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===Strain factorization===

===Strain factorization===

Strain factorization is a mathematical approach to quantify and characterize the variation of strain components in terms of the intensity and distribution that produces the finite strain throughout a deformed region.<ref name=Transpression>Sanderson, David; Marchini, W.R.D. (1984). "Transpression". Journal of Structural Geology 6 (5): 449–458.</ref><ref name=RamsayHuber1 /><ref name=RamsayHuber2 /><ref name=Evans&Dunne>{{cite journal|last1=Evans|first1=Mark|last2=Dunne|first2=William|title=Strain factorization and partitioning in the North Mountain thrust sheet, central Appalachians, U.S.A.|journal=Journal of Structural Geology|date=1991|volume=13|issue=1|pages=21–35}}</ref> This effort is achieved through matrix multiplication.<ref name=RamsayHuber1>Ramsay, John; Huber, Martin (1983). The Techniques of Modern Structural Geology Volume 1: Strain Analysis. London: Academic Press. ISBN 0-12-576901-6.</ref><ref name=RamsayHuber2>{{cite book|last1=Ramsay|first1=John|last2=Huber|first2=Martin|title=The Techniques of Modern Structural Geology Volume 2: Folds and Fractures|date=1987|publisher=Academic Press|location=London|isbn=0-12-576902-4}}</ref> Refer to the figure below to conceptually visualize what is obtained through strain factorization.

Strain factorization is a mathematical approach to quantify and characterize the variation of strain components in terms of the intensity and distribution that produces the finite strain throughout a deformed region.<ref name=Transpression>Sanderson, David; Marchini, W.R.D. (1984). "Transpression". Journal of Structural Geology 6 (5): 449–458.</ref><ref name=RamsayHuber1 /><ref name=RamsayHuber2 /><ref name=Evans&Dunne>{{cite journal|last1=Evans|first1=Mark|last2=Dunne|first2=William|title=Strain factorization and partitioning in the North Mountain thrust sheet, central Appalachians, U.S.A.|journal=Journal of Structural Geology|date=1991|volume=13|issue=1|pages=21–35}}</ref> This effort is achieved through matrix multiplication.<ref name=RamsayHuber1>Ramsay, John; Huber, Martin (1983). The Techniques of Modern Structural Geology Volume 1: Strain Analysis. London: Academic Press. ISBN 0-12-576901-6.</ref><ref name=RamsayHuber2>Ramsay, John; Huber, Martin (1987). The Techniques of Modern Structural Geology Volume 2: Folds and Fractures. London: Academic Press. ISBN 0-12-576902-4.</ref> Refer to the figure below to conceptually visualize what is obtained through strain factorization.

[[File:SpFactor3.jpeg|600px|thumbnail|center|Conceptual illustration of strain factorization. This highlights how the order of superposition of pure and simple shear components produce differing geometries, as matrix multiplication is non-communicative. Adaptation and modifications from Ramsay and Huber, 1983;<ref name=RamsayHuber1 /> Ramsay and Huber, 1987<ref name=RamsayHuber2 />]]

[[File:SpFactor3.jpeg|600px|thumbnail|center|Conceptual illustration of strain factorization. This highlights how the order of superposition of pure and simple shear components produce differing geometries, as matrix multiplication is non-communicative. Adaptation and modifications from Ramsay and Huber, 1983;<ref name=RamsayHuber1 /> Ramsay and Huber, 1987<ref name=RamsayHuber2 />]]