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Determination of the Mean Number of Bonds per snow grain And of the Dependence of the Tensile Strength of Snow on Stereological Parameters

  • H. Gubler (a1)

Abstract

A theoretical density distribution of the Dumber of bonds per grain as a function of the mean number of bonds per grain is derived from the assumption of randomness and isotropy of grain and grain-bond location and orientation. The knowledge of the theoretical density distribution allows the determination of the effective distribution parameters from section planes or thin sections. The concept of the fundamental unit to describe the strength of snow is introduced. Structural parameters developed on the basis of the fundamental units show improved correlations with the tensile strength.

Résumé

La répartition en densité des nombres de liaisons par grain est dérivée en fonction du nombre moyen de liaisons par grain, en supposant l'isotropie des directions de ces liaisons. La notion de cette fonction {de répartition en densité) permet d'évaluer les paramètres effectifs de répartition des analyses de sections. L'idée des unités élémentaires est introduite pour décrire la résistance de la neige. Les paramètres de structure qui sont définis à l'aide des unités élémentaires semblant être en bonne corrélation avec la résistance à la traction.

Zusammenfassung

Aufgrund der Voraussetzung der räumlichen Isotropie der Bindungsrichtungen wird die Dichleverteilung der Koordinationszahlen als Funktion der mittleren Koordinalionszahl abgcleitet. Die Kenntnis der Diehtcverteilungsfunktion erlaubt die Bestimmung der effektiven Verleilungsparanieter aus Schnittanalysen. Das Konzept der Elementareinheit zur Beschreibung der Festigkeil von Schnee wird eingefuhrt. Mit Hilfe der Elcmcntareinheiten delinierte Strukturparameter zeigen eine gute Korrelation mit der Zugfestigkeit.

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Copyright

References

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Ballard, G. E. H. 1965. A theory of snow failure. Cold, U. S. Regions Research and Engineering Laboratory. Research Report 137.
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Gubler, H. 1978. An alternate statistical interpretation of the strength of snow. Journal of Glaciology, Vol. 20, No. 83, p. 34357.
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St. Lawrence, W. [1975] The deformation of snow in terms of a structural mechanism. [Union Géodesique et Géophysique Internationale. Association Internationale des Sciences Hydrologiques. Commission des Neiges et Glaces.] Symposium. Mécanique de la neige. Actes du colloque de Grindelmald, avril 1974, p. 14554. (IAHS-AISH Publication No. 114.)
Underwood, E. E. 1970. Quantitative stereolegy. Reading, Mass., Addison-Wesley Publishing Co.

Determination of the Mean Number of Bonds per snow grain And of the Dependence of the Tensile Strength of Snow on Stereological Parameters

  • H. Gubler (a1)

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