Physics

Contact Dynamics Between Solids and Tribo-Cyclicity
Method of the Differential Specific Forces

Nikolay Goloshchapov, PhD

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Contact Dynamics Between Solids and Tribo-Cyclicity

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This new book describes the application of the method of the differential specific forces (MDSF). By using this new method, the solutions to the problems of a dissipative viscoelastic and elastic-plastic contacts between curvilinear surfaces of two solid bodies have been found. The novelty is that the forces of viscosity and the forces of elasticity can be found by an integration of the differential specific forces acting inside an elementary volume of the contact zone. This volume shows that this method allows finding the viscoelastic forces for any theoretical or experimental dependencies between the distance of mutual approach of two curvilinear surfaces and the radiuses of the contact area. Also, the derivation of the integral equations of the viscoelastic forces have been given and the equations for the contact pressure have been obtained. The viscoelastic and elastic-plastic contacts at impact between two spherical bodies have been examined. The equations for work and energy in the phases of compression and restitution and at the rolling shear have been obtained. Approximate solutions for the differential equations of movement (displacement) by using the method of equivalent work have been derived.

This new method of differential specific viscoelastic forces allows us to find the equations for all viscoelastic forces. It is principally different from other methods that use the Hertz’s theory, the classical theory of elasticity and the tensor algebra. In this new method, how to find the elastic and viscous forces by an integration of the differential specific forces in the infinitesimal boundaries of the contact area is explained. This method will be useful in research of contact dynamics of any shape of contacting surfaces. It also can be used for determination of the dynamic mechanical properties of materials and in the design of wear-resistant elements and coverings for components of machines and equipment that are in harsh conditions where they are subjected to the action of flow or jet abrasive particles.

This volume will be useful for professional designers of machines and mechanisms as as for the design and development of new advanced materials, such as wear-resistant elastic coatings and elements for pneumatic and hydraulic systems, stop valves, fans, centrifugal pumps, injectors, valves, gate valves, and in other installations.



CONTENTS:
TENTATIVE CONTENTS

Chapter 1. Problems in Contact Dynamics Between Solids
1.1 Introduction
1.2 Problems of Viscoelastic and Elastic-Plastic Contacts
1.3 Boundary Value Problems in Mechanics of Contacts
1.4 Model of Dynamic Contact and Friction Between Solids

Chapter 2. Method of the Differential Specific Forces
2.1 Introduction
2.2 The Method of the Differential Specific Forces
2.3 Work of General Viscoelastic Forces
2.4 General Contact Stress
2.5 Examples of Solutions of Contact Problems Between Solids

Chapter 3. Dynamics of Viscoelastic Contacts, Tribo-Cyclicity and Viscoelastic Lubrication

Chapter 4. Method of the Differential Specific Forces for Elastoplastic Contacts

Chapter 5. Dynamics of Elastoplastic Contacts

Appendix. Definition of Dynamic Mechanical Properties of Materials of the Contacting Surfaces


About the Authors / Editors:
Nikolay Goloshchapov, PhD
Scientific Consultant, NNG, Engineering & Physics Consultancy, London, United Kingdom
Nikolay Goloshchapov, PhD, has more than than 30 years’ experience in the fields of physics, mechanical engineering, tribology and materials science, particularly physics and mechanics of materials and polymers and elastomers. He is currently an ndependent private scientific consultant at NNG—Engineering & Physics Science Consultancy, London, UK. He is a specialist in Applied Physics and Math-Mechanics, Tribology, Fatigue life, (wear out and erosion of materials under collision of solids, particularly in optimizing the basic dynamic and mechanical qualities of visco-elastic materials and elastomers [rubbers] for their exploitation in gas jet or flow abrasive solids and substances in different temperatures and velocities of loading and impact). He has acted as a reviewer of articles for international journals, on such topics as scientific instruments and nonlinear dynamics. He has developed a method to define the time of fatigue of materials being in processes of a collision between solid bodies and researched the processes of erosion and durability of polymers and elastomers and other materials being in gas jet and in gas flow of abrasive particles under high and low temperatures.




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