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Mathematics and Mechanics of Solids
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On Materiality Criteria for Vector Fields and Vector-Lines

James Casey

Department of Mechanical Engineering, University of California at Berkeley, Berkeley, CA 94720

With the aid of a referential description of the kinematics of a deformable continuum, explicit definitions are given for the materiality of vector fields and vector-lines, and necessary and sufficient conditions for materiality are derived. A number of examples are included.

Mathematics and Mechanics of Solids, Vol. 1, No. 2, 219-226 (1996)
DOI: 10.1177/108128659600100205
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