Analysis and Numerical Approximation of an Integro-differential Equation Modeling Non-local Effects in Linear Elasticity
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Publication:3629995
DOI10.1177/1081286505059748zbMath1175.74013OpenAlexW2163377433WikidataQ115242161 ScholiaQ115242161MaRDI QIDQ3629995
Publication date: 2 June 2009
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://depositonce.tu-berlin.de//handle/11303/8848
long-range interactionsintegro-differential equationexistence and uniquenessnumerical approximationjump discontinuityperidynamic theorynonlinear dispersion relations
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Cites Work
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- Elastic media with microstructure. I: One-dimensional models. (Transl. from the Russian)
- Atomistic viewpoint of the applicability of microcontinuum theories
- Deformation of a peridynamic bar
- The effect of long-range forces on the dynamics of a bar
- Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen
- Reformulation of elasticity theory for discontinuities and long-range forces
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