This book presents a rigorous treatment of the fundamental, mathematical behaviour of pavement structures under dynamic loading. The topic is of growing importance in economic design of aircraft runways and highway pavements. A range of modelling approaches are presented and compared with experimental data.
Preface
List of Symbols
Introduction
Dynamic diagnosis of pavement structures
Stress-wave velocity measurement technique
Theoretical assumptions
Mechanical impedance methods
Complex modulus of elasticity
Function of mechanical impedance
Measurement method
Experimental apparatus
Application to non-destructive testing of the subgrade
Dynamic viscoelastic properties of bituminous materials
Dynamic viscoelastic properties of soil materials
Dynamic diagnosis of subgrade
Application of the phase velocity method
Application of the mechanical impedance method
Diagnosis of dynamic elasticity and rigidity of layered pavement structures
Determination of the characteristics of rigidity and elasticity using detailed measurement
Simplified procedures for the assessment of the elasticity and rigidity characteristics of pavement structures
Evaluation of the rigidity of layered pavements using deflection determined by means of stress-wave velocities
Diagnosis of dynamic elasticity and rigidity of highway pavement sections
Testing pavements under construction
Influence of base and sub-base layers on the overall rigidity of pavement structures
Model of the equivalent plate on subgrade
Calculation of cross-section quantities of equivalent plate and calculation of stress in layered pavement structures
Calculation of stress layered structures with defective layer contact
Coherence of layered pavement stiffness with the characteristics of the equivalent plate
Variations of normal and tangential stress for highway cement concrete pavements with perfect layer contact
Variants of the dynamic theory of the equivalent plate on subgrade
Layer in contact with the half-space
Torsional vibration of layer on viscoelastic half-space
Torsional vibration of mass on layered half-space
Vertical vibration of layer on viscoelastic half-space
Stress waves in layer on half-space without shear contac
Boundary and contact conditions at the interface
Frequency equation
Curves of dispersion for stress-wave phase velocities
Numerical results
Plate on half-space without shear contact
Conditions at the interface of plate and half space
Normal dynamic load on circular contact area
Deflection of plate
Bending moments of equivalent plate
Transverse forces on equivalent plate
Reaction of subgrade
Numerical calculation of components of state vector for highway pavement under construction or completed
Comparison of deflections and stresses in layered pavements according to theory of equivalent plate on subgrade and theory of layered half-space
Technical theory of plate on subgrade
Dynamic simplified model of soil base
Dispersion curve for stress-wave phase velocities and coefficient of equivalent inertia
Axial symmetric dynamic load of unbounded plate on subgrade
Solution in integral form
Solution in closed form
Compensation of subgrade inertia by coefficient of mass increase of plate
Components of the state vector under a dynamic load uniformly distributed on a circular area
Physical model of thin plate on subgrade with rigidity defined by the dispersion curve for flexural stress waves
Numerical waves
Dynamic interaction of plates with the subgrade for characteristic loads
The applied variant of the theory of an equivalent plate on subgrade
Reduction of partial differential equation to an ordinary differential equation
Application of the method of initial parameters
Dynamic load at the boundary region of a plate on subgrade
Half-plate on subgrade
Survey of relationships for state vector components of a half-plate on subgrade
Numerical results
Plate strip on subgrade
Survey of relationships for state vector components of a half-plate subgrade
Numerical results
Dynamic stress state near cut transverse joints of plate subgrade
Influence functions of half-space on subgrade with initial parameters of transverse force FQ0 and bending moment FM0
Determination of unknown initial parameters for transverse force FQ0
Numerical results
Influence of inhomogeneous subgrade on dynamic interaction of plate with subgrade
Results of the dynamic diagnosis of highway pavement at the site of failure cracks in concrete surfacing
Influence of sudden change of rigidity in equivalent plate on subgrade
Numerical results
Sudden change of rigidity situated parallel to free boundary of half-plate on subgrade
Comparison of extreme values of flexural moments and subgrade reactions
Pulse (impact) of equivalent plate on subgrade
Dynamic response of plate on subgrade as an analogue of flexible pavement structure
Dynamic interaction of plate with subgrade under a moving load
Physical model of plate on subgrade as dynamic equivalent of the pavement
Load moving along boundary of half-plate on subgrade
Numerical results
Influence of unevennesses on dynamic response
Influence of periodical surfacing unevennesses under moving load
Influence of periodical surfacing unevennesses by moving load system with two degrees of freedom
Influence of isolated surfacing unevennesses by moving load system with two degrees of freedom
Numerical results
Effect of moving random load
Numerical results
The dynamic response of plates with free boundaries on unbounded soil base
Fundamental solutions for plate and subgrade
Boundary integral formulation according to theorem of reciprocit
Boundary conditions
Integral formulations for an internal point of plate and subgrade
Boundary integral equations
Relations for the calculation of internal forces and moments in plate on subgrade under virtual unit force and moment loads
Solution of boundary integral equations using boundary elements
Numerical results
Square plate on subgrade
Rectangular plate on subgrade
Evaluation of application of boundary element method
Effect of pulse loads
Concentration of vibration about holes in plate on subgrade
Integral formulations according to theorem of reciprocity
Boundary conditions
Boundary integral equations
Solution of integral equations using boundary elements
Numerical results
Diffraction of stress waves in plate on subgrade with rectangular hole
Influence of length of lateral sides of rectangular hole on resonance regions and vibration concentration
Influence of the length of frontal sides of rectangular hole on resonance regions
Influence of rectangular hole in plate on subgrade by pulse propagation
Numerical results
Non-linear dynamic response of unbounded plate on subgrade
Dynamic deflection of unbounded plate on non-linear soil base under a stationary load
Non-stationary vibration problems of an unbounded plate on subgrade
Non-linear non-stationary vibration of a plate on subgrade
Numerical applications
Effect of a trapezoid-shaped pulse
Bending moment in plate on subgrade and subgrade reaction due to an instantaneous pulse load
Effects of vibration-isolating barriers on propagation of vibration in soil bases
Application of boundary element method
Simplified dynamic model of subgrade and fundamental solution
Boundary integral formulation according to Rayleigh’s theorem of reciprocity
Barriers of different materials
Effect of a linear barrier
Influence of various barrier rigidities on vibration isolation
Influence of various barrier thickness on vibration isolation
Dynamic deflection field around barrier
Trench barriers
Linear trench barriers
Sheet piling barriers
Linear sheet piling barriers
Closed circular sheet piling barriers
Screening effect for pulse loads
References
Appendix 1
Appendix 2
Appendix 3
Index
Biography
Martincek, Gustav
"Dynamics of Pavement Structures is the first to present a systematic approach to the analysis of pavement systems from a dynamic point of view...it should find its way into engineering libraries for its comprehensive treatment of dynamics". - Applied Mechanics Reviews
