Kolumban Hutter

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Hutter

First Name

Kolumban

ORCID

0000-0003-4512-5264

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Publications1 - 10 of 43

Plane steady flow of a cohesionless granular material down an inclined plane: A model for flow avalanches. Part I: Theory
Hutter, Kolumban; Szidarovszky, Ferenc; Yakowitz, Sydney (1986)
Acta Mechanica
A continuum mechanical model describing rapid shear flow of granular materials as deduced by Jenkins and Savage (1983) [11] from considerations of statistical mechanics is applied to steady plane shear flows down an inclined chute. Depending on the type and form of the physically suggested boundary conditions that are imposed at the base and the free surface, respectively, the emerging boundary value problems permit or prohibit existence of mathematical solutions. For instance, the model does not permit incorporation of an aerodynamic drag and requires special sliding boundary conditions at the base. Cause for the singular behavior is the fact that granular pressure and fluctuation energy vanish simultaneously. Rectification is e.g. possible by including particle density gradients in the constitutive relation of granular stress, but this requires postulation of additional boundary conditions. We present the differential equations and boundary conditions and suggest a procedure of non-dimensionalization which yields the dimensionless parameters governing the problem. Construction of local solutions close to the boundaries by means of Frobenius expansions discloses the singular behavior and yields the basis for the non-existence proof under limiting conditions. Adding to the particle stress a Newtonian viscous contribution is not sufficient to regularize the problem and neither is the form of the stress tensor resulting from Lun et al.'s statistical model that incorporates kinetic terms. The stress tensor must have a term proportional to the dyadic product of the particle concentration gradient with itself. Numerical solution techniques and computational results are given in a companion paper (Hutter, Szidarovszky, Yakowitz, 1986 [9]).
Thermal response of unconfined ice shelves to climatic conditions
Williams, F. Mary; Hutter, Kolumban (1983)
Acta Mechanica
An analysis of the thermomechanical behavior of an ice shelf is presented. The mathematics is simplified by simulating the transverse temperature distribution by a realistic shape function thereby replacing the local energy equation by a time-dependent, total energy balance condition which accurately models the ocean-ice and ice-atmosphere heat exchange processes. The emerging steady state theory correlates a dimensionless combination of accumulation rate, horizontal strain rate and thickness with heat flux and surface temperature and shows fair agreement with published data. A time-dependent small perturbation analysis further shows that the criterion of stability of the solutions is expressible in terms of this dimensionless parameter. Stable and unstable flow regimes can be separated and physically interpreted.
Important aspects in the formulation of solid–fluid debris-flow models. Part I. Thermodynamic implications
Hutter, Kolumban; Schneider, Lukas (2010)
Continuum Mechanics and Thermodynamics
Discovery and study of abrasion behavior in granular shear flow
Hsiau, Shu-San; Hutter, Kolumban; Lu, Li-Shin; et al. (2022)
Journal of Mechanics
Experiments were performed in an Couette ring shear cell with particles from the food industry of nearly spherical geometry and nominal diameters between 2.0 and 6.7 mm and with quartz grains with 2.1 to 3.3 mm diameter to examine whether rapid shear flow would give rise to an appreciable change in the granular properties. In particular, it was suspected that surface roughness would change during shearing and lead to changes in the values of the internal and wall friction angles. Measuring these angles corroborated the supposition that abrasion of the particles reduced their frictional resistance, both via the internal and wall friction angles. This demonstrates that roughness changes may occur in granular flows and should in those situations not be ignored in the theoretical descriptions.
Toward computation of steady-stade profiles of ice sheets
Yakowitz, Sydney; Hutter, Kolumban; Szidarovszky, Ferenc (1985)
Zeitschrift für Gletscherkunde und Glazialgeologie
On the basis of complicated but highly plausible ice sheet models and physical assumptions regarding surface temperature, accumulation, geothermal flux, and other boundary conditions, the opportunity exists for constructing profiles and dynamic behavior of glaciers and ice sheets. Even in the simplest case of two-dimensional steady-state grounded ice sheets, however, the model is much too complicated for analytic solution. In this study, progress is reported in our endeavor to find computational solutions to the ice sheet equations. Even computationally, the steady-state ice sheet problem poses substantial challenges.
Elements of a computational theory for glaciers
Yakowitz, Sydney; Hutter, Kolumban; Szidarovszky, Ferenc (1986)
Journal of Computational Physics
In recent years, theoretical glaciologists have derived a complete and highly credible model for ice masses. The model is based on standard conservation laws of physics as well as measured constitutive relations of ice. In this model, mechanical and thermal effects interact through nonlinear creep response laws, and the end product is a system of nonlinear partial differential equations with a free boundary condition. This model is easy enough to relate, but is probably intractible, analytically, and is far from trivial, computationally. This paper describes our strategy for solving a restricted, but nevertheless informative case: the uniaxial, cold, shallow, steady-state ice sheet with an idealized geometry. The authors believe that theirs is the first solution of the fully coupled equations. The details of a particular ice sheet computation are given, and qualitative implications are drawn. The computations go far toward settling some controversies in the glaciology literature, and bring to light questionable aspects of the “shallow ice” approximation.
Gas Dynamics
Hutter, Kolumban; Wang, Yongqi (2016)
Advances in Geophysical and Environmental Mechanics and Mathematics ~ Fluid and Thermodynamics. Volumen 2: Advanced Fluid Mechanics and Thermodynamics Fundamentals
A viscoelastic damage model for polycrystalline ice, inspired by Weibull-distributed fiber bundle models. Part II: Thermodynamics of a rank-4 damage model
Keller, Arne; Hutter, Kolumban (2014)
Continuum Mechanics and Thermodynamics
We consider a viscoelastic–viscoplastic continuum damage model for polycrystalline ice. The focus lies on the thermodynamics particularities of such a constitutive model and restrictions on the constitutive theory which are implied by the entropy principle. We use Müller’s formulation of the entropy principle, together with Liu’s method of exploiting it with the aid of Lagrange multipliers.
Approximate treatment of plane channel flow
Hager, Willi H.; Hutter, Kolumban (1984)
Acta Mechanica
The governing equation for steady two-dimensional channel flow are deduced from the equations of inviscid fluid dynamics. Streamline inclination and curvature effects are approximately accounted for. The integration procedure aims at the elimination of the spatially transverse coordinate; through it one arrives at a second order non-linear ordinary differential equation for the free surface profile having the form of an (extended) Bernoulli-equation and providing formulae for the pressure and velocity distributions. A second derivation, applicable to channels with horizontal Thalweg and arbitrary prismatic cross section, leads to a similar equation for the free surface profile. Illustrations concern solitary waves in rectangular and trapezoidal cross sections. Comparison of theoretical predictions of wave geometry with experiments indicate advantages of our formulation over previous more extensive ones.
Mathematische Vorhersage von barotropen und baroklinen Prozessen im Zürcher und Luganersee
Hutter, Kolumban (1984)
Vierteljahrsschrift der Naturforschenden Gesellschaft in Zürich

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