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Band 155

Contact Problems The legacy of L.A. Galin

Aus der Reihe Solid Mechanics and Its Applications

138,99 €

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

25.11.2010

Herausgeber

G.M.L. Gladwell

Verlag

Springer Netherland

Seitenzahl

318

Maße (L/B/H)

23,5/15,5/1,9 cm

Gewicht

505 g

Auflage

1. Auflage

Originaltitel

Contact Problems of Elasticity and Viscoelasticity

Sprache

Englisch

ISBN

978-90-481-8056-1

Beschreibung

Rezension

From the reviews:

“This book, edited by G. M. L. Gladwell, is essentially a summary of the life-long contributions of Professor L. A. Galin to the discipline of Contact Mechanics. … the book is a very welcome addition to the literature in the steadily growing Mathematical Theory of Contact Mechanics. Professor G. M. L. Gladwell should be complemented on the considerable effort and time he put into this fine book, and the contributions of Galin’s students bring the results of this classical approach up to date.” (Meir Shillor, Mathematical Reviews, Issue 2012 e)

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

25.11.2010

Herausgeber

G.M.L. Gladwell

Verlag

Springer Netherland

Seitenzahl

318

Maße (L/B/H)

23,5/15,5/1,9 cm

Gewicht

505 g

Auflage

1. Auflage

Originaltitel

Contact Problems of Elasticity and Viscoelasticity

Sprache

Englisch

ISBN

978-90-481-8056-1

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: [email protected]

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  • Produktbild: Contact Problems
  • Produktbild: Contact Problems
  • Editor's Preface; Biographical Sketch of L.A. Galin;

    Chapter 1 A Review of Research before 1953; 1.1 Introduction; 1.2 Frictionless Plane Problems; 1.3 Plane Adhesive Contact Problems; 1.4 Plane Frictional Contact Problems; 1.5 Plane Contact between Two Elastic Bodies; 1.6 Three-Dimensional Contact Problems;

    Chapter 2 Plane Elasticity Theory; 2.1 The Fundamental Equations; 2.2 Stresses and Displacements in a Semi-Infinite Elastic Plane;

    Chapter 3 Plane Static Isotropic Contact Problems; 3.1 Boundary Conditions for Plane Contact Problems; 3.2 The Riemann-Hilbert Problem for the Half-Plane; 3.3 Frictionless Punch Problems - Introduction; 3.4 Frictionless Punch Problems - Theory; 3.5 Examples of Frictionless Problems; 3.6 Frictional Punch Problems - Theory; 3.7 Frictional Punch Problems - Examples; 3.8 Sliding Contact with Coulomb Friction; 3.9 A Two-Punch Problem;

    Chapter 4 Moving Punches, and Anisotropic Media; 4.1 Introduction; 4.2 Dynamic Plane Isotropic Elasticity Theory; 4.3 Displacement - Stress Relations; 4.4 Boundary Value Problems for a Moving Punch; 4.5 Complex Variable Formulation for a Plane Anisotropic Elastic Body; 4.6 Contact Problems for an Anisotropic Half-Plane; 4.7 Stick-Slip Contact; 4.8 Contact of Two Elastic Bodies;

    Chapter 5 Contact Problems in Three Dimensions; 5.1 The Papkovich-Neuber Solution; 5.2 Solutions of Laplace's Equation in Certain Curvilinear Coordinates; 5.3 Circular Punches; 5.4 The Green's Function for the Exterior of a Circular Disc; 5.5 Axisymmetric Frictionless Contact Problems; 5.6 Axisymmetric Contact with Prescribed Contact Region; 5.7 Loading Outside a Circular Punch; 5.8 Axi-Symmetric Contact Problems with Friction; 5.9 A Punch of Elliptic Cross-Section; 5.10 Forces and Moments on an Elliptical Punch; 5.11 A Punch of Arbitrary Cross-Section; 5.12 The Pressure of a Wedge-Shaped Punch with Plane Base; 5.13 A Slender Beam on an Elastic Body; 5.14 Contact of Two Elastic Bodies; 5.15 Contact between a Rigid Punch and a Clamped Plate;

    Chapter 6 Viscoelasticity, Wear and Roughness; 6.1 Introduction; 6.2 The Laplace Transform; 6.3 2-D Orthotropic Viscoelastic Bodies; 6.4 Adhesive Contact for a Viscoelastic Half-Plane; 6.5 Viscoelastic Rolling Contact; 6.6 The Limiting Case of Rolling of a Cylinder on a Viscoelastic Base; 6.7 Contact Problems in the Presence of Wear; 6.8 Axisymmetric Contact Problems in the Presence of Wear; 6.9 Plane Contact Problems for Rough Elastic Bodies; 6.10 Contact Problems for Rough Axisymmetric Elastic Bodies; References; Index;

    Development of Galin's Research in Contact Mechanics by I.G. Goryacheva;
    1. Two-Dimensional Sliding Contact of Elastic Bodies; 1.1 Problem Formulation; 1.2 Contact Problem for a Cylinder; 1.3 Contact Problem for a Flat Punch;

    2. Contact Problem with Partial Slip for the Inclined Punch with Rounded Edges; 2.1 Problem Formulation; 2.2 Contact Pressure Analysis; 2.3 Shear Stress Analysis; 2.4 Tensile Stress Analysis; 2.5 Results and Discussions; 2.6 Conclusions; 2.7 Appendix;

    3. Three-Dimensional Sliding Contact of Elastic Bodies; 3.1 The Friction Law Has the Form ;3.2 The Friction Law Has the Form;

    4. Periodic Contact Problem; 4.1 One-Level Model; 4.2 Principle of Localization; 4.3 System of Indenters of Various Heights; 4.4 Stress Field Analysis;

    Hertz Type Contact Problems for Power-Law Shaped Bodies, by Feodor M. Borodich;
    1. Introduction; 1.1 Hertz Type Contact Problems for rigid Indenters; 1.2 Formulation of a Hertz Type Contact Problem;

    2. Frictionless Axisymmetric Contact; 2.1 The Galin Solution for Frictionless Axisymmetric Contact; 2.2 The Sneddon Representation of the Galin solution; 2.3 The Galin Solution for Monomial Punches; 2.4 A Solution for Polynomial Punches;

    3. Axisymmetric Contact Problems with Molecular Adhesion;

    4. Adhesive (No-Slip) Axisymmetric Contact Problems;4.1 Two-Dimensional Problem for a Punch with Horizontal Base; 4.2 Axisymmetric Adhesive Contact Problems for Curved Punches; 4.3 The Mossakovskii Solution for Adhesive Contact; 4.4 Solution to the Problem for Punches of Monomial Shape;

    5. Self-similar Contact Problems; 5.1 Similarity Transformations for Hertz Type Contact Problems;5.2 Punches Described by Homogeneous Functions; 5.3 Punches Described by Parametric-Homogeneous Functions;

    6. Hardness Measurements and Depth-Sensing Techniques; 6.1 Brief History of Hardness Measurements; 6.2 Depth-Sensing Techniques; 6.3 Adhesive (No-Slip) Indentation; 6.4 Similarity Considerations of 3D Indentation;

    Further Developments of Galin's Stick-Slip Problem by Olesya I. Zhupanska;
    1. Introduction;

    2. The Stick-Slip Problem in Galin's Formulation; 2.1 Refinements of Galin's Solution; 2.2 Solution of the Galin Stick-Slip Problem Due to Antipov and Arutyunyan; 2.3 Solution to the Galin Stick-Slip Problem Due to Spence;

    3. Extensions to the Stick-Slip Contact Problem; 3.1 Arbitrary Load; 3.2 A Periodic System of Punches; 3.3 Self-similarity Approach in Stick-Slip Contact Problems