MECHANICAL THEORY OF HEAT AND ITS APPLICATIONS
CONTENTS VISCOELASTIC RELAXATION THEORY, MOMENTUM AND POISSON EQUATIONS RHEOLOGICAL MODELS MATHEMATICS THE LINEAR MAXWELL SOLID COMPRESSIBLE AND INCOMPRESSIBLE EARTH’S MODELS THE CORRESPONDENCE PRINCIPLE EXPANSION IN SPHERICAL HARMONICS VOLUME CHANGES AND SURFACE FORCES SPHEROIDAL AND TOROIDAL DEFORMATIONS SPHEROIDAL DEFORMATIONS TOROIDAL DEFORMATIONS BOUNDARY CONDITIONS THE EARTH’S SURFACE CHEMICAL BOUNDARIES CORE-MANTLE BOUNDARY ELASTIC AND VISCOELASTIC SOLUTIONS LOAD AND TIDAL LOVE NUMBERS APPLICATION OF THE CORRESPONDENCE PRINCIPLE THE RELAXATION SPECTRUM MODAL AND NON-MODAL CONTRIBUTIONS THE COMPLEX CONTOUR INTEGRATION POINT SOURCES POINT LOADS FAULT DISCONTINUITIES REFERENCES INCOMPRESSIBLE AND COMPRESSIBLE ANALYTICAL VISCOELASTIC MODELS ANALYTICAL SOLUTION GREEN FUNCTIONS FOR INCOMPRESSIBLE AND COMPRESSIBLE STRATI?ED VISCOELASTIC EARTH’S MODELS CORE-MANTLE BOUNDARY (CMB) MATRIX PROPAGATORS AND FUNDAMENTAL MATRICES LAYERED INCOMPRESSIBLE MODELS RELAXATION TIMES FOR INCOMPRESSIBLE EARTH’S MODELS THE SELF-COMPRESSED, COMPRESSIBLE SPHERE THE ANALYTICAL SOLUTION THE RELAXATION SPECTRUM OF THE SELF-COMPRESSED COMPRESSIBLE SPHERE THE COMPOSITIONAL MODES VISCOELASTIC PERTURBATIONS DUE TO SURFACE LOADING TOROIDAL SOLUTION TIME DEPENDENT LOADING LOVE NUMBERS ROTATIONAL DYNAMICS OF VISCOELASTIC PLANETS: LINEAR THEORY INTRODUCTION TO EARTH’S ROTATION LIOUVILLE EQUATIONS MACCULLAGH’S FORMULA INERTIA PERTURBATIONS DUE TO CHANGES IN THE CENTRIFUGAL POTENTIAL LINEARIZED LIOUVILLE EQUATIONS THE CONCEPT OF TRUE POLAR WANDER (TPW) REFERENCE FRAME ADJUSTMENT OF THE EQUATORIAL BULGE DEVELOPMENTS OF LINEARIZED ROTATION THEORIES COMPARISON BETWEEN DIFFERENT ROTATION THEORIES OMISSION OF THE M0 ROTATION MODE ANALYTICAL FORMULA FOR THE M0 ROTATION MODE UNI?CATION OF THE DIFFERENT APPROACHES NON-HYDROSTATIC BULGE CONTRIBUTION READJUSTMENT OF THE ROTATIONAL BULGE COMPRESSIBLE AND INCOMPRESSIBLE READJUSTMENT OF THE EQUATORIAL BULGE LONG-TERM BEHAVIOR OF THE ROTATION EQUATION THEORY FOR ROTATION CHANGES DUE TO MANTLE CONVECTION TIME-DEPENDENT INERTIA DUE TO MANTLE CONVECTION TPW SIMULATIONS POLAR WANDER ON THE EARTH, MOON, MARS AND VENUS TPW AND _J2 INDUCED BY ICE-SHEET LOADING TPW AND _J2 FROM PGR THE INFERENCE OF MANTLE VISCOSITY FROM TPW AND _J2 DATA LOADING MANTLE VISCOSITY VARIATIONS IN DEPTH OF THE TWO-LAYER MANTLE VISCOSITY PRO?LE UPPER MANTLE VISCOSITIES LOWER THAN 1021 PA S ICE AGE CYCLES AND THE POLAR WANDER PATH: LITHOSPHERIC AND MANTLE RHEOLOGY ICE AGE TRUE POLAR WANDER IN A COMPRESSIBLE AND NON-HYDROSTATIC EARTH THE ROLE OF MANTLE HETEROGENEITIES DETECTION OF THE TIME-DEPENDENT GRAVITY FIELD AND GLOBAL CHANGE CHANGES IN THE LONG-WAVELENGTH GEOID COMPONENTS FROM SATELLITE LASER RANGING TECHNIQUES TRADE-OFF BETWEEN LOWER MANTLE VISCOSITY AND PRESENT-DAY MASS IMBALANCE IN ANTARCTICA AND GREENLAND TIME DEPENDENT GRAVITY FIELD FROM THE GRACE SPACE MISSION: THE IMPORTANCE OF PGR MODELS GLOBAL VERTICAL AND HORIZONTAL DISPLACEMENTS FROM PGR THE 2004 SUMATRAN AND 2011 TOHOKU-OKI GIANT EARTHQUAKES MODELING THE 2004 SUMATRAN EARTHQUAKE THE GRACE DATA CONSTRAINING THE 2004 SUMATRAN EARTHQUAKE THE 2011 TOHOKU-OKI EARTHQUAKE: GRAVITATIONAL SEISMOLOGY SEA-LEVEL CHANGES THE ISSUE OF SEA-LEVEL CHANGE, A PRESENT-DAY CONCERN SEA-LEVEL VARIATIONS, GEOID AND GRAVITY ANOMALIES DUE TO PLEISTOCENE DEGLACIATION MATHEMATICAL FORMULATION SEA-LEVEL VARIATIONS, THE GEOID AND FREE-AIR GRAVITY ANOMALIES GLACIAL ISOSTATIC ADJUSTMENT (GIA) VERSUS TECTONIC PROCESSES: THE EXAMPLE OF THE MEDITERRANEAN SEA SEA-LEVEL FLUCTUATIONS INDUCED BY POLAR WANDER SEA-LEVEL CHANGES INDUCED BY SUBDUCTION SEA-LEVEL VARIATIONS, GEOID ANOMALIES AND THE LONG-WAVELENGTH DYNAMIC TOPOGRAPHY A SINGLE SINKING SLAB A DISTRIBUTION OF SLABS TPW DRIVEN BY SUBDUCTION: NON-LINEAR ROTATION THEORY FORMULATION OF THE NON-LINEAR ROTATION PROBLEM POLAR WANDER VELOCITY FOR A DISTRIBUTION OF SLABS POST-SEISMIC DEFORMATION GLOBAL POST-SEISMIC DEFORMATION POST-SEISMIC DEFORMATION FOR SHALLOW EARTHQUAKES THE UMBRIA-MARCHE (1997) EARTHQUAKE THE IRPINIA (1980) EARTHQUAKE ICY MOONS DIURNAL AND NON-SYNCHRONOUS ROTATION (NSR) STRESSES ACTING ON EUROPA’S SURFACE THE TIDAL POTENTIAL THE INTERIOR OF EUROPA THE IMPULSE TIDAL RESPONSE OF EUROPA THE IMPULSE RESPONSE OF INTERIOR MODELS WITH A GLOBAL SUBSURFACE OCEAN APPLICATION TO ICY MOONS I: NORMAL MODES APPLICATION TO ICY MOONS II: IMPULSE RESPONSE TO TIDAL FORCES RADIAL DEFORMATION AT THE SURFACE STRESSES AT THE SURFACE OF EUROPA DIURNAL STRESSES AT THE SURFACE NSR STRESSES AT THE SURFACE STRESS PATTERNS ON EUROPA’S SURFACE MORPHOLOGY OF THE EUROPA ICY MOON