Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9706684 | International Journal of Non-Linear Mechanics | 2005 | 15 Pages |
Abstract
The peridynamic theory of continuum mechanics allows damage, fracture, and long-range forces to be treated as natural components of the deformation of a material. In this paper, the peridynamic approach is applied to small thickness two- and one-dimensional structures. For membranes, a constitutive model is described appropriate for rubbery sheets that can form cracks. This model is used to perform numerical simulations of the stretching and dynamic tearing of membranes. A similar approach is applied to one-dimensional string like structures that undergrow stretching, bending, and failure. Long-range forces similar to van der Waals interactions at the nanoscale influence the equilibrium configurations of these structures, how they deform, and possibly self-assembly.
Related Topics
Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
S.A. Silling, F. Bobaru,