Publicación: Material distributions
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Fecha
2017
Editor/a
Director/a
Tutor/a
Coordinador/a
Prologuista
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Ilustrador/a
Derechos de acceso
Atribución-NoComercial-SinDerivadas 4.0 Internacional
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Título de la revista
ISSN de la revista
Título del volumen
Editor
SAGE
Resumen
The concept of material distribution is introduced as describing the geometric material structure of a general nonuniform 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.
Descripción
Categorías UNESCO
Palabras clave
Singular distributions, material uniformity, differential geometry, Lie groupoids, Lie algebroids, Stefan–Sussman theorem
Citación
Centro
Facultad de Ciencias
Departamento
Matemáticas Fundamentales