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Finite element methods for the non-linear mechanics of crystalline sheets and nanotubes

Autor
Arroyo, M.; Belytschko, T.
Tipus d'activitat
Article en revista
Revista
International journal for numerical methods in engineering
Data de publicació
2004-01
Volum
59
Número
3
Pàgina inicial
419
Pàgina final
456
DOI
https://doi.org/10.1002/nme.944 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/8526 Obrir en finestra nova
Resum
The formulation and finite element implementation of a finite deformation continuum theory for the mechanics of crystalline sheets is described. This theory generalizes standard crystal elasticity to curved monolayer lattices by means of the exponential Cauchy-Born rule. The constitutive model for a two-dimensional continuum deforming in three dimensions (a surface) is written explicitly in terms of the underlying atomistic model. The resulting hyper-elastic potential depends on the stretch and ...
Citació
Arroyo, M.; Belytschko, T. Finite element methods for the non-linear mechanics of crystalline sheets and nanotubes. "International journal for numerical methods in engineering", Gener 2004, vol. 59, núm. 3, The definitive version is available at http://www3.interscience.wiley.com/journal/106569279/abstract, p. 419-456.
Paraules clau
carbon nanotubes, continuum surface model, finite elements, hyperelasticity
Grup de recerca
LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria

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