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Mathematical Modelling and Analysis Volume 12, 2007 - Issue 1
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Original Articles

The peridynamic equation and its spatial discretisation

E. Emmrich Institut für Mathematik, Technische Universität Berlin, Straße des 17. Juni 136, Berlin, 10623, Germany E-mail: [email protected]‐berlin.de
&
O. Weckner Department of Mech. Engineering, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA E-mail: [email protected]
Pages 17-27 | Received 01 Nov 2006, Published online: 14 Oct 2010
 
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Abstract

Different spatial discretisation methods for solving the peridynamic equation of motion are suggested. The methods proposed are tested for a linear microelastic material of infinite length in one spatial dimension. Moreover, the conservation of energy is studied for the continuous as well as discretised problem.

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