Discrete Contact Mechanics with Applications in Tribology

Front Cover
DISCRETE CONTACT MECHANICS WITH APPLICATIONS IN TRIBOLOGY
ELSEVIER SERIES ON TRIBOLOGY AND SURFACE ENGINEERING
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Contents
Preface
1 - Normal discrete contact of elastic solids
	1.1 Formulation of the discrete contact problem
	1.2 Periodic contact problems
		1.2.1 2-D periodic contact problems
		1.2.2 3-D periodic contact problems
	1.3 Approximate solution of the periodic contact problem based on the method of localization
		1.3.1 Problem formulation for one-level periodic system of axisymmetric smooth indenters
		1.3.2 Method of localization
		1.3.3 Analysis of the contact and internal stresses (one-level periodic system of indenters)
		1.3.4 Three-level periodic system of axisymmetric smooth indenters
		1.3.5 Application of the method of localization for solving 2-D periodic contact problems
	1.4 Contact problems with bounded nominal contact region
		1.4.1 Contact problem formulation
		1.4.2 Contact problem for a system of spherical punches
	1.5 Conclusion
	References
2 - Effect of adhesion in normal discrete contact
	2.1 Adhesion of a different nature: molecular and capillary
		2.1.1 Molecular adhesion
		2.1.2 Capillary adhesion
	2.2 Approach to study the normal discrete adhesive contact
		2.2.1 Problem formulation
		2.2.2 Method of solution
	2.3 Effect of molecular adhesion in normal discrete contact
	2.4 Effect of capillary adhesion in normal discrete contact
	2.5 Conclusion
	References
3 - Additional displacement due to microgeometry of contacting bodies
	3.1 Additional displacement function (2-D analysis)
	3.2 Additional displacement function (3-D analysis)
	3.3 Additional displacement due to microgeometry and adhesion
	3.4 Effective work of adhesion for surfaces with microgeometry
	3.5 Two-scale analysis of the contact problems
		3.5.1 Formulation of the contact problems at macroscale using the additional displacement function
		3.5.2 Analysis of the microgeometry effect on the nominal contact characteristics
		3.5.3 Combined effect of microgeometry and adhesion on the nominal characteristics of a two-scale contact
		3.5.4 Analysis of the real contact characteristics taking into account macro- and microgeometries of contacting bodies
	3.6 Conclusions
	References
4 - Moving contact of elastic bodies with surface microgeometry
	4.1 Adhesive mechanism of energy dissipation in approach-retraction cycle of two individual asperities
		4.1.1 Contact problem solution for two asperities in the presence of adhesion
		4.1.2 Analysis of the load-distance dependence
		4.1.3 Energy dissipation in approach and retraction of paraboloids of revolution
		4.1.4 Adhesive contact problem solution using the Winkler model
		4.1.5 Effect of the asperity shape on the energy loss during an approach-retraction cycle
	4.2 Modeling of sliding friction force
		4.2.1 Mutual displacement of two asperities in sliding
		4.2.2 Sliding of two surfaces with regular relief
		4.2.3 Example of the friction force calculation
	4.3 Modeling of rolling friction force
		4.3.1 Problem formulation for a rough cylinder
		4.3.2 Reducing to the problem for a separate asperity
		4.3.3 Solution for a separate asperity
		4.3.4 Solution for a rough cylinder
		4.3.5 Analysis of the contact characteristics
		4.3.6 Calculation of rolling resistance
	4.4 Conclusion
	References
5 - Microgeometry effect in sliding contact of viscoelastic solids
	5.1 Hysteretic mechanism of energy dissipation
	5.2 Effect of microgeometry and thin viscoelastic layer in sliding contact of elastic solids (2-D analysis)
		5.2.1 Problem formulation
		5.2.2 Method of solution
		5.2.3 Analysis of the contact characteristic and friction force
	5.3 Sliding contact of a punch with periodic microgeometry over the viscoelastic half-plane (2-D analysis)
		5.3.1 Constitutive relations for the viscoelastic half-plane
		5.3.2 Saturated periodic contact of the elastic half-plane
		5.3.3 Saturated contact characteristics for the viscoelastic half-plane and punches with various relief shape
	5.4 Sliding contact of a rigid cylinder over the viscoelastic layer with periodic surface microgeometry
		5.4.1 Problem formulation
		5.4.2 Method of solution
		5.4.3 Calculation of the contact characteristics
		5.4.4 Analysis of the calculation results
	5.5 Sliding contact of a punch with periodic microgeometry over the viscoelastic foundation (3-D analysis)
		5.5.1 Contact problem formulation
		5.5.2 Material model
		5.5.3 Method of solution
		5.5.4 Analysis of the results of calculation
	5.6 Combined effect of hysteresis and adhesion in sliding of a wavy surface
		5.6.1 Periodic contact problem formulation
		5.6.2 Solution by using the strip method
		5.6.3 Effect of the parameters of adhesion and surface relief on the contact characteristics and friction force
	5.7 Friction of a multiscale wavy surface taking into account adhesion
		5.7.1 Model description
		5.7.2 Problem formulation and solution at i-th scale level
		5.7.3 Constructing the solution for a multilevel wavy surface
		5.7.4 Results of calculation
	5.8 Effect of fluid in the gap in sliding contact of a punch with periodic microgeometry over the viscoelastic half-space
		5.8.1 Problem formulation
		5.8.2 Analysis of the computational results
	5.9 Conclusions
	References
Index
	A
	B
	C
	D
	E
	F
	H
	I
	J
	K
	M
	N
	O
	P
	R
	S
	T
	V
	W
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