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  • Books  (2)
  • Bonn : Federal Republic of Germany, Press and Public Relations Department  (1)
  • Dordrecht [u.a.] : Kluwer  (1)
  • English  (2)
  • Japanese
  • 2005-2009
  • 1980-1984  (2)
  • 1983  (1)
  • 1981  (1)
  • AWI Library  (2)
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  • Books  (2)
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  • English  (2)
  • Japanese
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  • 2005-2009
  • 1980-1984  (2)
Year
  • 1983  (1)
  • 1981  (1)
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  • 1
    Monograph available for loan
    Monograph available for loan
    Dordrecht [u.a.] : Kluwer
    Call number: M 99.0101 ; AWI G7-86-0694
    Description / Table of Contents: This book is designed as a comprehensive mathematical introduction to the science of the behaviour of glaciers and ice sheets in their geophysical environment. Its main objective is to provide a better fundamental understanding of the problems of ice mechanics and fluid mechanics of large ice masses, and to connect and unify some of the approaches that have been developed in different disciplines concerned with glaciers and ice sheets. The first two chapters provide the physical background by treating ice within the framework of continuum physics and material science. The central part of the book deals with the conceptualization and mathematical formulation of glacier and ice sheet flow. Considerations concerning fluid mechanics and thermodynamics are given equal attention. The aim is to deduce common glaciological formulae from first principles and to state clearly the assumptions which lie behind the approximations. This allows the extension of the results - known to glaciologists in plane flow only - to three dimensions, thus paving the way for further research.
    Type of Medium: Monograph available for loan
    Pages: xxxvii, 510 S.
    ISBN: 9027714738
    Series Statement: Mathematical approaches to geophysics
    Classification:
    Meteorology and Climatology
    Language: English
    Note: TABLE OF CONTENTS: ACKNOWLEDGEMENTS. - PREFACE. - INTRODUCTION. - SYMBOLS AND NOTATION. - PART I. FUNDAMENTAL PHYSICS AND MATERIALS TECHNOLOGY OF ICE. - 1.General Concepts. - 1. Introduction. - 2. Equations of Balance. - 3. Material Response. - (a) General constitutive relations, simple materials. - (b) The rule of material objectivity. - (c) Material symmetry. - (d) Constitutive response for isotropie bodies. - (e) Materials with bounded memory-some constitutive representations. - (f) Incompressibility. - (g) Some representations of isotropic functions. - 4. The Entropy Principle. - (a) The viscous heat-conducting compressible fluid. - (b) The viscous heat-conducting incompressible fluid. - (c) Pressure and extra stress as independent variables. - (d) Thermoelastic solid. - (e) Final remarks. - 5. Phase Changes. - (a) Phase changes for a viscous compressible heat-conducting fluid. - (b) Phase changes for a viscous incompressible heat-conducting fluid. - References. - 2. A Brief Summary of Constitutive Relations for Ice. - 1. Preliminary Remarks. - 2. The Mechanical Properties of Hexagonal Ice. - (a) The crystal structure of ordinary ice. - (b) The elastic behavior of hexagonal ice. - (c) The inelastic behavior of single-crystal ice. - 3. The Mechanical Properties of Polycrystalline Ice. - (a) The elastic behavior of polycrystalline ice. - (b) Linear viscoelastic properties of polycrystalline ice. - (α) General theory. - (β) Experimental results. - (c) Non-linear viscous deformation and creep. - (α) Results of creep tests. - (β) Generalization to a three-dimensional flow law. - (γ) Other flow laws. - 4. The Mechanical Properties of Sea Ice. - (a) The phase diagram of standard sea ice and its brine conten. - (b) Elastic properties. - (c) Other material properties. - References. - PART II. THE DEFORMATION OF AN ICE MASS UNDER ITS OWN WEIGHT. - 3. A Mathematical Ice-flow Model and its Application to Parallel-sided Ice Slabs. - 1. Motivation and Physical Description. - 2. The Basic Model - Its Field Equations and Boundary Conditions. - (a) The field equations. - (α) Cold ice region. - (β) Temperate ice region. - (b) Boundary conditions. - (α) At the free surface. - (β) Along the ice-water interface. - (γ) Along the bedrock surface. - (δ) Along the melting surface. - 3. The Response of a Parallel-sided Ice Slab to Steady Conditions. - (a) Dimensionless forms of the field equations. - (b) Parallel-sided ice slab, a first approximation to glacier and ice-shelf flow dynamics. - (α) Velocity and temperature fields x-independent. - (β) Extending and compressing flow. - (γ) Floating ice shelves 4. Concluding Remark. - References. - 4. Thermo-mechanical Response of Nearly Parallel-sided Ice Slabs Sliding over their Bed. - 1. Motivation. - 2. The Basic Boundary-value Problem and its Reduction to Linear Form. - 3. The Solution of the Boundary-value Problems. - (a) Zeroth-order problem. - (b) First-order problem. - (α) Harmonic perturbation from uniform flow for a zero accumulation rate. - (β) Analytic solution for a Newtonian fluid. - (γ) Numerical solution for non-linear rheology. - (δ) Effect of a steady accumulation rate. - (ε) A historical note on a previous approach. - (η) The first-order temperature problem. - (c) Numerical results for steady state. - (α) Transfer of bottom protuberances to the surface. - (β) Basal stresses. - (γ) Surface velocities. - (δ) Effect of a steady accumulation rate. - 4. Remarks on Response to a Time-dependent Accumulation Rate. - 5. Surface-wave Stability Analysis. - (a) The eigenvalue problem. - (b) Discussion of results. - 6. Final Remarks. - References. - 5. The Application of the Shallow-ice Approximation. - 1. Background and Previous Work. - 2. Derivation of the Basal Shear-stress Formula by Integrating the Momentum Equations over Ice Thickness. - (a) Derivation. - (b) The use of the basal shear-stress formula in applied glaciology. - 3. Solution of the Ice-flow Problem using the Shallow-ice Approximation. - (a) Governing equations. - (b) Shallow-ice approximation. - (c) Construction of the perturbation solution. - (d) Results. - (e) Temperature field. - 4. Theoretical Steady-state Profiles. - (a) Earlier theories and their limitations. - (b) Surface profiles determined by using the shallow-ice approximation. - 5. An Alternative Scaling - a Proper Analysis of Dynamics of Ice Sheets with Ice Divides. - (a) Finite-bed inclination. - (b) Small-bed inclination. - (c) Illustrations. - References. - 6. The Response of a Glacier or an Ice Sheet to Seasonal and Climatic Changes. - 1. Statement of the Problem. - 2. Development of the Kinematic Wave Theory. - (a) Full non-linear theory. - (b) Perturbation expansion-linear theory. - (c) An estimate for the coefficients C and D. - (d) Boundary and initial conditions. - 3. Theoretical Solutions for a Model Glacier. - (a) Solutions neglecting diffusion. - (b) Theoretical solutions for a diffusive model. - (α) Coefficient functions for the special model. - (β) Solution for a step function. - (γ) General solution for uniform accumulation rate. - (δ) The inverse problem - calculation of climate from variations of the snout. - 4. General Treatment for an Arbitrary Valley Glacier. - (a) Fourier analysis in time. - (α) Low-frequency response. - (β) High-frequency response. - (γ) Use of the results. - (b) Direct integration methods. - 5. Derivation of the Surface-wave Equation from First Principles Non-linear Theory. - (a) Surface waves in the shallow-ice approximation. - (α) Integration by the methods of characteristics. - (β) An illustrative example. - (γ) A remark on linearization. - (δ) Effects of diffusion. - (b) Remarks regarding time-dependent surface profiles in ice sheets. - (c) Long waves in an infinite ice slab - Is accounting for diffusion enough?. - (α) Basic equations. - (β) Construction of perturbation solutions. - (γ) Numerical results. - 6. Concluding Remarks. - References. - 7. Three-dimensional and Local Flow Effects in Glaciers and Ice Sheets. - 1. Introduction. - 2. Effect of Valley Sides on the Motion of a Glacier. - (a) Solutions in special cases. - (α) Exact solutions for the limiting cases. - (β) Solution for a slightly off-circular channel. - (γ) A note on very deep and wide channels. - (b) A useful result for symmetrical channels with no boundary slip. - (c) Numerical solution - discussion of results. - 3. Three-dimensional Flow Effects in Ice Sheets. - (a) Basic equations. - (b) Decoupling of the stress-velocity problem from the problem of surface profile. - (c) The equation describing the surface geometry. - (d) The margin conditions. - 4. Variational Principles. - (a) Fundamental variational theorem. - (b) Variational principle for velocities. - (c) Reciprocal variational theorem. - (d) Maximum and minimum principles. - (e) Adoption of the variational principles to ice problems. - 5. Discussion of Some Finite-element Solutions. - References. - Appendix: Detailed Calculations Pertaining to Higher-order Stresses in the Shallow-ice Approximation. - AUTHOR INDEX. - SUBJECT INDEX.
    Location: Upper compact magazine
    Location: AWI Reading room
    Branch Library: GFZ Library
    Branch Library: AWI Library
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  • 2
    Monograph available for loan
    Monograph available for loan
    Bonn : Federal Republic of Germany, Press and Public Relations Department
    Call number: AWI P6-18-91970
    Type of Medium: Monograph available for loan
    Pages: iv, 169 Seiten
    Language: English
    Note: CONTENTS: Introduction. - International co-operation. - Intergovernmental co-operation. - Non-governmental co-operation. - I. Scientific Programme. - 1. Astronomy. - 2. Biological Sciences. - 2.1 The marine ecosystem and its living resources. - 2.1.1 Food resources, phytoplankton production and zooplankton. - 2.1.2 The role of the benthos. - 2.1.3 The role of micro-organisms. - 2.1.4 Distribution and incidence of seals in the pack-ice of the Weddell Sea. - 2.1.5 Distribution and life history of fishes. - 2.1.6 Large-scaie distribution and drift of krill. - 2.1.7 Composition and behaviour of krill shoals. - 2.1.8 Preservation and processing of krill. - 2.2 The adaptation of antarctic marine organisms to their environment. - 2.2.1 Experiments and marine studies on .the ecophysiology of krill. - 2.2.2 Temperature regulation and food requirements of warm-blooded antarctic animals. - 2.2.3 Growth, digestive system and food economy of antarctic fishes. - 2.2.4 Freezing resistance of sea animals. - 2.2.5 Taxonomy of antarctic marine organisms. - 2.3 Terrestrial biology in Antarctica. - 2.3.1 Temperature adjustments in the reproductive biology of antarctic birds. - 2.3.2 Biochemical bases of growth processes in poikilothermic organisms at very low temperatures. - 2.3.3 Nutritional biology of poikilothermic herbivora. - 2.3.4 Study of lichens, fungi and bacteria in Antarctica and on offshore islands. - 2.3.5 Photosynthesis and heterotrophic life cycle of plants at very low temperatures. - 2.4 Environmental protection in Antarctica. - 2.5 Human biology and medicine in polar regions. - 3. Geodesy, Cartography and Remote Sensing. - 3.1 Satellite geodesy. - 3.2 Doppler satellite positioning. - 3.3 Geodetic mapping of ice-free areas. - 3.4 Remote-sensing by satellite. - 4. Geology and Geophysics. - 4.1 Study of drift processes as a contribution to the geological history of Antarctica. - 4.1.1 Study of magnetic structures by means of aeromagnetic photography. - 4.1.2 Paleomagnetic studies of drift evolution. - 4.1.3 Micro-earthquakes as indicators of tectonic activity. - 4.1.4 Earth tides and natural oscillations of the earth. - 4.2 Studies of the structure of crust and mantle. - 4.2.1 Structure of the basement complex of the transantarctic mountain chain in the area east of the Filchner Ice Shelf. - 4.2.2 Structure of the basement of the Weddell Sea, the Filchner/Ronne Ice Shelf, and the peripheral area. - 4.2.3 Oldest and highly metamorphous rocks of the East Antarctic. - 4.3 Stratigraphy, tectonics and magmatism in the mobile areas. - 4.3.1 Mobile fringe areas of the East Antarctic. - 4.3.2 Paleozoic and mesozoic mountains(Beacon upper group) in the transantarctic mountains. - 4.3.3 Early paleozoic to cainozoic orogenes in the area around the Filchner/Ronne Ice Shelf. - 4.4 Study of exogenous processes under extremely cold conditions. - 4.4.1 Glacial geology and geomorphology. - 4.4.2 Weathering and detrital formation. - 4.5 Geoscientific marine research. - 5. Glaciology. - 5.1 Volume and dynamics of the Filchner/Ronne Ice Shelf. - 5.2 Determining the extent and thickness of the ice and its temporal variation in the Filchner/Ronne Ice Shelf sector and peripheral areas. - 5.3 Determining the composition and inner structure of the Filchner/Ronne Ice Shelf on the basis of geophysical surface measurements. - 5.4 Studies of the dynamics of the pack-ice in the Weddell Gyre. - 5.5 Physical characteristics of ocean ice. - 5.6 Glaciological drillings. - 5.7 Chemical composition and accumulation genesis of antarctic background aerosol; global transport of trace gases and aerosols. - 5.8 Study of the elastic and rheological characteristics of ice, its heat conductability and texture affected by deformation. - 6. Upper Atmosphere and Extraterrestrial Physics. - 6.1 Investigation of whistlers and VLF radio emissions (chorus, hiss, etc) at conjugated points. - 6.2 Study of terresterial magnetic pulsations at conjugated points. - 6.3 Study of atmospherics to obtain more precise data on worldwide thunderstorms. - 6.4 Measurements of the aero-electric field. - 6.5 Balloon-based study of the ionosphere in the light of Mg t resonance lines. - 6.6 Measurement of the vertical distribution of ozone, steam and aerosol up to an altitude of 30 km. - 6.7 Measurements of emission in the infrared 9.6 µ ozone band from the ground. - 6.8 Other projects which may be carried out simultaneously with the above or later. - 6.9 Proposed basic terrestrial magnetic equipment for the Antarctic Station. - 6.10 Meteorite search expedition. - 6.11 Study of micrometeorites and cosmic dust. - 7. Meteorology and Oceanography. - 7.1 Meteorology. - 7.1.1 Atmospheric boundary stratum. - 7.1.2 Study of stratospheric circulation. - 7.1.3 Measurement of trace gases over long periods. - 7.1.4 Other research projects. - 7.1.5 Weather service observations and consultations. - 7.1.6 Basic meteorological equipment for the Antarctic Station. - 7.2 Physical oceanography. - 7.2.1 Formation and extent of bottom water in the Atlantic sector of the circumantarctic ocean. - 7.2.2 Numeric simulation of the vertical flows of material, energy and impulses. - 7 2.3 Time scales of transportation in deep water with the aid of radioactive trace elements. - 7.2.4 Detection of heavy metals in the Antarctic Ocean. - 7.2.5 Fishery oceanography in circumantarctic waters. - 7.2.6 Other research projects. - 8. Engineering Sciences. - 8.1 Shipbuilding technology. - 8.1.1 Measuring and testing programme regarding the performance of vessels in ice and technical developments in the construction of ice-going vessels. - 8.2 Iceberg location and navigation. - 8.2.1 Iceberg location. - 8.2.2 Development of precision positioning systems (also for dynamic positioning) to ensure noninterference with signals transmitted through ice and water masses of different thicknesses. - 8.3 Construction techniques. - 8.4 Exploration techniques. - 8.5 Other topics. - The Antarctic Research Station. - The Polar Research and Supply Ship. - The Polar Research Institute. - Institutions contributing to the Programme.
    Location: AWI Reading room
    Branch Library: AWI Library
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