The non-local peridynamic theory describes the displacement field of a
continuous body by the initial-value problem for an integro-differential
equation that does not include any spatial derivative. The non-locality is
determined by the so-called peridynamic horizon $\delta$ which is the radius
of interaction between material points taken into account. Well-posedness
and structural properties of the peridynamic equation of motion are
established for the linear case corresponding to small relative
displacements. Moreover the limit behavior as $\delta \rightarrow 0$ is
studied.
Publié le : 2007-12-15
Classification:
linear elasticity,
non-local theory,
peridynamic equation,
Navier equation,
35Q72,
74B05,
74B99,
74H10,
74H20,
74H25
@article{1199377554,
author = {Emmrich, Etienne and Weckner, Olaf},
title = {On the well-posedness of the linear peridynamic model and its convergence towards the Navier equation of linear elasticity},
journal = {Commun. Math. Sci.},
volume = {5},
number = {1},
year = {2007},
pages = { 851-864},
language = {en},
url = {http://dml.mathdoc.fr/item/1199377554}
}
Emmrich, Etienne; Weckner, Olaf. On the well-posedness of the linear peridynamic model and its convergence towards the Navier equation of linear elasticity. Commun. Math. Sci., Tome 5 (2007) no. 1, pp. 851-864. http://gdmltest.u-ga.fr/item/1199377554/