The finite element absolute nodal coordinate formulation incorporated with surface stress effect to model elastic bending nanowires in large deformation

Computational Mechanics

Volumn 44, Issue 3, 2009, Pages 395-403

  He, Jin ^a   Lilley, Carmen M ^a  

^a University of Illinois at Chicago   (United States)

Author keywords

Absolute nodal coordinate formulation; Bending nanowires; Large deformation; Surface stress

Indexed keywords

DEFORMATION; ELASTICITY; FINITE ELEMENT METHOD; NANOWIRES; NUMERICAL METHODS; SURFACE PROPERTIES;

ABSOLUTE NODAL COORDINATE FORMULATION; BENDING STRUCTURES; ELASTIC BENDING; GENERALIZED YOUNG-LAPLACE EQUATIONS; STATIC BENDING; STIFFER MATERIALS; SURFACE STRESS; SURFACE STRESS EFFECTS;

BENDING (DEFORMATION);

EID: 67349127563     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-009-0380-9     Document Type: Article

References (23)

1. XL Feng RR He PD Yang ML Roukes 2007 Very high frequency silicon nanowire electromechanical resonators Nano Lett 7 7 1953 1959 (Pubitemid 47197573)
2. HG Craighead 2000 Nanoelectromechanical systems Science 290 5496 1532 1535
3. GY Jing HL Duan XM Sun ZS Zhang J Xu YD Li JX Wang DP Yu 2006 Surface effects on elastic properties of silver nanowires: contact atomic-force microscopy Phys Rev B 73 23 235409
4. SG Nilsson X Borrise L Montelius 2004 Size effect on Young's modulus of thin chromium cantilevers Appl Phys Lett 85 16 3555 3557
5. A Husain J Hone HWC Postma XMH Huang T Drake M Barbic A Scherer ML Roukes 2003 Nanowire-based very-high-frequency electromechanical resonator Appl Phys Lett 83 6 1240 1242
6. M Li TS Mayer JA Sioss CD Keating RB Bhiladvala 2007 Template-grown metal nanowires as resonators: performance and characterization of dissipative and elastic properties Nano Lett 7 11 3281 3284 (Pubitemid 350216016)
7. J He CM Lilley 2008 Surface effect on the elastic behavior of static bending nanowires Nano Lett 8 7 1798 1802
8. W Gao SW Yu GY Huang 2006 Finite element characterization of the size-dependent mechanical behavior in nanosystems Nanotechnology 17 1118 1122 (Pubitemid 43190513)
9. HS Park PA Klein GJ Wagner 2006 A surface Cauchy-Born model for nanoscale materials Int J Numer Method Eng 68 10 1072 1095 (Pubitemid 44842743)
10. Shabana AA (1996) An absolute nodal coordinate formulation for the large rotation and deformation analysis of flexible bodies. Technical Report MBS96-1-UIC, University of Illinois at Chicago, Chicago
11. LG Zhou HC Huang 2004 Are surfaces elastically softer or stiffer Appl Phys Lett 84 11 1940 1942
12. CJ Ji HS Park 2007 Characterizing the elasticity of hollow metal nanowires Nanotechnology 18 11 115707
13. CJ Ji HS Park 2007 The coupled effects of geometry and surface orientation on the mechanical properties of metal nanowires Nanotechnology 18 30 305704
14. HY Liang M Upmanyu HC Huang 2005 Size-dependent elasticity of nanowires: Nonlinear effects Phys Rev B 71 24 241403
15. AA Shabana RY Yakoub 2001 Three dimensional absolute nodal coordinate formulation for beam elements: theory J Mech Des 123 4 606 613 (Pubitemid 33716254)
16. RY Yakoub AA Shabana 2001 Three dimensional absolute nodal coordinate formulation for beam elements: Implementation and applications J Mech Des 123 4 614 621 (Pubitemid 33716255)
17. LG Maqueda OA Bauchau AA Shabana 2008 Effect of the centrifugal forces on the finite element eigenvalue solution of a rotating blade: a comparative study Multibody Syst Dyn 19 3 281 302 (Pubitemid 351304445)
18. JT Sopanen AM Mikkola 2003 Description of elastic forces in absolute nodal coordinate formulation Nonlinear Dyn 34 1-2 53 74
19. BA Hussein H Sugiyama AA Shabana 2007 Coupled deformation modes in the large deformation finite-element analysis: problem definition J Comput Nonlinear Dyn 2 146 154 (Pubitemid 46736211)
20. TY Chen MS Chiu CN Weng 2006 Derivation of the generalized Young-Laplace equation of curved interfaces in nanoscaled solids J Appl Phys 100 7 074308
21. J Wan YL Fan DW Gong SG Shen XQ Fan 1999 Surface relaxation and stress of fcc metals: Cu, Ag, Au, Ni, Pd, Pt, Al and Pb Model Simul Mater Sci Eng 7 2 189 206
22. YX Chen BL Dorgan DN McIlroy DE Aston 2006 On the importance of boundary conditions on nanomechanical bending behavior and elastic modulus determination of silver nanowires J Appl Phys 100 10 104301
23. S Cuenot C Fretigny S Demoustier-Champagne B Nysten 2004 Surface tension effect on the mechanical properties of nanomaterials measured by atomic force microscopy Phys Rev B 69 16 165410