2 edition of **Contact of elastic bodies.** found in the catalog.

Contact of elastic bodies.

Leo Joseph Close

- 253 Want to read
- 12 Currently reading

Published
**1920**
.

Written in English

**Edition Notes**

Thesis (M.A.)--The Queen"s University of Belfast, 1920.

The Physical Object | |
---|---|

Pagination | 1 v |

ID Numbers | |

Open Library | OL19421120M |

The method is iterative and convergence to the unknown shape of the contact region (complete slip) and the shape of the stick region (stick-slip) is rapid. AB - This paper concerns the elastic contact between two bodies which are pressed together by normal loads and are given a tangential relative displacement. Geometry of Smooth, Non-Conforming Surfaces in Contact. When two non-conforming solids are brought into contact they touch initially at a single point or along a line. Under the action of the slightest load they deform in the vicinity of their point of first contact so that they touch over an area which is finite though small compared with the dimensions of the two bodies.

The normal elastic contact could be greatly simplified by modeling the elastic bodies by a simple Winkler elastic foundation rather than by elastic half space. The finite element method are one of the best methods to determinations the pressure of contact Fig. 4. The variationn of contact pressure between the rolle and the rule References. Contact Dr. M. Negahban with questions and comments regarding this site: [email protected]: W Nebraska Hall University of Nebraska–Lincoln Lincoln, NE Top | Home Engineering Mechanics College of Engineering & Technolgoy University of Nebraska–Lincoln: Phone: () FAX: () E-mail: [email protected]

Three-Dimensional Elastic Bodies in Rolling Contact (Solid Mechanics and Its Applications) (Volume 2) by J.J. Kalker and a great selection of related books, art . Adhesive contact of visco-elastic bodies and defect measures arisingby vanishingviscosity1 Toma´ˇs Roub´ıˇcek2 Abstract: An adhesive unilateral contact of elastic bodies with a small viscosity in the linear Kelvin-Voigt rheology at small strains is scrutinized. The ﬂow-rule for debonding the adhesive is considered rate-independent and.

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Contact Mechanics - by K. Johnson May Micro-slip and creep. In Chapter 1 rolling was defined as a relative angular motion between two bodies in contact about an axis parallel to their common tangent plane (see Fig.

In a frame of reference which moves with the point of contact the surfaces ‘flow’ through the contact zone with tangential velocities V 1 and V by: 1. Stress conditions at the edge of contact. We have seen in Chapter 4 that, when two non-conforming elastic bodies having continuous profiles are pressed into contact, the pressure distribution between them is Contact of elastic bodies.

book determined uniquely by the profiles of the bodies within the contact by: 8. Elastic-Plastic Finite Element Analysis of Nonsteady State Partial Slip Wheel-Rail Rolling Contact J. Tribol (October, ) Contact Pressure and Residual Strain in 3D Elasto-Plastic Rolling Contact for a Circular or Elliptical Point ContactCited by: OCLC Number: Notes: Added title page.

Description: pages: illustrations ; 24 cm: Other Titles: Cylindrical elastic bodies in contact: Responsibility. This treatise is concerned with the stresses and deformation of solid bodies in contact with each other, along curved surfaces which touch initially at a point or along a line.

Examples are a railway wheel and rail, or a pair of gear wheel teeth. Contact of elastic bodies. book Johnson first reviews the development of the theory of contact stresses since the problem was originally addressed by H.

Hertz in /5(2). 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, –The bodies were assumed to have smooth curved surfaces, so that only normal.

This book is intended for mechanicians, engineering mathematicians, and, generally for theoretically inclined mechanical engineers. It has its origin in my Master's Thesis (J ), which I wrote under the supervision of Professor Dr.

Timman of the Delft TH and. DOI: /_24 Corpus ID: Compliance of elastic bodies in contact @inproceedings{MindlinComplianceOE, title={Compliance of elastic bodies in contact}, author={Raymond D.

Mindlin}, year={} }. ONTHECONTACTOFELASTICSOLIDS (JourTialfurdiereineundangewandteMatlumatilc,92,pp,) IxthetheoryofelasticitythecausesofthedeformatioDSare. The theory of contact between elastic bodies can be used to find contact areas and indentation depths for simple geometries.

There are five types of commonly used solutions, which are listed in the following part. Contact between a sphere and an elastic half-space. 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. 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.

Page - The Contact Problem of a Rigid Cylinder on an Elastic Layer," Applied Science Research, Vol. Appears in 20 books from Page - The elastic stress and the displacement on the surfaces of two rubber-clad steel cylinders between which paper is led Kalker.

The problem of contact elastic bodies even in small deformations is a nonlinear problem because of the complicating factor: the presence of the unknown surface contact.

One may find in the literature two distinct ways of numerical approach for this problem. Written by a well-known group of researchers from Moscow, this book is a study of the asymptotic approximations of the 3-D dynamical equations of elasticity in the case of thin elastic shells of an arbitrary shape.

Vibration of shells is a very useful theory in space techniques, submarine detection, and other high-tech domains. This book is intended for mechanicians, engineering mathematicians, and, generally for theoretically inclined mechanical engineers.

It has its origin in my Master's Thesis (J ), which I wrote under the supervision of Professor Dr. Timman of the Delft TH and Dr. de Pater of Netherlands Railways. I did not think that the surface of the problem had even been scratched, so I joined. Here. is the elastic deflection, is the reduced elastic modulus, are the Poisson’s ratio and Young’s modulus of the bodies, is the contact pressure.

If the pressure profile is arbitrary, this equation does not lead to the analytical solution. 1 The Rolling Contact Problem.- 2 Review.- 3 The Simplified Theory of Contact.- 4 Variational and Numerical Theory of Contact.- 5 Results.- 6 Conclusion.- Appendix A The basic equations of the linear theory of elasticity.- Appendix B Some notions of mathematical programming.- Appendix C Numerical calculation of the elastic field in a half-space Abstract.

We study a problem of wave propagation in a structure made of two tridimensional elastic bodies connected by a thin adhesive layer. We recall that, after several heuristic models, the bonding problem, which basically amounts to study how does the thin layer can be replaced by a simpler model without thickness, has been carried out in the case of equilibrium problems.

• Contact stresses and deformations satisfy the differential equations for stress and strain of homogeneous, isotropic and elastic bodies in equilibrium. All deformations occur in the elastic range.

Three-Dimensional Elastic Bodies in Rolling Contact by J. J. Kalker,available at Book Depository with free delivery worldwide.Three-Dimensional Elastic Bodies in Rolling Contact book. Read reviews from world’s largest community for readers. This book is intended for mechanicians 5/5(1).1.

Contact Mechanics – Fully Elastic Models Hertz analyzed the stresses at the contact of two elastic solids, and thereby assumed small strains within the elastic limit. The contact radius a is considered significantly smaller than the radius of curvature R, and the two contacting surfaces, as depicted in Figure 1, assumed to be non-conformal.