is required of the contact area, and how it changes in time.
Here, we brieﬂy revisit elastic contact theory in the absence of external torques. When discussing normal forces between spheres of radii R 1 and R 2, two parameters. Adhesion of Elastic Spheres. Bradley () showed that if two rigid spheres of radii R1 and R2 are placed in contact, they will adhere with a force 2pi RDelta gamma, where R is the equivalent Author: James A Greenwood.
The problem of the elastic deformation of a contact between a sphere and a flat surface (or two spheres, respectively) has been evolved in many regards as the “classical” contact mechanical problem ever since it was first addressed by Hertz in .
Hertz’s approach, however, does. C Contact MechanicsI The theory developed by Hertz in remains the foundation for most contact problems encountered in engineering. It applies to normal contact between two elastic solids that are smooth and can be described locally with orthogonal radii of curvature such as a toroid.
adhesive elastic contact are illustrated, and the applications of the Hertz contact stress theory on optomechanical engineering are also addressed.
Introduction Theoretically, the contact area of two spheres is a point, and it is a line for two parallel cylinders. Abstract Equilibrium conditions of a rigid cylinder in contact with the flat and smooth surface of a natural rubber sample are studied Adherence and Rolling Kinetics of a Rigid Cylinder in Contact with a Natural Rubber Surface Resistance to rolling in the adhesive contact of two elastic spheres.
Dominik et al. Philosophical Magazine by: Dominik C, Tielens A G G M. Resistance to rolling in the adhesive contact of 2 elastic spheres. Philos Mag A 72 (3): – () CrossRef Google Scholar Cited by: 1. such as cylinders, spheres and cones, rolling or sliding on a visco-elastic plane, are addressed quite extensively in the scientiﬁc liter-ature, both experimentally and from a modeling perspective, in two and three dimensions, and at different scales, such as in the works of Bueche and Flom (), Chertok and Putignano ().
Role of Surface Tension in Adhesive Contact between a Rigid Sphere and a Soft Elastic Substrate Chung-Yuen Hui1*,Tianshu Liu1, Thomas Salez2, Elie Raphael3, Anand Jagota4 1Field of. Get this from a library.
Resistance to rolling in the adhesive contact of two elastic spheres. [A G G M Tielens; United States. National Aeronautics and Space Administration.;].
The adhesive contact between an elastic sphere and a rigid half-space is investigated using boundary element method. Lennard-Jones potential is used for the surface traction. In the past, the simulation for the adhesive contact between spheres usually used paraboloid approximation for sphere.
In this paper, exact sphere is investigated. From by: 2. To determine the rolling friction of an adhesive microsphere, a detailed knowledge is required of the contact area, and how it changes in time. Here, we briefly revisit elastic contact theory in the absence of external torques.
When discussing normal forces between spheres of radii R 1 and R 2, twoCited by: Tortuosity Triggers Platelet Activation and Thrombus Formation in Microvessels Chesnutt, J. W., and Han, H. (Decem ). "Tortuosity Triggers Platelet Activation and Thrombus Formation in Microvessels." ASME.
Resistance to Rolling in the Adhesive Contact of 2 Elastic Spheres,”Cited by:. Contact mechanics is the study of the deformation of solids that touch each other at one or more points.
A central distinction in contact mechanics is between stresses acting perpendicular to the contacting bodies' surfaces (known as the normal direction) and frictional stresses acting tangentially between the surfaces. This page focuses mainly on the normal direction, i.e.
on frictionless.Adhesion of elastic spheres; Adhesion of spherical particles; Adhesive contact; Adhesive contact of elastic bodies Definition In H. Hertz published his famous paper, Uber die beruhrung feste elastischer Korper (“On the contact of elastic bodies”) J.
reine und angewandte mathematiik, 92. using continuum mechanics approaches. The models for elastic (Hertz, Huber), elastic-adhesive (Derjaguin, Johnson, Maugis, Greenwood), viscoelastic (Yang), plastic-adhesive (Krupp, Mol-erus, Johnson, Maugis & Pollock) contact displacement response of a single, normal loaded, iso-tropic, smooth contact of two spheres are Size: 4MB.