Oberwolfach Reports


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Volume 8, Issue 1, 2011, pp. 169–199
DOI: 10.4171/OWR/2011/04

Published online: 2011-09-04

Mini-Workshop: Mathematical Analysis for Peridynamics

Etienne Emmrich[1], Max Gunzburger[2] and Richard B. Lehoucq[3]

(1) Universit├Ąt Bielefeld, Germany
(2) Florida State University, Tallahassee, United States
(3) Sandia National Laboratories, Albuquerque, USA

A mathematical analysis for peridynamics, a nonlocal elastic theory, is the subject of the mini-workshop. Peridynamics is a novel multiscale mechanical model where the canonical divergence of the stress tensor is replaced by an integral operator that sums forces at a finite distance. As such, the underlying regularity assumptions are more general, for instance, allowing discontinuous and non-differentiable displacement fields. Although the theoretical mechanical formulation of peridynamics is well understood, the mathematical and numerical analyses are in their early stages. The mini-workshop proved to be a catalyst for the emerging mathematical analyses among an international group of mathematicians.

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Emmrich Etienne, Gunzburger Max, Lehoucq Richard: Mini-Workshop: Mathematical Analysis for Peridynamics. Oberwolfach Rep. 8 (2011), 169-199. doi: 10.4171/OWR/2011/04