@inproceedings{ddf69198f9f84a69b757db9200d18cbb,
title = "On the geometry and kinematics of smoothly distributed and singular defects",
abstract = "A continuum mechanical framework for the description of the geometry and kinematics of defects in material structure is proposed. The setting applies to a body manifold of any dimension which is devoid of a Riemannian or a parallelism structure. In addition, both continuous distributions of defects as well as singular distributions are encompassed by the theory. In the general case, thematerial structure is specified by a de Rham current T and the associated defects are given by its boundary ∂T. For a motion of defects associated with a family of diffeomorphisms of a material body, it is shown that the rate of change of the distribution of defects is given by the dual of the Lie derivative operator.",
author = "Marcelo Epstein and Reuven Segev",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2015.; Differential Geometry and Continuum Mechanics, 2013 ; Conference date: 17-06-2013 Through 21-06-2013",
year = "2015",
month = jan,
day = "1",
doi = "10.1007/978-3-319-18573-6\_7",
language = "English",
isbn = "9783319185729",
series = "Springer Proceedings in Mathematics and Statistics",
publisher = "Springer New York LLC",
pages = "203--234",
editor = "R.J. Knops and Chen, \{Gui-Qiang G.\} and Michael Grinfeld",
booktitle = "Differential Geometry and Continuum Mechanics",
}