On the mechanics of deformation and stability of the beam with a nanocoating

Journal of Reinforced Plastics and Composites

Volumn 30, Issue 18, 2011, Pages 1583-1595

  Alizada, A N ^a   Sofiyev, A H ^b  

^a AZERBAIJAN STATE MARINE ACADEMY   (Azerbaijan)

^b SULEYMAN DEMIREL UNIVERSITY   (Turkey)

Author keywords

beam; critical load parameter; deformation; nanocoating; stability

Indexed keywords

BEAM; CRITICAL LOAD PARAMETER; ELASTIC BEAM; ELASTIC LAYERS; HOOK'S LAW; LOAD PARAMETERS; NANO-COATINGS; NANOMATERIAL; SECOND LAYER; STABILITY EQUATIONS; TENSILE LOADS;

AXIAL COMPRESSION; AXIAL LOADS; CONVERGENCE OF NUMERICAL METHODS; DEFORMATION; HYDROELASTICITY;

STABILITY;

EID: 83455211134     PISSN: 07316844     EISSN: 15307964     Source Type: Journal    
DOI: 10.1177/0731684411428382     Document Type: Article

References (36)

1. Subramanian C, Strafford KN. Review of multicomponent and multilayer coatings for tribological applications. Wear. 1993 ; 165: 85-95
2. Luo JF, Liu YJ, Berger EJ. Interfacial stress analysis for multicoating systems using an advanced boundary element method. Comput Mech. 2000 ; 24: 448-455 (Pubitemid 30548303)
3. Kim JJ, Marzouk HA, Eloi CC, Robertson JD. Effect of water vapor on the nucleation and growth of chemical vapor deposited copper films on spin-coated polyamide. J Appl Phys. 1995 ; 78: 245-245
4. Renault PO, Bourhis EL, Villain P, Goudeau P, Badawi KF, Faurie D. Measurement of the elastic constants of textured anisotropic thin films from x-ray diffraction data. Appl Phys Lett. 2003 ; 83: 473-473
5. Li XX, Ono T, Wang YL, Esashi M. Ultrathin single-crystalline-silicon cantilever resonators: fabrication technology and significant specimen size effect on Young's modulus. Appl Phys Lett. 2003 ; 83: 3081-3081
6. Liew KM, He XQ, Wong CH. On the study of elastic and plastic properties of multi-walled carbon nanotubes under axial tension using molecular dynamics simulation. Acta Mater. 2004 ; 52: 2521-2527
7. Batra RC, Sears A. Uniform radial expansion/contraction of carbon nanotubes and their transverse elastic moduli. Modelling Simul Mater Sci Eng. 2007 ; 15: 835-844 (Pubitemid 350159128)
8. Bennani HH, Takadoum J. Finite element model of elastic stresses in thin coatings submitted to applied forces. Surf Coatings Technol. 1999 ; 111: 80-85 (Pubitemid 32623964)
9. Bialas M. Finite element analysis of stress distribution in thermal barrier coatings. Surf Coatings Technol. 2008 ; 202: 6002-6010
10. Kadkhodapour J, Ziaei-Rad S, Karimzadeh F. Finite-element modeling of rate dependent mechanical properties in nano-crystalline materials. Comput Mater Sci. 2009 ; 451: 113-124
11. Ranjbar-Far M, Absi J, Mariaux G, Dubois F. Simulation of the effect of material properties and interface roughness on the stress distribution in thermal barrier coatings using finite element method. Mater Des. 2010 ; 31: 772-781
12. Zhang YM, Gu Y, Chen JT. Stress analysis for multilayered coating systems using semi-analytical BEM with geometric non-linearities. Comput Mech. 2011 ; 47: 493-504
13. Du F, Lovell MR, Wu TW. Boundary element method analysis of temperature fields in coated cutting tools. Int J Solids Struct. 2000 ; 38: 4557-4570
14. Chen XL, Liu YJ. Thermal stress analysis of multi-layer thin films and coatings by an advanced boundary element method. Comput Model Eng Sci. 2001 ; 2: 337-349
15. Miller RE, Shenoy VB. Size-dependent elastic properties of nanosized structural elements. Nanotechnology. 2000 ; 11: 139-147
16. Krivtsov AM, Morozov NF. Anomalies in mechanical characteristics of nanoscale objects. Doklady Russian Acad Sci (RAN). 2001 ; 381: 825-827
17. Sun CT, Haitao Z. Size-dependent elastic moduli of plate-like nanomaterials. J Appl Phys. 2002 ; 93: 1212-1218
18. Ivanova EA, Krivtsov AM, Morozov NF. Bending stiffness calculation for nanosize structures. Fatigue Fract Eng Mater Struct. 2002 ; 26: 715-718
19. Loboda OS, Krivtsov AM Proceedings of XXXII International Summer School-Conference Advanced Problems in Mechanics APM'2004. Russia: Saint Petersburg (Repino) ; 2004: 268-273.
20. Goldstein RV, Morozov NF. Mechanics of deformation and fracture of nanomaterials and nanotechnology. Phys Mesomech. 2007 ; 10: 235-246
21. Wang J, Huang QA, Yu H. Size and temperature dependence of Young's modulus of a silicon nano-plate. J Phys D Appl Phys. 2008 ; 41: 1-5
22. Alizada AN, Sofiyev AH. Modified Young's moduli of nanomaterials taking into account the scale effects and vacancies. Meccanica. 2011 ; 46: 915-920
23. Yakobson BI, Brabec CJ, Bernholc J. Nanomechanics of carbon tubes: instability beyond linear response. Phys Rev Lett. 1996 ; 76: 2511-2514
24. Ru CQ. Elastic buckling of single-walled carbon nanotube ropes under high pressure. Phys Rev B. 2000 ; 62: 10405-10408 (Pubitemid 32332505)
25. Ru CQ. Axially compressed buckling of a doublewalled carbon nanotube embedded in an elastic medium. J Mech Phys Solids. 2001 ; 49: 1265-1279 (Pubitemid 32421470)
26. Yoon J, Ru CQ, Mioduchowski A. Vibration of an embedded multiwalled carbon nanotube. Compos Sci Technol. 2003 ; 63: 1533-1542 (Pubitemid 36906668)
27. Wang X, Yang HK. Bending stability of multiwalled carbon nanotubes. Phys Rev B. 2006 ; 73: 085409-085409
28. Shen HS. Postbuckling prediction of double-walled carbon nanotubes under hydrostatic pressure. Int J Solids Struct. 2004 ; 41: 2643-2657
29. Waters JF, Riester L, Jouzi M, Guduru PR, Xu JM. Buckling instabilities in multiwalled carbon nanotubes under uniaxial compression. Appl Phys Lett. 2004 ; 85: 1787-1789
30. He XQ, Kitipornchai S, Liew KM. Buckling analysis of multi-walled carbon nanotubes: a continuum model accounting for van der Waals interaction. J Mech Phys Solid. 2005 ; 53: 303-326 (Pubitemid 40003149)
31. Sears A, Batra RC. Buckling of carbon nanotubes under axial compression. Phys Rev B. 2006 ; 73: 085410-085410
32. Yang HK, Wang X. Torsional buckling of multi-wall carbon nanotubes embedded in an elastic medium. Compos Struct. 2007 ; 77: 182-192 (Pubitemid 44405365)
33. Wernik JM, Meguid SA. Atomistic-based continuum modeling of the nonlinear behavior of carbon nanotubes. Acta Mech. 2010 ; 212: 167-179
34. Shen HS, Zhang CL. Torsional buckling and postbuckling of double-walled carbon nanotubes by nonlocal shear deformable shell model. Compos Struct. 2010 ; 92: 1073-1084
35. Wang CM, Reddy JN, Lee KH Shear deformable beams and plates. Oxford, U.K: Elsevier ; 2000 :
36. Akbulut H, Sayman O. An investigation on buckling of laminated plates with central square hole. J Reinforc Plast Compos. 2001 ; 20: 1112-1124 (Pubitemid 33046264)