Vector Analysis of Ice Fabric Data
The mechanical properties of ice are strongly affected by crystal texture and c-axis alignment. In this report we develop a general quantitative method for analysis of uniaxial crystal orientation data. These data are represented as unit vectors from the origin with endpoints on the surface of a uni...
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ftdtic:ADA250832 2023-05-15T16:37:18+02:00 Vector Analysis of Ice Fabric Data Ferrick, Michael G. Claffey, Kerran J. COLD REGIONS RESEARCH AND ENGINEERING LAB HANOVER NH 1992-03 text/html http://www.dtic.mil/docs/citations/ADA250832 http://oai.dtic.mil/oai/oai?&verb=getRecord&metadataPrefix=html&identifier=ADA250832 en eng http://www.dtic.mil/docs/citations/ADA250832 Approved for public release; distribution is unlimited. DTIC AND NTIS Snow Ice and Permafrost Numerical Mathematics *SEA ICE *ICE MECHANICS EIGENVALUES CRYSTALS SPHERES ICE FORMATION ALIGNMENT VARIABLES SURFACES ICE ERRORS VECTOR ANALYSIS STANDARDS OCEANS EQUATIONS TEXTURE STRUCTURES MECHANICAL PROPERTIES COMPARISON AST42 WU01 COMPRESSIVE STRENGTH SCHMIDT NETS PE61102A Text 1992 ftdtic 2016-02-22T16:19:04Z The mechanical properties of ice are strongly affected by crystal texture and c-axis alignment. In this report we develop a general quantitative method for analysis of uniaxial crystal orientation data. These data are represented as unit vectors from the origin with endpoints on the surface of a unit sphere. An orthogonal least-squares error measure is used to develop equations that define the closest plane and line through the data. The resulting eigenvalue problem is identical to that obtained by other investigators using different methods. However, we identify an implicit assumption in the method, and observe that the error measure represents physical distance and quantifies the goodness-of-fit of the idealized structures to the data. For comparison, a parallel development is presented of classical dependent-variable least squares. A method is developed to transform the data and the results for viewing on Schmidt nets drawn in the best plane and the predominant basal plane of a sample, in addition to the standard xy-plane. Applications of the analysis to sea ice samples include both numerical and Schmidt net presentations of results. C-axis orientation, Orthogonal least-squares, Sea ice, Crystal fabric analysis, Schmidt nets. Text Ice permafrost Sea ice Defense Technical Information Center: DTIC Technical Reports database |
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Open Polar |
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Defense Technical Information Center: DTIC Technical Reports database |
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ftdtic |
language |
English |
topic |
Snow Ice and Permafrost Numerical Mathematics *SEA ICE *ICE MECHANICS EIGENVALUES CRYSTALS SPHERES ICE FORMATION ALIGNMENT VARIABLES SURFACES ICE ERRORS VECTOR ANALYSIS STANDARDS OCEANS EQUATIONS TEXTURE STRUCTURES MECHANICAL PROPERTIES COMPARISON AST42 WU01 COMPRESSIVE STRENGTH SCHMIDT NETS PE61102A |
spellingShingle |
Snow Ice and Permafrost Numerical Mathematics *SEA ICE *ICE MECHANICS EIGENVALUES CRYSTALS SPHERES ICE FORMATION ALIGNMENT VARIABLES SURFACES ICE ERRORS VECTOR ANALYSIS STANDARDS OCEANS EQUATIONS TEXTURE STRUCTURES MECHANICAL PROPERTIES COMPARISON AST42 WU01 COMPRESSIVE STRENGTH SCHMIDT NETS PE61102A Ferrick, Michael G. Claffey, Kerran J. Vector Analysis of Ice Fabric Data |
topic_facet |
Snow Ice and Permafrost Numerical Mathematics *SEA ICE *ICE MECHANICS EIGENVALUES CRYSTALS SPHERES ICE FORMATION ALIGNMENT VARIABLES SURFACES ICE ERRORS VECTOR ANALYSIS STANDARDS OCEANS EQUATIONS TEXTURE STRUCTURES MECHANICAL PROPERTIES COMPARISON AST42 WU01 COMPRESSIVE STRENGTH SCHMIDT NETS PE61102A |
description |
The mechanical properties of ice are strongly affected by crystal texture and c-axis alignment. In this report we develop a general quantitative method for analysis of uniaxial crystal orientation data. These data are represented as unit vectors from the origin with endpoints on the surface of a unit sphere. An orthogonal least-squares error measure is used to develop equations that define the closest plane and line through the data. The resulting eigenvalue problem is identical to that obtained by other investigators using different methods. However, we identify an implicit assumption in the method, and observe that the error measure represents physical distance and quantifies the goodness-of-fit of the idealized structures to the data. For comparison, a parallel development is presented of classical dependent-variable least squares. A method is developed to transform the data and the results for viewing on Schmidt nets drawn in the best plane and the predominant basal plane of a sample, in addition to the standard xy-plane. Applications of the analysis to sea ice samples include both numerical and Schmidt net presentations of results. C-axis orientation, Orthogonal least-squares, Sea ice, Crystal fabric analysis, Schmidt nets. |
author2 |
COLD REGIONS RESEARCH AND ENGINEERING LAB HANOVER NH |
format |
Text |
author |
Ferrick, Michael G. Claffey, Kerran J. |
author_facet |
Ferrick, Michael G. Claffey, Kerran J. |
author_sort |
Ferrick, Michael G. |
title |
Vector Analysis of Ice Fabric Data |
title_short |
Vector Analysis of Ice Fabric Data |
title_full |
Vector Analysis of Ice Fabric Data |
title_fullStr |
Vector Analysis of Ice Fabric Data |
title_full_unstemmed |
Vector Analysis of Ice Fabric Data |
title_sort |
vector analysis of ice fabric data |
publishDate |
1992 |
url |
http://www.dtic.mil/docs/citations/ADA250832 http://oai.dtic.mil/oai/oai?&verb=getRecord&metadataPrefix=html&identifier=ADA250832 |
genre |
Ice permafrost Sea ice |
genre_facet |
Ice permafrost Sea ice |
op_source |
DTIC AND NTIS |
op_relation |
http://www.dtic.mil/docs/citations/ADA250832 |
op_rights |
Approved for public release; distribution is unlimited. |
_version_ |
1766027590410174464 |