An atomistic-based finite deformation membrane for single layer crystalline films

Journal of the Mechanics and Physics of Solids

Volumn 50, Issue 9, 2002, Pages 1941-1977

  Arroyo, Marino ^a   Belytschko, Ted ^a  

^a Northwestern University   (United States)

Author keywords

A. Buckling; B. Constitutive behavior; B. Shells and membranes; C. Finite elements; D. Atomistic models

Indexed keywords

BUCKLING; CARBON NANOTUBES; CRYSTAL LATTICES; DEFORMATION; ELASTICITY; FILMS; FINITE ELEMENT METHOD;

CRYSTALLINE FILMS;

CRYSTALLINE MATERIALS;

EID: 0036721938     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(02)00002-9     Document Type: Article

References (36)

1. A finite deformation membrane based on inter-atomic potentials for the transverse mechanics of nanotubes
2. Atomistic simulation of nanotubes fracture
3. Theory of growth and mechanical properties of nanotubes
4. Empirical potential for hydrocarbons for use in simulating chemical vapor deposition of diamond films
5. Fully collapsed carbon nanotubes
6. 1-conforming subdivision elements for finite deformation thin-shell analysis
7. Subdivision surfaces: A new paradigm for thin-shell finite-element analysis
8. Inner elasticity
9. Direct methods in the calculus of variations
10. The Cauchy and Born hypotheses for crystals
11. Bending and buckling of carbon nanotubes under large strain
12. A scheme for the passage from atomic to continuum theory for thin films, nanotubes and nanorods
13. Energetics, structure, mechanical and vibrational properties of single-walled carbon nanotubes
14. Global convergence properties of conjugate gradient methods for optimization
15. Elastic properties of carbon nanotubes and nanoropes
16. Mechanical deformation in carbon nanotubes- bent tubes vs tubes pushed by atomically sharp tips
17. Many-body forces in metals and the brugger elastic constants
18. Axially compressed buckling of a doublewalled carbon nanotube embedded in an elastic medium
19. Electronic structure of chiral graphene tubules
20. An adaptive finite element approach to atomic-scale mechanics - The quasicontinuum method
21. On a stress resultant geometrically exact shell model. Part I: Formulation and optimal parametrization
22. Continuum methods of mechanics as a simplified approach to structural engineering of nanostructures
23. Quasicontinuum analysis of defects in solids
24. Mixed finite element and atomistic formulation for complex crystals
25. Nanomechanics of carbon tubes: Instabilities beyond the linear response
26. Strength and breaking mechanism of multiwalled carbon nanotubes under tensile load
27. Structure and mechanical flexibility of carbon nanotube ribbons: An atomic-force microscopy study
28. Structural analysis of collapsed, and twisted and collapsed, multiwalled carbon nanotubes by atomic force microscopy
29. The Cauchy-Born hypothesis, nonlinear elasticity and mechanical twinning in crystals
30. Coil formation in multishell carbon nanotubes: Competition between curvature elasticity and interlayer adhesion
31. First-principles study on morphology and mechanical properties of single-walled carbon nanotube