The peridynamic equation and its spatial discretisation

    Etienne Emmrich Info
    Olaf Weckner Info
DOI: https://doi.org/10.3846/1392-6292.2007.12.17-27

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

Keywords:

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

Share

Published in Issue
March 31, 2007
Abstract Views
982
PDF Downloads
418

License

Copyright (c) 2007 The Author(s). Published by Vilnius Gediminas Technical University.

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

View article in other formats

  • PDF

CrossMark check

CrossMark logo

Published

2007-03-31

Issue

Vol 12 No 1 (2007)

Section

Articles

Copyright

Copyright (c) 2007 The Author(s). Published by Vilnius Gediminas Technical University.

License

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

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

Share