Discrete Contact Mechanics with Applications in Tribology presents new solutions to contact problems for elastic and viscoelastic bodies in normal, sliding, and rolling contact, taking into account effects such as surface microgeometry, adhesion, fluid films, and viscous hysteresis in bulk material or surface layers. These solutions are applied to problems in tribology for modeling contact and friction of bodies with surface microgeometry (rough or textured). The book provides exact mathematical formulations for cases of discrete contact based on classical approaches of contact mechanics, allowing readers to study the influence of different parameters of surface microgeometry on contact characteristics and friction force.
The book will help solve problems in modeling contact and friction interaction in cases of discrete character of contact interaction, mutual influence of individual contact spots in contact interaction of elastic and viscoelastic solids, calculating sliding and rolling friction forces as a result of adhesive and viscoelastic mechanisms of dissipation, and more.
- Provides a raft of solutions to contact problems for elastic and viscoelastic materials in normal, sliding, and rolling contact
- Provides solutions and formulations that consider surface microgeometry, adhesion, fluid films, viscous hysteresis in bulk material or surface layers, and other common material effects
- Features applied methods based on classical contact mechanics approaches, allowing for analytic and half-analytic treatment of problems
| Preface |
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vii | |
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1 Normal discrete contact of elastic solids |
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1 | (42) |
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1.1 Formulation of the discrete contact problem |
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1 | (4) |
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1.2 Periodic contact problems |
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5 | (7) |
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1.3 Approximate solution of the periodic contact problem based on the method of localization |
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12 | (20) |
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1.4 Contact problems with bounded nominal contact region |
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32 | (7) |
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39 | (4) |
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40 | (3) |
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2 Effect of adhesion in normal discrete contact |
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43 | (24) |
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2.1 Adhesion of a different nature: molecular and capillary |
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43 | (6) |
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2.2 Approach to study the normal discrete adhesive contact |
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49 | (8) |
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2.3 Effect of molecular adhesion in normal discrete contact |
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57 | (3) |
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2.4 Effect of capillary adhesion in normal discrete contact |
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60 | (3) |
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63 | (4) |
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63 | (4) |
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3 Additional displacement due to microgeometry of contacting bodies |
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67 | (34) |
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3.1 Additional displacement function (2-D analysis) |
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68 | (5) |
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3.2 Additional displacement function (3-D analysis) |
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73 | (3) |
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3.3 Additional displacement due to microgeometry and adhesion |
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76 | (5) |
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3.4 Effective work of adhesion for surfaces with microgeometry |
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81 | (5) |
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3.5 Two-scale analysis of the contact problems |
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86 | (12) |
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98 | (3) |
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99 | (2) |
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4 Moving contact of elastic bodies with surface microgeometry |
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101 | (34) |
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4.1 Adhesive mechanism of energy dissipation in approach-retraction cycle of two individual asperities |
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101 | (14) |
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4.2 Modeling of sliding friction force |
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115 | (6) |
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4.3 Modeling of rolling friction force |
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121 | (11) |
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132 | (3) |
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132 | (3) |
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5 Microgeometry effect in sliding contact of viscoelastic solids |
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135 | (70) |
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5.1 Hysteretic mechanism of energy dissipation |
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135 | (3) |
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5.2 Effect of microgeometry and thin viscoelastic layer in sliding contact of elastic solids (2-D analysis) |
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138 | (10) |
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5.3 Sliding contact of a punch with periodic microgeometry over the viscoelastic half-plane (2-D analysis) |
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148 | (11) |
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5.4 Sliding contact of a rigid cylinder over the viscoelastic layer with periodic surface microgeometry |
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159 | (11) |
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5.5 Sliding contact of a punch with periodic microgeometry over the viscoelastic foundation (3-D analysis) |
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170 | (7) |
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5.6 Combined effect of hysteresis and adhesion in sliding of a wavy surface |
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177 | (12) |
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5.7 Friction of a multiscale wavy surface taking into account adhesion |
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189 | (8) |
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5.8 Effect of fluid in the gap in sliding contact of a punch with periodic microgeometry over the viscoelastic half-space |
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197 | (4) |
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201 | (4) |
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202 | (3) |
| Index |
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205 | |
Irina Goryacheva is a Professor and Head of the Tribology Laboratory of Ishlinsky Institute for Problems in Mechanics. She is the author of more than 200 papers and 6 books in the field of contact mechanics and tribology and has developed analytical methods of solution of contact problems for deformable bodies with various surface geometry taking into account the effects of mutual influence of contact spots, wear, adhesion, surface films and layers, and inhomogeneity of material properties. Yulia Makhovskaya is Senior Researcher, Tribology Laboratory of Ishlinsky Institute for Problems in Mechanics, and she specializes in the field of contact mechanics and tribology, in particular modeling adhesive contact of elastic and viscoelastic bodies with surface microgeometry.
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