We consider a one-dimensional system of Lennard-Jones nearest and next-to-nearest neighbour interactions. It is known that if a monotone parameterization is assumed then the limit of such a system can be interpreted as a Griffith fracture energy with an increasing condition on the jumps. In view of possible applications to a higher-dimensional setting, where an analogous parameterization seems not always reasonable, we remove the monotonicity assumption and describe the limit as a Griffith fracture energy where the increasing condition on the jumps is removed and is substituted by an energy that accounts for changes in orientation (`creases'). In addition, fracture may be generated by `macroscopic' or `microscopic' cracks.
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|Titolo:||Asymptotic analysis of Lennard-Jones systems beyond the nearest-neighbour setting: a one-dimensional prototypical case|
|Autori interni:||SOLCI, Margherita|
|Data di pubblicazione:||2016|
|Rivista:||MATHEMATICS AND MECHANICS OF SOLIDS|
|Appare nelle tipologie:||1.1 Articolo in rivista|