Physics

Contact Dynamics
Methods of Differential Specific Forces

Nikolay Goloshchapov, PhD

Contact Dynamics

In production
Pub Date: May, 2018
Hardback Price: $169.95 US
Hard ISBN: 9781771886833
Pages: Approx 425p w/Index
Binding Type: hardback
Notes: 23 color and 8 b/w illustrations

This new book, Contact Dynamics: Methods of Differential Specific Forces, 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 can be 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 has 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 well 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:
Preface
Chapter 1. Problems in Contact Dynamics Between Solids
Introduction
Problems of Viscoelastic and Elastic-Plastic Contacts
Boundary Value Problems in Mechanics of Contacts
Model of Dynamic Contact and Friction Between Solids

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

Chapter 3. Dynamics of Viscoelastic Contacts, Tribo-Cyclicity and Viscoelastic Lubrication
Dynamics of Viscoelastic Collision Between Two Spherical Bodies
Tribo-Cyclicity
Examples of a Viscoelastic Sliding and Rolling Friction Between Solid Body and the Flat Semi-Space with a Constant Velocity
Examples of a Viscoelastic Slide and Rolling Motion Between a Body and the Flat Semi-Space under Action of Driving Force
Specificity of High-Viscoelastic Contact During Sliding or Rolling Motion
Viscoelastic Lubrication
Dynamics of an Arbitrary Viscoelastic Collision Between Vessel and Semi-Space
Dynamics of an Arbitrary Viscoelastic Collision Between Cylindrical Wheel and Semi Space

Chapter 4. Method of the Differential Specific Forces for Elastoplastic Contacts
The Method of the Differential Specific Forces for Elastoplastic Contacts
Main Constitutive Relations in the Maxwell Model
Work of Viscous and Elastic Forces in an Elastoplastic Sliding Contacts Between Curvilinear Surfaces of Two Solid Bodies
Dynamics of an Elastoplastic Contact Between Smooth Surfaces of Two Spherical Bodies at Impact
Dynamics of an Arbitrary Elastoplastic Collision Between a Sled, which has an Arbitrary Curvilinear Cylindrical Forward Surface, and Semi-Space
Dynamics of an Arbitrary Elastoplastic Collision Between a Vessel and Semi-Space
Dynamics of an Arbitrary Elastoplastic Collision Between Cylindrical Wheel and Semi-Space
Dynamics of an Arbitrary Elastoplastic Collision Between Toroidal Wheel and Semi-Space

Chapter 5. Dynamics of Elastoplastic Contacts
Time of Fatigue Life
Definition of the Time of Fatigue Life of the Cylindrical Gears
Definition of the Time of Fatigue Life of the Surface of Semi-Space in the Flow of
Experimental Techniques for Determination of Dynamics Moduli by Use the Method of the “Temperature - Time Superposition”

Index


About the Authors / Editors:
Nikolay Goloshchapov, PhD
Scientific Consultant, NNG—Engineering & Physics Consultancy, London, United Kingdom

Nikolay Goloshchapov, PhD, has more than 30 years of 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 independent private scientific consultant at NNG—Engineering & Physics Science Consultancy, London, UK. He is a specialist in applied physics and math-mechanics, tribology, and fatigue life (the 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.

Dr. Goloshchapov developed a method to define the time of fatigue of materials in process a using collision between solid bodies, and he researched the processes of erosion and durability of polymers and elastomers and other materials in a gas jet and in gas flow of abrasive particles under high and low temperatures.




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