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Volumn 200, Issue 5-8, 2011, Pages 614-625

Finite element model of ionic nanowires with size-dependent mechanical properties determined by ab initio calculations

Author keywords

Ab initio calculations; Nanowires; Size effects; Surface stress

Indexed keywords

AB INITIO CALCULATIONS; AB INITIO MODELS; ALN NANOWIRE; ANISOTROPIC SURFACES; ATOMISTIC MODELS; COMPUTATIONAL PROCEDURES; CONTINUUM MODEL; CRYSTALLINE NANOSTRUCTURE; ELASTIC COEFFICIENT; FINITE ELEMENT MODELS; FINITE ELEMENT PROCEDURE; FINITE-ELEMENT APPROACH; NANO-OBJECTS; PROJECTION OPERATOR; SIZE EFFECTS; SURFACE ELASTICITIES; SURFACE ELEMENTS; SURFACE ENERGIES; SURFACE STRESS; VARIATIONAL FORM;

EID: 78650679683     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2010.09.007     Document Type: Article
Times cited : (61)

References (75)
  • 1
    • 58149290194 scopus 로고    scopus 로고
    • Elasticity size effects in ZnO nanowires - a combined experimental-computational approach
    • Agrawal R., Peng B., Gdoutos E.E., Espinosa H.D. Elasticity size effects in ZnO nanowires - a combined experimental-computational approach. Nano Lett. 2008, 8(11):3668-3674.
    • (2008) Nano Lett. , vol.8 , Issue.11 , pp. 3668-3674
    • Agrawal, R.1    Peng, B.2    Gdoutos, E.E.3    Espinosa, H.D.4
  • 2
    • 0037461671 scopus 로고    scopus 로고
    • Field-effect transistors based on single semiconducting oxide nanobelts
    • Arnold M.S., Avouris P., Pan Z.W., Wang Z.L. Field-effect transistors based on single semiconducting oxide nanobelts. J. Phys. Chem. B 2003, 107:659-663.
    • (2003) J. Phys. Chem. B , vol.107 , pp. 659-663
    • Arnold, M.S.1    Avouris, P.2    Pan, Z.W.3    Wang, Z.L.4
  • 3
    • 0038444566 scopus 로고    scopus 로고
    • Dual-mode mechanical resonance of individual ZnO nanobelts
    • Bai X.D., Gao P.X., Wang Z.L., Wang E.G. Dual-mode mechanical resonance of individual ZnO nanobelts. Appl. Phys. Lett. 2003, 82:4806-4808.
    • (2003) Appl. Phys. Lett. , vol.82 , pp. 4806-4808
    • Bai, X.D.1    Gao, P.X.2    Wang, Z.L.3    Wang, E.G.4
  • 4
    • 84955314415 scopus 로고
    • On the stability of crystals
    • Born M. On the stability of crystals. Proc. Cambridge Philos. Soc. 1940, 36:160-172.
    • (1940) Proc. Cambridge Philos. Soc. , vol.36 , pp. 160-172
    • Born, M.1
  • 6
    • 0142011690 scopus 로고    scopus 로고
    • Full piezoelactric tensor of wurtzite and zinc blende ZnO and ZnS by first-principles calculations
    • Catti M., Noel Y., Dovesi R. Full piezoelactric tensor of wurtzite and zinc blende ZnO and ZnS by first-principles calculations. J. Phys. Chem. Solids 2003, 64:2183-2190.
    • (2003) J. Phys. Chem. Solids , vol.64 , pp. 2183-2190
    • Catti, M.1    Noel, Y.2    Dovesi, R.3
  • 8
    • 33749995482 scopus 로고    scopus 로고
    • Derivation of the generalized Young-Laplace equation of curved interfaces in nanoscaled solids
    • Chen T., Chiu M.-S., Weng C.-N. Derivation of the generalized Young-Laplace equation of curved interfaces in nanoscaled solids. J. Appl. Phys. 2006, 100:074308.
    • (2006) J. Appl. Phys. , vol.100 , pp. 074308
    • Chen, T.1    Chiu, M.-S.2    Weng, C.-N.3
  • 9
    • 55649083550 scopus 로고    scopus 로고
    • Mechanical material characterization of Co nanowires and their nanocomposites
    • Chen W.-H., Cheng H.-C., Hsu Y.-C., Uang R.-H., Hsu J.-S. Mechanical material characterization of Co nanowires and their nanocomposites. Compos. Sci. Technol. 2008, 68:2288-3395.
    • (2008) Compos. Sci. Technol. , vol.68 , pp. 2288-3395
    • Chen, W.-H.1    Cheng, H.-C.2    Hsu, Y.-C.3    Uang, R.-H.4    Hsu, J.-S.5
  • 10
    • 33748279455 scopus 로고    scopus 로고
    • Intrinsic characteristics of semi conducting oxide nanobelts field-effect transistors
    • Cheng Y., Xiong P., Fields L., Zheng J.P., Yang R.S., Wang Z.L. Intrinsic characteristics of semi conducting oxide nanobelts field-effect transistors. Appl. Phys. Lett. 2006, 89:093114.
    • (2006) Appl. Phys. Lett. , vol.89 , pp. 093114
    • Cheng, Y.1    Xiong, P.2    Fields, L.3    Zheng, J.P.4    Yang, R.S.5    Wang, Z.L.6
  • 11
    • 79956041295 scopus 로고    scopus 로고
    • Stable and highly sensitive gas sensors based on semiconducting oxide nanobelts
    • Comini E., Faglia G., Sberveglieri G., Pan Z.W., Wang Z.L. Stable and highly sensitive gas sensors based on semiconducting oxide nanobelts. Appl. Phys. Lett. 2002, 81:1869-1871.
    • (2002) Appl. Phys. Lett. , vol.81 , pp. 1869-1871
    • Comini, E.1    Faglia, G.2    Sberveglieri, G.3    Pan, Z.W.4    Wang, Z.L.5
  • 12
    • 0034711368 scopus 로고    scopus 로고
    • A nano electromechanical systems
    • Craighead H.G. A nano electromechanical systems. Science 2000, 290:1532-1535.
    • (2000) Science , vol.290 , pp. 1532-1535
    • Craighead, H.G.1
  • 13
    • 42749100529 scopus 로고    scopus 로고
    • Surface tension effect on the mechanical properties of nanomaterials measured by atomic force microscopy
    • Cuenot S., Frétigny C., Demoustier-Champagne S., Nysten B. Surface tension effect on the mechanical properties of nanomaterials measured by atomic force microscopy. Phys. Rev. B 2004, 69:165410.
    • (2004) Phys. Rev. B , vol.69 , pp. 165410
    • Cuenot, S.1    Frétigny, C.2    Demoustier-Champagne, S.3    Nysten, B.4
  • 14
    • 74249109100 scopus 로고    scopus 로고
    • Molecular dynamics simulation of ZnO nanowires: size effects, defects, and super ductility
    • Dai L., Cheong W.C.D., Sow C.H., Lim C.T., Tan V.B.C. Molecular dynamics simulation of ZnO nanowires: size effects, defects, and super ductility. Langmuir 2010, 26(2):1165-1171.
    • (2010) Langmuir , vol.26 , Issue.2 , pp. 1165-1171
    • Dai, L.1    Cheong, W.C.D.2    Sow, C.H.3    Lim, C.T.4    Tan, V.B.C.5
  • 15
    • 20444494915 scopus 로고    scopus 로고
    • Surface free energy its effects on the elastic behavior of nano-sized particles, wires and film
    • Dingreville R., Qu J., Cherkaoui M. Surface free energy its effects on the elastic behavior of nano-sized particles, wires and film. J. Mech. Phys. Solids 2005, 53:1827-1854.
    • (2005) J. Mech. Phys. Solids , vol.53 , pp. 1827-1854
    • Dingreville, R.1    Qu, J.2    Cherkaoui, M.3
  • 17
    • 18444401746 scopus 로고    scopus 로고
    • Size-dependent effective elastic constants of solids containing nano-inhomogeneities with interface stress
    • Duan H.L., Wang J., Huang Z.P., Karihaloo B.L. Size-dependent effective elastic constants of solids containing nano-inhomogeneities with interface stress. J. Mech. Phys. Solids 2005, 53(7):1574-1596.
    • (2005) J. Mech. Phys. Solids , vol.53 , Issue.7 , pp. 1574-1596
    • Duan, H.L.1    Wang, J.2    Huang, Z.P.3    Karihaloo, B.L.4
  • 19
    • 33748536441 scopus 로고    scopus 로고
    • A unified scheme for prediction of effective moduli of multiphase composites with interface effects. Part I: Theoretical framework
    • Duan H.L., Yi X., Huang Z.P., Wang J. A unified scheme for prediction of effective moduli of multiphase composites with interface effects. Part I: Theoretical framework. Mech. Mater. 2007, 39:81-95.
    • (2007) Mech. Mater. , vol.39 , pp. 81-95
    • Duan, H.L.1    Yi, X.2    Huang, Z.P.3    Wang, J.4
  • 22
    • 0000704470 scopus 로고
    • Pulay-type formula for surface stress in a local-density-functional, linear combination of atomic orbital, selectronic-structure calculation
    • Feibelman P.J. Pulay-type formula for surface stress in a local-density-functional, linear combination of atomic orbital, selectronic-structure calculation. Phys. Rev. B 1991, 44:3916-3925.
    • (1991) Phys. Rev. B , vol.44 , pp. 3916-3925
    • Feibelman, P.J.1
  • 23
    • 1842635971 scopus 로고    scopus 로고
    • Discrete-to-continuum bridging based on multigrid principles
    • Fish J., Chen W. Discrete-to-continuum bridging based on multigrid principles. Comput. Methods Appl. Mech. Engrg. 2004, 193:1693-1711.
    • (2004) Comput. Methods Appl. Mech. Engrg. , vol.193 , pp. 1693-1711
    • Fish, J.1    Chen, W.2
  • 24
    • 0001340639 scopus 로고
    • Crystal-field effects on the topological properties of the electron-density in molecular-crystals - The case of urea
    • Gatti C., Saunders V.R., Roetti C. Crystal-field effects on the topological properties of the electron-density in molecular-crystals - The case of urea. J. Chem. Phys. 1994, 101:10686-10696.
    • (1994) J. Chem. Phys. , vol.101 , pp. 10686-10696
    • Gatti, C.1    Saunders, V.R.2    Roetti, C.3
  • 25
    • 78650677518 scopus 로고    scopus 로고
    • Contributions to the modelling of imperfect interfaces and to the homogenization of heterogeneous materials, Ph.D. Thesis in French, Université Paris-Est, France
    • S.-T. Gu, Contributions to the modelling of imperfect interfaces and to the homogenization of heterogeneous materials, Ph.D. Thesis in French, Université Paris-Est, France, 2008.
    • (2008)
    • Gu, S.-T.1
  • 26
    • 0016441185 scopus 로고
    • Continuum theory of elastic-material surfaces
    • Gurtin M.E., Murdoch A.I. Continuum theory of elastic-material surfaces. Arch. Ration. Mech. Anal. 1975, 57(4):291-323.
    • (1975) Arch. Ration. Mech. Anal. , vol.57 , Issue.4 , pp. 291-323
    • Gurtin, M.E.1    Murdoch, A.I.2
  • 27
    • 65249103928 scopus 로고    scopus 로고
    • Theories of surface elasticity for nanoscale objects
    • Hamilton J.C., Wolfer W.G. Theories of surface elasticity for nanoscale objects. Surf. Sci. 2009, 603:1284-1291.
    • (2009) Surf. Sci. , vol.603 , pp. 1284-1291
    • Hamilton, J.C.1    Wolfer, W.G.2
  • 28
    • 33645504636 scopus 로고    scopus 로고
    • In situ mechanical properties of individual ZnO nanowires and the mass measurement of nanoparticles
    • Huang Y., Bai X., Zhang Y. In situ mechanical properties of individual ZnO nanowires and the mass measurement of nanoparticles. J. Phys.: Condens. Matter 2006, 18:L179-L184.
    • (2006) J. Phys.: Condens. Matter , vol.18
    • Huang, Y.1    Bai, X.2    Zhang, Y.3
  • 29
    • 0038636033 scopus 로고    scopus 로고
    • Nanobelts as nanocantilevers
    • Hughes W.L., Wang Z.L. Nanobelts as nanocantilevers. Appl. Phys. Lett. 2003, 82:2886-2888.
    • (2003) Appl. Phys. Lett. , vol.82 , pp. 2886-2888
    • Hughes, W.L.1    Wang, Z.L.2
  • 30
    • 78650677007 scopus 로고
    • Anisotripic thermal expansion in wurtzite-type crystals
    • Iwanaga H., Kunishige A., Takeuchi S. Anisotripic thermal expansion in wurtzite-type crystals. Phys. Rev. B 1981, 24:5634.
    • (1981) Phys. Rev. B , vol.24 , pp. 5634
    • Iwanaga, H.1    Kunishige, A.2    Takeuchi, S.3
  • 32
    • 64749094700 scopus 로고    scopus 로고
    • A finite element framework for continua with boundary energies. Part I: The two-dimensional case
    • Javili A., Steinmann P. A finite element framework for continua with boundary energies. Part I: The two-dimensional case. Comput. Methods Appl. Mech. Engrg. 2009, 198:2198-2208.
    • (2009) Comput. Methods Appl. Mech. Engrg. , vol.198 , pp. 2198-2208
    • Javili, A.1    Steinmann, P.2
  • 33
    • 73449106075 scopus 로고    scopus 로고
    • A finite element framework for continua with boundary energies. Part II: The three-dimensional case
    • Javili A., Steinmann P. A finite element framework for continua with boundary energies. Part II: The three-dimensional case. Comput. Methods Appl. Mech. Engrg. 2010, 199:755-765.
    • (2010) Comput. Methods Appl. Mech. Engrg. , vol.199 , pp. 755-765
    • Javili, A.1    Steinmann, P.2
  • 34
    • 34347378444 scopus 로고    scopus 로고
    • Size-dependent effective thermoelastic properties of nanocomposites with spherically anisotropic, phases
    • Le Quang H., He Q.-C. Size-dependent effective thermoelastic properties of nanocomposites with spherically anisotropic, phases. J. Mech. Phys. Solids 2007, 55(9):1899-1931.
    • (2007) J. Mech. Phys. Solids , vol.55 , Issue.9 , pp. 1899-1931
    • Le Quang, H.1    He, Q.-C.2
  • 35
    • 65249190722 scopus 로고    scopus 로고
    • Size effects of the bending stiffness of nanowires
    • Li X.-F., Wang B.-L., Lee K.Y. Size effects of the bending stiffness of nanowires. J. Appl. Phys. 2009, 105:074306.
    • (2009) J. Appl. Phys. , vol.105 , pp. 074306
    • Li, X.-F.1    Wang, B.-L.2    Lee, K.Y.3
  • 36
    • 0032493571 scopus 로고    scopus 로고
    • One-dimensional nanostructures: chemistry, physics and applications
    • Lieber C.M. One-dimensional nanostructures: chemistry, physics and applications. Solid State Commun. 1998, 107:607-616.
    • (1998) Solid State Commun. , vol.107 , pp. 607-616
    • Lieber, C.M.1
  • 37
    • 70249094262 scopus 로고    scopus 로고
    • Atomistic determination of exoelectric properties of crystalline dielectrics
    • Maranganti R., Sharma P. Atomistic determination of exoelectric properties of crystalline dielectrics. Phys. Rev. B 2009, 80:054109.
    • (2009) Phys. Rev. B , vol.80 , pp. 054109
    • Maranganti, R.1    Sharma, P.2
  • 38
    • 0034276389 scopus 로고    scopus 로고
    • Size-dependent elastic properties of nanosized structural elements
    • Miller R.E., Shenoy V.B. Size-dependent elastic properties of nanosized structural elements. Nanotechnology 2000, 11:139-147.
    • (2000) Nanotechnology , vol.11 , pp. 139-147
    • Miller, R.E.1    Shenoy, V.B.2
  • 42
    • 33846877365 scopus 로고    scopus 로고
    • Surface Cauchy-Born analysis of surface stress effects on metallic nanowires
    • Park H.S., Klein P.A. Surface Cauchy-Born analysis of surface stress effects on metallic nanowires. Phys. Rev. B 2007, 75:085408.
    • (2007) Phys. Rev. B , vol.75 , pp. 085408
    • Park, H.S.1    Klein, P.A.2
  • 43
    • 47749136621 scopus 로고    scopus 로고
    • Strain sensing through the resonant properties of deformed metal nanowires
    • Park H.S. Strain sensing through the resonant properties of deformed metal nanowires. J. Appl. Phys. 2008, 104:013516.
    • (2008) J. Appl. Phys. , vol.104 , pp. 013516
    • Park, H.S.1
  • 44
    • 48149113261 scopus 로고    scopus 로고
    • A surface Cauchy-Born model for silicon nanostructures
    • Park H.S., Klein P.A. A surface Cauchy-Born model for silicon nanostructures. Comput. Methods Appl. Mech. Engrg. 2008, 197:3249-3260.
    • (2008) Comput. Methods Appl. Mech. Engrg. , vol.197 , pp. 3249-3260
    • Park, H.S.1    Klein, P.A.2
  • 46
    • 56349120336 scopus 로고    scopus 로고
    • First-principles studies of the electronic and mechanical properties of ZnO nanobelts with different dominant surfaces
    • Qi J., Shi D., Jia J. First-principles studies of the electronic and mechanical properties of ZnO nanobelts with different dominant surfaces. Nanotechnology 2008, 19:435707.
    • (2008) Nanotechnology , vol.19 , pp. 435707
    • Qi, J.1    Shi, D.2    Jia, J.3
  • 48
    • 0001259264 scopus 로고    scopus 로고
    • Coarse-grained molecular dynamics and the atomic limit of finite elements
    • Rudd R.E., Broughton J.Q. Coarse-grained molecular dynamics and the atomic limit of finite elements. Phys. Rev. B 1998, 58:5893-5896.
    • (1998) Phys. Rev. B , vol.58 , pp. 5893-5896
    • Rudd, R.E.1    Broughton, J.Q.2
  • 49
    • 32844471516 scopus 로고    scopus 로고
    • Design and modeling of a MEMS pico-Newton loading/sensing device
    • Samuel B.A., Desai A.V., Haque M.A. Design and modeling of a MEMS pico-Newton loading/sensing device. Sens. Actuators A 2006, 127(1):155-162.
    • (2006) Sens. Actuators A , vol.127 , Issue.1 , pp. 155-162
    • Samuel, B.A.1    Desai, A.V.2    Haque, M.A.3
  • 50
    • 55649101199 scopus 로고    scopus 로고
    • Nickel nanowires under uniaxial loads: a molecular dynamics simulation study
    • Sethoodeh A.R., Attariani H., Khosrownejad M. Nickel nanowires under uniaxial loads: a molecular dynamics simulation study. Comput. Mater. Sci. 2008, 44:378-384.
    • (2008) Comput. Mater. Sci. , vol.44 , pp. 378-384
    • Sethoodeh, A.R.1    Attariani, H.2    Khosrownejad, M.3
  • 51
    • 27544491724 scopus 로고    scopus 로고
    • Polymer nanowire elastic moduli measured with digital pulsed force mode AFM
    • Shanmugham S., Jeong J., Alkhateeb A., Aston D.E. Polymer nanowire elastic moduli measured with digital pulsed force mode AFM. Langmuir 2005, 21:10214-10218.
    • (2005) Langmuir , vol.21 , pp. 10214-10218
    • Shanmugham, S.1    Jeong, J.2    Alkhateeb, A.3    Aston, D.E.4
  • 52
    • 0037467961 scopus 로고    scopus 로고
    • Effects of surface on the size-dependent elastic state of nano-inhomogeneities
    • Sharma P., Ganti S., Bhate N. Effects of surface on the size-dependent elastic state of nano-inhomogeneities. Appl. Phys. Lett. 2003, 82:535-537.
    • (2003) Appl. Phys. Lett. , vol.82 , pp. 535-537
    • Sharma, P.1    Ganti, S.2    Bhate, N.3
  • 53
    • 12344309296 scopus 로고    scopus 로고
    • Size-dependent Eshelby's tensor for embedded nano-inclusions incorporating surface/interface energies
    • Sharma P., Ganti S. Size-dependent Eshelby's tensor for embedded nano-inclusions incorporating surface/interface energies. ASME J. Appl. Mech. 2004, 71:663-671.
    • (2004) ASME J. Appl. Mech. , vol.71 , pp. 663-671
    • Sharma, P.1    Ganti, S.2
  • 54
    • 20344388281 scopus 로고    scopus 로고
    • Atomistic calculations of elastic properties of metallic fcc crystal surfaces
    • Shenoy V.B. Atomistic calculations of elastic properties of metallic fcc crystal surfaces. Phys. Rev. B 2005, 71:094104.
    • (2005) Phys. Rev. B , vol.71 , pp. 094104
    • Shenoy, V.B.1
  • 55
    • 0037083928 scopus 로고    scopus 로고
    • Toughening of a brittle thermosetting polymer: effects of reinforcement particle size and volume fraction
    • Singh R.P., Zhang M., Chan D. Toughening of a brittle thermosetting polymer: effects of reinforcement particle size and volume fraction. J. Mater. Sci. 2002, 37:781-788.
    • (2002) J. Mater. Sci. , vol.37 , pp. 781-788
    • Singh, R.P.1    Zhang, M.2    Chan, D.3
  • 56
    • 27544478223 scopus 로고    scopus 로고
    • Elastic properties of vertically aligned nanowires
    • Song J., Wang X., Riedo E., Wang Z.L. Elastic properties of vertically aligned nanowires. Nano Lett. 2005, 5(10):1954-1958.
    • (2005) Nano Lett. , vol.5 , Issue.10 , pp. 1954-1958
    • Song, J.1    Wang, X.2    Riedo, E.3    Wang, Z.L.4
  • 57
    • 0001473461 scopus 로고
    • The Cauchy relations in a molecular theory of elasticity
    • Stakgold I. The Cauchy relations in a molecular theory of elasticity. Quart. Appl. Mech. 1950, 8:169-186.
    • (1950) Quart. Appl. Mech. , vol.8 , pp. 169-186
    • Stakgold, I.1
  • 58
    • 0030158774 scopus 로고    scopus 로고
    • Quasicontinuum analysis of defects in solids
    • Tadmor E., Ortiz M., Phillips R. Quasicontinuum analysis of defects in solids. Philos. Mag. A 1996, 73:1529-1563.
    • (1996) Philos. Mag. A , vol.73 , pp. 1529-1563
    • Tadmor, E.1    Ortiz, M.2    Phillips, R.3
  • 59
    • 35348828616 scopus 로고    scopus 로고
    • Finite element modelling of nanoscale inhomogeneities in an elastic matrix
    • Tian L., Rajapakse R.K.N.D. Finite element modelling of nanoscale inhomogeneities in an elastic matrix. Comput. Mater. Sci. 2007, 41:44-53.
    • (2007) Comput. Mater. Sci. , vol.41 , pp. 44-53
    • Tian, L.1    Rajapakse, R.K.N.D.2
  • 60
    • 0042858270 scopus 로고    scopus 로고
    • Coupling of atomistic and continuum simulations using a bridging scale decomposition
    • Wagner G.J., Liu W.K. Coupling of atomistic and continuum simulations using a bridging scale decomposition. J. Comput. Phys. 2003, 190:249-274.
    • (2003) J. Comput. Phys. , vol.190 , pp. 249-274
    • Wagner, G.J.1    Liu, W.K.2
  • 61
    • 34147113273 scopus 로고    scopus 로고
    • Coupling of atomistic and continuum
    • Wang X., Song J., Liu J., Wang Z.L. Coupling of atomistic and continuum. Science 2007, 316:102.
    • (2007) Science , vol.316 , pp. 102
    • Wang, X.1    Song, J.2    Liu, J.3    Wang, Z.L.4
  • 63
    • 58149213852 scopus 로고    scopus 로고
    • Predicting Young's modulus of nanowires from first-principles calculations on their surface and bulk materials
    • Wang G., Li X. Predicting Young's modulus of nanowires from first-principles calculations on their surface and bulk materials. J. Appl. Phys. 2008, 104:113517.
    • (2008) J. Appl. Phys. , vol.104 , pp. 113517
    • Wang, G.1    Li, X.2
  • 64
    • 31944448382 scopus 로고    scopus 로고
    • Finite element characterization of the size-dependent mechanical behaviour in nanosystems
    • Wei G., Shouwen Y., Ganyun H. Finite element characterization of the size-dependent mechanical behaviour in nanosystems. Nanotechnology 2006, 17:1118-1122.
    • (2006) Nanotechnology , vol.17 , pp. 1118-1122
    • Wei, G.1    Shouwen, Y.2    Ganyun, H.3
  • 66
    • 0141510585 scopus 로고    scopus 로고
    • Large-scale hierarchical organization of nanowire arrays for integrated nanosystems
    • Whang D., Jim S., Wu Y., Lieber C.H. Large-scale hierarchical organization of nanowire arrays for integrated nanosystems. Nano Lett. 2003, 3(9):1255-1259.
    • (2003) Nano Lett. , vol.3 , Issue.9 , pp. 1255-1259
    • Whang, D.1    Jim, S.2    Wu, Y.3    Lieber, C.H.4
  • 67
    • 0030800875 scopus 로고    scopus 로고
    • Nanobeam mechanics: elasticity, strength, and toughening of nanorods and nanotubes
    • Wong E.W., Sheehan P.E., Lieber C.M. Nanobeam mechanics: elasticity, strength, and toughening of nanorods and nanotubes. Science 1997, 277:1971-1975.
    • (1997) Science , vol.277 , pp. 1971-1975
    • Wong, E.W.1    Sheehan, P.E.2    Lieber, C.M.3
  • 68
    • 42749097273 scopus 로고    scopus 로고
    • An atomistic-continuum inhomogeneous material model for the elastic bending of metal nanocantilevers
    • Wu H.A., Wang X.X. An atomistic-continuum inhomogeneous material model for the elastic bending of metal nanocantilevers. Adv. Engrg. Softw. 2008, 39:764-769.
    • (2008) Adv. Engrg. Softw. , vol.39 , pp. 764-769
    • Wu, H.A.1    Wang, X.X.2
  • 69
  • 70
    • 1842686579 scopus 로고    scopus 로고
    • A bridging domain method for coupling continua with molecular dynamics
    • Xiao S.P., Belytschko T. A bridging domain method for coupling continua with molecular dynamics. Comput. Methods Appl. Mech. Engrg. 2004, 193:1654-1669.
    • (2004) Comput. Methods Appl. Mech. Engrg. , vol.193 , pp. 1654-1669
    • Xiao, S.P.1    Belytschko, T.2
  • 71
    • 43049156200 scopus 로고    scopus 로고
    • An XFEM/level set approach to modelling surface/interface effects and to computing the size-dependent effective properties of nanocomposites
    • Yvonnet J., Le Quang H., He Q.-C. An XFEM/level set approach to modelling surface/interface effects and to computing the size-dependent effective properties of nanocomposites. Comput. Mech. 2008, 42:704-712.
    • (2008) Comput. Mech. , vol.42 , pp. 704-712
    • Yvonnet, J.1    Le Quang, H.2    He, Q.-C.3
  • 73
    • 44649155666 scopus 로고    scopus 로고
    • Size-dependent surface stress, surface, stiffness and Young's modulus of hexagonal prism [111] β-SiC nanowires
    • Zhang T.-Y., Luo M., Chan W.K. Size-dependent surface stress, surface, stiffness and Young's modulus of hexagonal prism [111] β-SiC nanowires. J. Appl. Phys. 2008, 103:104308.
    • (2008) J. Appl. Phys. , vol.103 , pp. 104308
    • Zhang, T.-Y.1    Luo, M.2    Chan, W.K.3


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