메뉴 건너뛰기




Volumn 16, Issue 5, 2014, Pages 1389-1418

Feature-scale simulations of particulate slurry flows in chemical mechanical polishing by smoothed particle hydrodynamics

Author keywords

Abrasive concentration; Chemical mechanical polishing; Particulate flow; Rough pad; Smoothed particle hydrodynamics; Wafer defects

Indexed keywords


EID: 84907208267     PISSN: 18152406     EISSN: 19917120     Source Type: Journal    
DOI: 10.4208/cicp.261213.030614a     Document Type: Article
Times cited : (7)

References (72)
  • 1
    • 4544373838 scopus 로고    scopus 로고
    • Chemicalmechanical planarization formicroelectronics applications
    • P. B. Zantye, A. Kumar, A. K. Sikder, Chemicalmechanical planarization formicroelectronics applications, Mat. Sci. Eng. R 45 (2004) 89-220.
    • (2004) Mat. Sci. Eng. R , vol.45 , pp. 89-220
    • Zantye, P.B.1    Kumar, A.2    Sikder, A.K.3
  • 2
    • 0032674817 scopus 로고    scopus 로고
    • Effect of particle size during tungsten chemical mechanical polishing
    • M. Bielmann, U. Mahajan, R. K. Singh, Effect of particle size during tungsten chemical mechanical polishing, Electrochem. Solid State Lett. 2 (8) (1999) 401-403.
    • (1999) Electrochem. Solid State Lett. , vol.2 , Issue.8 , pp. 401-403
    • Bielmann, M.1    Mahajan, U.2    Singh, R.K.3
  • 3
    • 0034275460 scopus 로고    scopus 로고
    • Effect of particle size of chemicalmechanical polishing slurries for enhanced polishing withminimal defects
    • G. B. Basim, J. J. Adler, U. Mahajan, R. K. Singh, B. M. Moudgil, Effect of particle size of chemicalmechanical polishing slurries for enhanced polishing withminimal defects, J. Electrochem. Soc. 147 (9) (2000) 3523-3528.
    • (2000) J. Electrochem. Soc. , vol.147 , Issue.9 , pp. 3523-3528
    • Basim, G.B.1    Adler, J.J.2    Mahajan, U.3    Singh, R.K.4    Moudgil, B.M.5
  • 4
    • 0036074175 scopus 로고    scopus 로고
    • Influence of colloidal abrasive size on material removal rate and surface finish in SiO2 chemical mechanical polishing
    • C. Zhou, L. Shan, J. R. Hight, S. Danyluk, S. H. Ng, A. J. Paszkowskic, Influence of colloidal abrasive size on material removal rate and surface finish in SiO2 chemical mechanical polishing, Tribol. Trans. 45 (2) (2002) 232-238.
    • (2002) Tribol. Trans. , vol.45 , Issue.2 , pp. 232-238
    • Zhou, C.1    Shan, L.2    Hight, J.R.3    Danyluk, S.4    Ng, S.H.5    Paszkowskic, A.J.6
  • 5
    • 39549086121 scopus 로고    scopus 로고
    • Colloid aspects of chemical-mechanical planarization
    • E. Matijević, S. V. Babu, Colloid aspects of chemical-mechanical planarization, J. Colloid Interface Sci. 320 (2008) 219-237.
    • (2008) J. Colloid Interface Sci. , vol.320 , pp. 219-237
    • Matijević, E.1    Babu, S.V.2
  • 6
    • 0001611894 scopus 로고
    • The theory and design of plate glass polishing machines
    • F.W. Preston, The theory and design of plate glass polishing machines, J. Soc. Glass Technol. 11 (1927) 214-257.
    • (1927) J. Soc. Glass Technol. , vol.11 , pp. 214-257
    • Preston, F.W.1
  • 7
    • 0028444787 scopus 로고
    • Tribology analysis of chemical-mechanical polishing
    • S. R. Runnels, L. M. Eyman, Tribology analysis of chemical-mechanical polishing, J. Electrochem. Soc. 141 (6) (1994) 1698-1701.
    • (1994) J. Electrochem. Soc. , vol.141 , Issue.6 , pp. 1698-1701
    • Runnels, S.R.1    Eyman, L.M.2
  • 8
    • 0032661328 scopus 로고    scopus 로고
    • Contactmechanics and lubrication hydrodynamics of chemical mechanical polishing
    • J. Tichy, J. A. Levert, L. Shan, S. Danyluk, Contactmechanics and lubrication hydrodynamics of chemical mechanical polishing, J. Electrochem. Soc. 146 (4) (1999) 1523-1528.
    • (1999) J. Electrochem. Soc. , vol.146 , Issue.4 , pp. 1523-1528
    • Tichy, J.1    Levert, J.A.2    Shan, L.3    Danyluk, S.4
  • 9
    • 0033077224 scopus 로고    scopus 로고
    • Twodimensional wafer-scale chemical mechanical planarization models based on lubrication theory and mass transport
    • S. Sundararajan, D. G. Thakurta, D. W. Schwendeman, S. P. Murarka, W. N. Gill, Twodimensional wafer-scale chemical mechanical planarization models based on lubrication theory and mass transport, J. Electrochem. Soc. 146 (2) (1999) 761-766.
    • (1999) J. Electrochem. Soc. , vol.146 , Issue.2 , pp. 761-766
    • Sundararajan, S.1    Thakurta, D.G.2    Schwendeman, D.W.3    Murarka, S.P.4    Gill, W.N.5
  • 10
    • 0028465918 scopus 로고
    • Freature-scale fluid-based erosion modeling for chemical-mechanical polishing
    • S. R. Runnels, Freature-scale fluid-based erosion modeling for chemical-mechanical polishing, J. Electrochem. Soc. 141 (7) (1994) 1900-1904.
    • (1994) J. Electrochem. Soc. , vol.141 , Issue.7 , pp. 1900-1904
    • Runnels, S.R.1
  • 11
    • 0033741051 scopus 로고    scopus 로고
    • Contact mechanics and lubrication hydrodynamics of chemical mechanical polishing
    • C.-H. Yao, D. L. Feke, K. M. Robinson, S. Meikle, Contact mechanics and lubrication hydrodynamics of chemical mechanical polishing, J. Electrochem. Soc. 147 (4) (2000) 1502-1512.
    • (2000) J. Electrochem. Soc. , vol.147 , Issue.4 , pp. 1502-1512
    • Yao, C.-H.1    Feke, D.L.2    Robinson, K.M.3    Meikle, S.4
  • 12
    • 47849097952 scopus 로고    scopus 로고
    • Modeling and simulation of material removal with particulate flows
    • D. Arbelaez, T. I. Zohdi, D. A. Dornfeld, Modeling and simulation of material removal with particulate flows, Comput. Mech. 42 (5) (2008) 749-759.
    • (2008) Comput. Mech. , vol.42 , Issue.5 , pp. 749-759
    • Arbelaez, D.1    Zohdi, T.I.2    Dornfeld, D.A.3
  • 13
    • 0036699099 scopus 로고    scopus 로고
    • Fluid pressure and its effects on chemical mechanical polishing
    • C. Zhou, L. Shan, J. R. Hight, S.H. Ng, S. Danyluk, Fluid pressure and its effects on chemical mechanical polishing, Wear 253 (2002) 430-437.
    • (2002) Wear , vol.253 , pp. 430-437
    • Zhou, C.1    Shan, L.2    Hight, J.R.3    Ng, S.H.4    Danyluk, S.5
  • 15
    • 84863124037 scopus 로고    scopus 로고
    • In situ measurement of fluid pressure at the wafer-pad interface during chemical mechanical polishing of 12-inch wafer
    • D. Zhao, Y. He, X. Lu, In situ measurement of fluid pressure at the wafer-pad interface during chemical mechanical polishing of 12-inch wafer, J. Electrochem. Soc. 159 (1) (2012) H22-H28.
    • (2012) J. Electrochem. Soc. , vol.159 , Issue.1 , pp. H22-H28
    • Zhao, D.1    He, Y.2    Lu, X.3
  • 16
    • 33646388258 scopus 로고    scopus 로고
    • Hydrodynamics of slurry flow in chemical mechanical polishing
    • E. J. Terrell, C. F. Higgs III, Hydrodynamics of slurry flow in chemical mechanical polishing, J. Electrochem. Soc. 153 (6) (2006) K15-K22.
    • (2006) J. Electrochem. Soc. , vol.153 , Issue.6 , pp. K15-K22
    • Terrell, E.J.1    Higgs, C.F.2
  • 17
    • 0034292028 scopus 로고    scopus 로고
    • Hydrodynamic analysis of chemical mechanical polishing process
    • S.-S. Park, C.-H. Cho, Y. Ahn, Hydrodynamic analysis of chemical mechanical polishing process, Tribol. Int. 33 (2000) 723-730.
    • (2000) Tribol. Int. , vol.33 , pp. 723-730
    • Park, S.-S.1    Cho, C.-H.2    Ahn, Y.3
  • 20
    • 8344250968 scopus 로고    scopus 로고
    • Novel interpretations of CMP removal rate dependencies on slurry particle size and concentration
    • D. Tamboli, G. Banerjee, M. Waddell, Novel interpretations of CMP removal rate dependencies on slurry particle size and concentration, Electrochem. Solid State Lett. 7 (10) (2004) F62-F65.
    • (2004) Electrochem. Solid State Lett. , vol.7 , Issue.10 , pp. F62-F65
    • Tamboli, D.1    Banerjee, G.2    Waddell, M.3
  • 21
    • 77955518661 scopus 로고    scopus 로고
    • Effect of abrasive particle concentration on preliminary chemical mechanical polishing of glass substrate
    • Z. Zhang, W. Liu, Z. Song, Effect of abrasive particle concentration on preliminary chemical mechanical polishing of glass substrate, Microelectron. Eng. 87 (2010) 2168-2172.
    • (2010) Microelectron. Eng. , vol.87 , pp. 2168-2172
    • Zhang, Z.1    Liu, W.2    Song, Z.3
  • 22
    • 0000172773 scopus 로고    scopus 로고
    • A model of chemical mechanical polishing
    • E. Paul, A model of chemical mechanical polishing, J. Electrochem. Soc. 148 (6) (2001) G355-G358.
    • (2001) J. Electrochem. Soc. , vol.148 , Issue.6 , pp. G355-G358
    • Paul, E.1
  • 23
    • 15044360806 scopus 로고    scopus 로고
    • A material removal rate model considering interfacialmicro-contact wear behaviour for chemical mechanical polishing
    • Y.-R. Jeng, P.-Y. Huang, A material removal rate model considering interfacialmicro-contact wear behaviour for chemical mechanical polishing, J. Tribol.-Trans. ASME 127 (2005) 190-197.
    • (2005) J. Tribol.-Trans. ASME , vol.127 , pp. 190-197
    • Jeng, Y.-R.1    Huang, P.-Y.2
  • 24
    • 77955514284 scopus 로고    scopus 로고
    • Modeling effects of abrasive particle size and concentration on material removal at molecular scale in chemical mechanical polishing
    • Y. Wang, Y. Zhao, W. An, Z. Ni, J. Wang, Modeling effects of abrasive particle size and concentration on material removal at molecular scale in chemical mechanical polishing, Appl. Surf. Sci. 257 (2010) 249-253.
    • (2010) Appl. Surf. Sci. , vol.257 , pp. 249-253
    • Wang, Y.1    Zhao, Y.2    An, W.3    Ni, Z.4    Wang, J.5
  • 25
    • 0037347678 scopus 로고    scopus 로고
    • Molecular dynamics simulation of nanoscale machining of copper
    • Y. Y. Ye, R. Biswas, J. R. Morris, A. Bastawros, A. Chandra, Molecular dynamics simulation of nanoscale machining of copper, Nanotechnology 14 (10) (2003) 390-396.
    • (2003) Nanotechnology , vol.14 , Issue.10 , pp. 390-396
    • Ye, Y.Y.1    Biswas, R.2    Morris, J.R.3    Bastawros, A.4    Chandra, A.5
  • 26
    • 0141990547 scopus 로고    scopus 로고
    • Molecular dynamics simulations of mechanical deformation of amorphous silicon dioxide during chemical-mechanical polishing
    • E. Chagarov, J. B. Adams, Molecular dynamics simulations of mechanical deformation of amorphous silicon dioxide during chemical-mechanical polishing, J. Appl. Phys. 94 (6) (2003) 3853-3861.
    • (2003) J. Appl. Phys. , vol.94 , Issue.6 , pp. 3853-3861
    • Chagarov, E.1    Adams, J.B.2
  • 27
    • 77954087086 scopus 로고    scopus 로고
    • Molecular dynamics investigations on polishing of a silicon wafer with a diamond abrasive
    • P. M. Agrawal, L. M. Raff, S. Bukkapatnam, R. Komanduri, Molecular dynamics investigations on polishing of a silicon wafer with a diamond abrasive, Appl. Phys. A-Mater. Sci. Process. 100 (1) (2010) 89-104.
    • (2010) Appl. Phys. A-Mater. Sci. Process. , vol.100 , Issue.1 , pp. 89-104
    • Agrawal, P.M.1    Raff, L.M.2    Bukkapatnam, S.3    Komanduri, R.4
  • 28
    • 0001765873 scopus 로고
    • A numerical approach to the testing of the fission hypo thesis
    • L. B. Lucy, A numerical approach to the testing of the fission hypothesis, Astron. J. 82 (12) (1977) 1013-1024.
    • (1977) Astron. J. , vol.82 , Issue.12 , pp. 1013-1024
    • Lucy, L.B.1
  • 29
    • 85183430449 scopus 로고
    • Smoothed particle hydrodynamics: Theory and application to non-spherical stars
    • R. A. Gingold, J. J. Monaghan, Smoothed particle hydrodynamics: Theory and application to non-spherical stars, Mon. Not. Roy. Astron. Soc. 181 (1977) 375-389.
    • (1977) Mon. Not. Roy. Astron. Soc. , vol.181 , pp. 375-389
    • Gingold, R.A.1    Monaghan, J.J.2
  • 30
    • 84555202477 scopus 로고    scopus 로고
    • Smoothed particle hydrodynamics and its diverse applications
    • J. J. Monaghan, Smoothed particle hydrodynamics and its diverse applications, Annu. Rev. Fluid Mech. 44 (1) (2012) 323-346.
    • (2012) Annu. Rev. Fluid Mech. , vol.44 , Issue.1 , pp. 323-346
    • Monaghan, J.J.1
  • 31
    • 37049036181 scopus 로고    scopus 로고
    • SPH-based flow simulation of polishing slurry including polished debris in CMP
    • in Japanese
    • K. Takano, K. Yamada, N. Takezawa, T. Suzuki, T. Inamura, SPH-based flow simulation of polishing slurry including polished debris in CMP, J. Jpn. Soc. Precis. Eng. 73 (1) (2007) 90-95, in Japanese.
    • (2007) J. Jpn. Soc. Precis. Eng. , vol.73 , Issue.1 , pp. 90-95
    • Takano, K.1    Yamada, K.2    Takezawa, N.3    Suzuki, T.4    Inamura, T.5
  • 32
    • 84865367498 scopus 로고    scopus 로고
    • A generalized wall boundary condition for smoothed particle hydrodynamics
    • S. Adami, X. Y. Hu, N. A. Adams, A generalized wall boundary condition for smoothed particle hydrodynamics, J. Comput. Phys. 231 (2012) 7057-7075.
    • (2012) J. Comput. Phys. , vol.231 , pp. 7057-7075
    • Adami, S.1    Hu, X.Y.2    Adams, N.A.3
  • 35
    • 84865400964 scopus 로고    scopus 로고
    • Improving convergence in smoothed particle hydrodynamics simulations without pairing instability
    • W. Dehnen, H. Aly, Improving convergence in smoothed particle hydrodynamics simulations without pairing instability, Mon. Not. Roy. Astron. Soc. 425 (2) (2012) 1068-1082.
    • (2012) Mon. Not. Roy. Astron. Soc. , vol.425 , Issue.2 , pp. 1068-1082
    • Dehnen, W.1    Aly, H.2
  • 36
    • 0031237355 scopus 로고    scopus 로고
    • Modeling low Reynolds number incompressible flows using SPH
    • J. P. Morris, P. J. Fox, Y. Zhu, Modeling low Reynolds number incompressible flows using SPH, J. Comput. Phys. 136 (1997) 214-226.
    • (1997) J. Comput. Phys. , vol.136 , pp. 214-226
    • Morris, J.P.1    Fox, P.J.2    Zhu, Y.3
  • 37
    • 22544448703 scopus 로고    scopus 로고
    • Smoothed particle hydrodynamics
    • J. J. Monaghan, Smoothed particle hydrodynamics, Rep. Prog. Phys. 68 (8) (2005) 1703-1759.
    • (2005) Rep. Prog. Phys. , vol.68 , Issue.8 , pp. 1703-1759
    • Monaghan, J.J.1
  • 38
    • 82455175360 scopus 로고    scopus 로고
    • Smoothed particle hydrodynamics and magnetohydrodynamics
    • D. J. Price, Smoothed particle hydrodynamics and magnetohydrodynamics, J. Comput. Phys. 231 (2012) 759-794.
    • (2012) J. Comput. Phys. , vol.231 , pp. 759-794
    • Price, D.J.1
  • 39
    • 32644451844 scopus 로고    scopus 로고
    • A multi-phase SPH method for macroscopic and mesoscopic flows
    • X. Y. Hu, N. A. Adams, A multi-phase SPH method for macroscopic and mesoscopic flows, J. Comput. Phys. 213 (2006) 844-861.
    • (2006) J. Comput. Phys. , vol.213 , pp. 844-861
    • Hu, X.Y.1    Adams, N.A.2
  • 41
    • 28144440714 scopus 로고
    • Simulating free surface flows with SPH
    • J. J. Monaghan, Simulating free surface flows with SPH, J. Comput. Phys. 110 (1994) 399-406.
    • (1994) J. Comput. Phys. , vol.110 , pp. 399-406
    • Monaghan, J.J.1
  • 43
    • 0000227110 scopus 로고    scopus 로고
    • SPH without a tensile instability
    • J. J. Monaghan, SPH without a tensile instability, J. Comput. Phys. 159 (2) (2000) 290-311.
    • (2000) J. Comput. Phys. , vol.159 , Issue.2 , pp. 290-311
    • Monaghan, J.J.1
  • 44
    • 84875255225 scopus 로고    scopus 로고
    • A transport-velocity formulation for smoothed particle hydrodynamics
    • S. Adami, X. Y. Hu, N. A. Adams, A transport-velocity formulation for smoothed particle hydrodynamics, J. Comput. Phys. 241 (2013) 292-307.
    • (2013) J. Comput. Phys. , vol.241 , pp. 292-307
    • Adami, S.1    Hu, X.Y.2    Adams, N.A.3
  • 45
    • 67349096291 scopus 로고    scopus 로고
    • A simple procedure to improve the pressure evaluation in hydrodynamic context using the SPH
    • D. Molteni, A. Colagrossi, A simple procedure to improve the pressure evaluation in hydrodynamic context using the SPH, Comput. Phys. Commun. 180 (6) (2009) 861-872.
    • (2009) Comput. Phys. Commun. , vol.180 , Issue.6 , pp. 861-872
    • Molteni, D.1    Colagrossi, A.2
  • 46
    • 0033337872 scopus 로고    scopus 로고
    • Variational and momentum preservation aspects of smooth particle hydrodynamic formulations
    • J. Bonet, T.-S. Lok, Variational and momentum preservation aspects of smooth particle hydrodynamic formulations, Comput. Methods Appl. Mech. Engrg. 180 (1999) 97-115.
    • (1999) Comput. Methods Appl. Mech. Engrg. , vol.180 , pp. 97-115
    • Bonet, J.1    Lok, T.-S.2
  • 49
    • 77049123192 scopus 로고    scopus 로고
    • Smoothed particle hydrodynamics simulation of non- Newtonian moulding flow
    • X.-J. Fan, R. I. Tanner, R. Zheng, Smoothed particle hydrodynamics simulation of non- Newtonian moulding flow, J. Non-Newton. Fluid Mech. 165 (2010) 219-226.
    • (2010) J. Non-Newton. Fluid Mech. , vol.165 , pp. 219-226
    • Fan, X.-J.1    Tanner, R.I.2    Zheng, R.3
  • 52
    • 0001105507 scopus 로고    scopus 로고
    • A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: Application to particulate flow
    • R. Glowinski, T. W. Pan, T. I. Hesla, D. D. Joseph, J. Périaux, A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow, J. Comput. Phys. 169 (2001) 363-426.
    • (2001) J. Comput. Phys. , vol.169 , pp. 363-426
    • Glowinski, R.1    Pan, T.W.2    Hesla, T.I.3    Joseph, D.D.4    Périaux, J.5
  • 53
    • 0022146897 scopus 로고
    • Particle methods for hydrodynamics
    • J. J. Monaghan, Particle methods for hydrodynamics, Comput. Phys. Rep. 3 (2) (1985) 71-124.
    • (1985) Comput. Phys. Rep. , vol.3 , Issue.2 , pp. 71-124
    • Monaghan, J.J.1
  • 54
    • 0001617877 scopus 로고
    • TreeSPH: A unification of SPH with the hierarchical tree method
    • L. Hernquist, N. Katz, TreeSPH: A unification of SPH with the hierarchical tree method, Astrophys. J. Suppl. Ser. 70 (1989) 419-446.
    • (1989) Astrophys. J. Suppl. Ser. , vol.70 , pp. 419-446
    • Hernquist, L.1    Katz, N.2
  • 55
    • 0001162786 scopus 로고
    • On the partial difference equations of mathematical physics
    • R. Courant, K. Friedrichs, H. Lewy, On the partial difference equations of mathematical physics, IBM J. Res. Dev. 11 (2) (1967) 215-234.
    • (1967) IBM J. Res. Dev. , vol.11 , Issue.2 , pp. 215-234
    • Courant, R.1    Friedrichs, K.2    Lewy, H.3
  • 58
    • 0037307324 scopus 로고    scopus 로고
    • A mathematical model for chemical-mechanical polishing based on formation and removal of weakly bonded molecular species
    • Y. Zhao, L. Chang, S. H. Kim, A mathematical model for chemical-mechanical polishing based on formation and removal of weakly bonded molecular species, Wear 254 (2003) 332-339.
    • (2003) Wear , vol.254 , pp. 332-339
    • Zhao, Y.1    Chang, L.2    Kim, S.H.3
  • 59
    • 34249002660 scopus 로고    scopus 로고
    • On the CMPmaterial removal at themolecular scale
    • L. Chang, On the CMPmaterial removal at themolecular scale, J. Tribol.-Trans.ASME 129 (2) (2007) 436-437.
    • (2007) J. Tribol.-Trans.ASME , vol.129 , Issue.2 , pp. 436-437
    • Chang, L.1
  • 60
    • 0013331267 scopus 로고    scopus 로고
    • Modeling and experimental analysis of thematerial removal rate in the chemical mechanical planarization of dielectric films and bare silicon wafers
    • H. Hocheng, H. Y. Tsai, Y. T. Su, Modeling and experimental analysis of thematerial removal rate in the chemical mechanical planarization of dielectric films and bare silicon wafers, J. Electrochem. Soc. 148 (10) (2001) G581-G586.
    • (2001) J. Electrochem. Soc. , vol.148 , Issue.10 , pp. G581-G586
    • Hocheng, H.1    Tsai, H.Y.2    Su, Y.T.3
  • 61
    • 74649083854 scopus 로고    scopus 로고
    • A fundamental model proposed for material removal in chemicalmechanical polishing
    • J. Xin, W. Cai, J. A. Tichy, A fundamental model proposed for material removal in chemicalmechanical polishing, Wear 268 (2010) 837-844.
    • (2010) Wear , vol.268 , pp. 837-844
    • Xin, J.1    Cai, W.2    Tichy, J.A.3
  • 62
    • 65949110350 scopus 로고    scopus 로고
    • A contact-mechanics-basedmodel for general rough pads in chemical mechanical polishing processes
    • C. Feng, C. Yan, J. Tao, X. Zeng, W. Cai, A contact-mechanics-basedmodel for general rough pads in chemical mechanical polishing processes, J. Electrochem. Soc. 156 (7) (2009) H601-H611.
    • (2009) J. Electrochem. Soc. , vol.156 , Issue.7 , pp. H601-H611
    • Feng, C.1    Yan, C.2    Tao, J.3    Zeng, X.4    Cai, W.5
  • 63
    • 34248182376 scopus 로고    scopus 로고
    • Numerical simulation of fluid-structure interaction by SPH
    • C. Antoci, M. Gallati, S. Sibilla, Numerical simulation of fluid-structure interaction by SPH, Comput. Struct. 85 (2007) 879-890.
    • (2007) Comput. Struct. , vol.85 , pp. 879-890
    • Antoci, C.1    Gallati, M.2    Sibilla, S.3
  • 65
    • 0023141731 scopus 로고
    • Nonlinear mechanics of fluidization of beds of spherical particles
    • A. F. Fortes, D. D. Joseph, T. S. Lundgren, Nonlinear mechanics of fluidization of beds of spherical particles, J. Fluid Mech. 177 (1987) 467-483.
    • (1987) J. Fluid Mech. , vol.177 , pp. 467-483
    • Fortes, A.F.1    Joseph, D.D.2    Lundgren, T.S.3
  • 67
    • 1842733457 scopus 로고    scopus 로고
    • The immersed boundary-lattice Boltzmann method for solving fluid-particles interaction problems
    • Z.-G. Feng, E. E. Michaelides, The immersed boundary-lattice Boltzmann method for solving fluid-particles interaction problems, J. Comput. Phys. 195 (2004) 602-628.
    • (2004) J. Comput. Phys. , vol.195 , pp. 602-628
    • Feng, Z.-G.1    Michaelides, E.E.2
  • 68
    • 21444453996 scopus 로고    scopus 로고
    • An immersed boundary method with direct forcing for the simulation of particulate flows
    • M. Uhlmann, An immersed boundary method with direct forcing for the simulation of particulate flows, J. Comput. Phys. 209 (2005) 448-476.
    • (2005) J. Comput. Phys. , vol.209 , pp. 448-476
    • Uhlmann, M.1
  • 70
    • 80052080933 scopus 로고    scopus 로고
    • Measurement of microscale shear forces during chemical mechanical planarization
    • R. D. White, A. J. Mueller, M. Shin, D. Gauthier, V. P. Manno, C. B. Rogers, Measurement of microscale shear forces during chemical mechanical planarization, J. Electrochem. Soc. 158 (10) (2011) H1041-H1051.
    • (2011) J. Electrochem. Soc. , vol.158 , Issue.10 , pp. H1041-H1051
    • White, R.D.1    Mueller, A.J.2    Shin, M.3    Gauthier, D.4    Manno, V.P.5    Rogers, C.B.6
  • 71
    • 84860438854 scopus 로고    scopus 로고
    • Models of nanoparticles movement, collision, and friction in chemical mechanical polishing (CMP)
    • F. Ilie, Models of nanoparticles movement, collision, and friction in chemical mechanical polishing (CMP), J. Nanopart. Res. 14 (3) (2012) 752.
    • (2012) J. Nanopart. Res. , vol.14 , Issue.3 , pp. 752
    • Ilie, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.