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Titlebook: Continuum Mechanics in Environmental Sciences and Geophysics; K. Hutter Book 1993 Springer-Verlag Wien 1993 Environmental Science.Geophysi

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Foundation of Continuum Mechanics,The following lectures give a short indroduction into modern continuum mechanics. The presentation omits many details and should motivate the reader to study the references.
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Continuum Mechanics in Environmental Sciences and Geophysics978-3-7091-2600-4Series ISSN 0254-1971 Series E-ISSN 2309-3706
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https://doi.org/10.1007/978-3-476-04925-4the governing equations and motivate, by means of a scale analysis, the various simplified versions of model equations that are in use in linearized lake dynamics. This scale analysis permits rational deduction of the reduced equations — the most important of these are the shallow water equations —
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https://doi.org/10.1007/978-3-476-04925-4nd slide along their basal surface under the effect of gravity. The field equations comprise the balance laws of mass and momentum and constitutive relations for the partial stresses of the fluid and the solid as well as the seepage force. The fluid is modelled as an incompressible perfect liquid an
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Weltliteratur im brasilianischen Hinterland or unsaturated soils or granular rocks, etc. In the present investigations, porous media theories are referred to as classical mixture theories extended by the concept of volume fractions. This approach, assuming statistically distributed and superimposed continua with internal interactions, implies
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https://doi.org/10.1007/978-3-476-05122-6ecade. For the very slow gravity driven flow of natural ice masses over time scales of thousands of years, the ice is modelled by an incompressible non-linearly viscous fluid with a temperature dependent rate factor. The conservation laws of mass, linear momentum and energy are formulated, together
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https://doi.org/10.1007/978-3-476-05122-6s, to include the effects of quasi-static stresses and interstitial fluids are also discussed. Molecular dynamics type computer simulations that are related to these kinetic theories are reviewed. As an application of granular flow theories to geophysical problems we discuss some analyses of avalanc
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