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Intro; Preface; Contents; 1 Axisymmetric Frictionless Indentation of a Transversely Isotropic Elastic Half-Space; 1.1 Flat-Ended Cylindrical Indentation; 1.1.1 Generalized Hooke's Law for a Transversely Isotropic Elastic Material; 1.1.2 Indentation Modulus of a Transversely Isotropic Solid; 1.2 Galin-Sneddon General Solution of the Axisymmetric Unilateral Frictionless Contact Problem; 1.2.1 Unilateral Contact Problem Formulation; 1.2.2 Galin-Sneddon Solution; 1.3 Depth-Sensing Indentation of an Elastic Half-Space with a Variable Circular Contact Area
1.3.1 Indentation by a Paraboloidal Indenter: Hertz's Theory of Axisymmetric Contact1.3.2 Indentation by a Conical Indenter; 1.3.3 Indentation by an Indenter of Monomial Shape; 1.3.4 Indentation by a Spherical Indenter; 1.4 Indentation Stiffness and the BASh Relation; 1.5 Oliver-Pharr Method; 1.5.1 Contact Depth; 1.5.2 Contact Area; 1.5.3 Incremental Indentation Stiffness; 1.5.4 Sink-In Depth; 1.5.5 Oliver-Pharr Method for Evaluating the Indentation Modulus; References; 2 Non-axisymmetric Frictionless Indentation of a Transversely Isotropic Elastic Half-Space
2.1 Generalized BASh Relation and the Contact Area Shape Factor2.1.1 Unilateral Contact Problem Formulation; 2.1.2 Incremental Indentation. Harmonic Capacity of Contact Area; 2.1.3 Harmonic Capacity of the Contact Area; 2.1.4 Generalized BASh Relation; 2.1.5 Contact Area Shape Factor; 2.2 General Solution of the Unilateral Contact Problem by Mossakovskii's Method; 2.2.1 Contact Force and Indenter Displacement as Functions of a Single Controlling Parameter; 2.2.2 Contact Force and Indenter Displacement as Functions of the Contact Area Harmonic Radius
2.2.3 Contact Pressure (Inside the Contact Area) and Surface Deflection (Outside the Contact Area)2.3 Indentation with a Self-similar Indenter; 2.3.1 Borodich's Self-similar Solution of the Unilateral Contact Problem; 2.3.2 Contact Pressure Under a Self-similar Indenter; 2.4 Indentation Problem for Self-similar Pyramidal Indenters; 2.4.1 Approximate Solution for the Contact Pressure Under a Self-similar Indenter; 2.4.2 Self-similar Solution for a Regular Pyramidal Indenter; 2.4.3 Universal Scaling Relations for Regular Pyramidal Indenters
2.4.4 Contact Area Shape Factor for a Regular Pyramidal IndenterReferences; 3 Pipette Aspiration of an Elastic Half-Space; 3.1 Axisymmetric Indentation of an Elastic Half-Space by an Annular Indenter; 3.1.1 Indentation Problem Formulation. Governing Integral Equation; 3.1.2 Contact Pressure and Surface Deflection; 3.1.3 Generalized Mossakovskii's Theorem in the Case of an Annular Contact Area; 3.1.4 Indentation by a Narrow Annular Indenter; 3.1.5 Center Surface Deflection for a Narrow Annular Indenter; 3.1.6 Indentation by a Flat-Ended Annular Indenter
1.3.1 Indentation by a Paraboloidal Indenter: Hertz's Theory of Axisymmetric Contact1.3.2 Indentation by a Conical Indenter; 1.3.3 Indentation by an Indenter of Monomial Shape; 1.3.4 Indentation by a Spherical Indenter; 1.4 Indentation Stiffness and the BASh Relation; 1.5 Oliver-Pharr Method; 1.5.1 Contact Depth; 1.5.2 Contact Area; 1.5.3 Incremental Indentation Stiffness; 1.5.4 Sink-In Depth; 1.5.5 Oliver-Pharr Method for Evaluating the Indentation Modulus; References; 2 Non-axisymmetric Frictionless Indentation of a Transversely Isotropic Elastic Half-Space
2.1 Generalized BASh Relation and the Contact Area Shape Factor2.1.1 Unilateral Contact Problem Formulation; 2.1.2 Incremental Indentation. Harmonic Capacity of Contact Area; 2.1.3 Harmonic Capacity of the Contact Area; 2.1.4 Generalized BASh Relation; 2.1.5 Contact Area Shape Factor; 2.2 General Solution of the Unilateral Contact Problem by Mossakovskii's Method; 2.2.1 Contact Force and Indenter Displacement as Functions of a Single Controlling Parameter; 2.2.2 Contact Force and Indenter Displacement as Functions of the Contact Area Harmonic Radius
2.2.3 Contact Pressure (Inside the Contact Area) and Surface Deflection (Outside the Contact Area)2.3 Indentation with a Self-similar Indenter; 2.3.1 Borodich's Self-similar Solution of the Unilateral Contact Problem; 2.3.2 Contact Pressure Under a Self-similar Indenter; 2.4 Indentation Problem for Self-similar Pyramidal Indenters; 2.4.1 Approximate Solution for the Contact Pressure Under a Self-similar Indenter; 2.4.2 Self-similar Solution for a Regular Pyramidal Indenter; 2.4.3 Universal Scaling Relations for Regular Pyramidal Indenters
2.4.4 Contact Area Shape Factor for a Regular Pyramidal IndenterReferences; 3 Pipette Aspiration of an Elastic Half-Space; 3.1 Axisymmetric Indentation of an Elastic Half-Space by an Annular Indenter; 3.1.1 Indentation Problem Formulation. Governing Integral Equation; 3.1.2 Contact Pressure and Surface Deflection; 3.1.3 Generalized Mossakovskii's Theorem in the Case of an Annular Contact Area; 3.1.4 Indentation by a Narrow Annular Indenter; 3.1.5 Center Surface Deflection for a Narrow Annular Indenter; 3.1.6 Indentation by a Flat-Ended Annular Indenter