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The peridynamic equation and its spatial discretisation

    Etienne Emmrich Affiliation Bio
    ; Olaf Weckner Affiliation

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.


First Published Online: 14 Oct 2010

Keyword : Peridynamic theory, microelastic material, integro‐differential equation, numerical approximation, quadrature, energy conservation

How to Cite
Emmrich, E., & Weckner, O. (2007). The peridynamic equation and its spatial discretisation. Mathematical Modelling and Analysis, 12(1), 17-27. https://doi.org/10.3846/1392-6292.2007.12.17-27
Published in Issue
Mar 31, 2007
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