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PREFACE
LIST OF FIGURES
1 MECHANICS BACKGROUND
1.1 DEFORMATION AND STRAIN
1.2 COMPATIBILITY EQUATIONS
1.3 TRACTION AND STRESS
1.4 EQUILIBRIUM EQUATIONS
1.5 LINEAR ELASTIC CONSTITUTIVE RELATIONS
1.5.1 GENERALIZED HOOKE’S LAW
1.5.2 ISOTROPIC ELASTICITY
1.6 BOUNDARY VALUE PROBLEMS
2 LINEAR VISCOELASTIC SOLIDS
2.1 BOLTZMANN SUPERPOSITION INTEGRAL
2.1.1 ONE-DIMENSIONAL CREEP FORMULATION
2.1.2 ONE-DIMENSIONAL RELAXATION FORMULATION
2.1.3 THREE-DIMENSIONAL FORMULATIONS
2.2 INTERCONVERSION AND LAPLACE TRANSFORM
2.3 FREQUENCY DOMAIN
2.3.1 STORAGE AND LOSS MODULI
2.3.2 THE COMPLEX MODULUS
2.4 TIME-TEMPERATURE SUPERPOSITION
2.5 MECHANICAL ANALOGS AND SPECTRA
3 ELASTIC HALF-SPACE SOLUTIONS
3.1 HOMOGENOUS MEDIUM
3.1.1 VERTICAL POINT LOAD
3.1.2 VERTICAL CIRCULAR STRESS PATCH
3.1.3 HORIZONTAL POINT LOAD
3.2 LAYERED MEDIUM
3.2.1 AXISYMMETRY
3.2.2 HANKEL TRANSFORM
3.2.3 FORMULATION
3.2.4 NUMERICAL CONSIDERATIONS
3.2.5 MULTIPLE AND MOVING LOADS
4 PLATE MECHANICS
4.1 GOVERNING DIFFERENTIAL EQUATION
4.1.1 INTRODUCTION
4.1.2 EQUILIBRIUM
4.1.3 STRESS-STRAIN-DEFLECTION RELATIONS
4.1.4 ADDITIONAL RELATIONS
4.2 FOUNDATION MODELS
4.3 HERTZ’S PROBLEM
4.4 WESTERGAARD’S CASES
4.4.1 INTERIOR LOADING
4.4.2 EDGE LOADING
4.4.3 CORNER LOADING
4.5 THERMAL EFFECTS
4.5.1 UNIFORM
4.5.2 LINEAR GRADIENT
4.5.3 NONLINEAR
4.6 JOINT EFFICIENCY
5 SUPPLEMENTARY TOPICS
5.1 MINER’S HYPOTHESIS
5.2 JOINT SEALING
5.3 INTERNATIONAL ROUGHNESS INDEX
5.3.1 QUARTER-CAR MODEL
5.3.2 FREQUENCY RESPONSE FUNCTION
BIBLIOGRAPHY