Journal
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
Volume 45, Issue 2, Pages 217-234Publisher
EDP SCIENCES S A
DOI: 10.1051/m2an/2010040
Keywords
Peridynamic model; nonlocal continuum theory; well-posedness; Navier equation
Categories
Funding
- NSF [DMS-0712744]
- DOE/Sandia Lab [926627, 961673]
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We develop a functional analytical framework for a linear peridynamic model of a spring network system in any space dimension. Various properties of the peridynamic operators are examined for general micromodulus functions. These properties are utilized to establish the well-posedness of both the stationary peridynamic model and the Cauchy problem of the time dependent peridynamic model. The connections to the classical elastic models are also provided.
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