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Material distributions.
- Source :
-
Mathematics & Mechanics of Solids . Jul2020, Vol. 25 Issue 7, p1450-1458. 9p. - Publication Year :
- 2020
-
Abstract
- The concept of material distribution is introduced as describing the geometric material structure of a general non-uniform body. Any smooth constitutive law is shown to give rise to a unique smooth integrable singular distribution. Ultimately, the material distribution and its associated singular foliation result in a rigorous and unique subdivision of the material body into strictly smoothly uniform components. Thus, the constitutive law induces a unique partition of the body into smoothly uniform sub-bodies, laminates, filaments and isolated points. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FIBERS
*DIFFERENTIAL geometry
*LAMINATED materials
Subjects
Details
- Language :
- English
- ISSN :
- 10812865
- Volume :
- 25
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Mathematics & Mechanics of Solids
- Publication Type :
- Academic Journal
- Accession number :
- 143874364
- Full Text :
- https://doi.org/10.1177/1081286517736922