Peridynamics: a nonlocal continuum theory. (English) Zbl 1311.74013
Griebel, Michael (ed.) et al., Meshfree methods for partial differential equations VI. Selected papers of the sixth international workshop, Bonn, Germany, October 4–6, 2011. Berlin: Springer (ISBN 978-3-642-32978-4/hbk; 978-3-642-32979-1/ebook). Lecture Notes in Computational Science and Engineering 89, 45-65 (2013).
Summary: The peridynamic theory is a nonlocal theory of continuum mechanics based on an integro-differential equation without spatial derivatives, which can be easily applied in the vicinity of cracks, where discontinuities in the displacement field occur. In this paper we give a survey on important analytical and numerical results and applications of the peridynamic theory.
For the entire collection see [Zbl 1257.65003].
For the entire collection see [Zbl 1257.65003].
MSC:
| 74B05 | Classical linear elasticity |
| 74B15 | Equations linearized about a deformed state (small deformations superposed on large) |
| 74B20 | Nonlinear elasticity |
| 74R10 | Brittle fracture |
