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Volumn 50, Issue 6, 2010, Pages 775-789

Physically based models of electromigration: From Black's equation to modern TCAD models

Author keywords

Electromigration; Interconnects; Modeling; TCAD

Indexed keywords

BLACK'S EQUATION; CHRONOLOGICAL ORDER; ELECTROMIGRATION FAILURE MECHANISM; ELECTROMIGRATION FAILURES; INTERCONNECT STRUCTURES; MATHEMATICAL MODELING; METAL LINE; METALLIZATION STRUCTURES; PHYSICALLY BASED MODELS; THREE DIMENSIONAL SIMULATIONS;

EID: 77953131130     PISSN: 00262714     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.microrel.2010.01.007     Document Type: Article
Times cited : (129)

References (107)
  • 1
    • 77953135159 scopus 로고    scopus 로고
    • International Technology Roadmap for Semiconductors;
    • International Technology Roadmap for Semiconductors; 2008.
    • (2008)
  • 2
    • 84990733152 scopus 로고
    • Mass transport of aluminum by momentum exchange with conducting electrons
    • Black J.R. Mass transport of aluminum by momentum exchange with conducting electrons. Proc 6th Ann Reliab Phys Symp (1967) 148-159
    • (1967) Proc 6th Ann Reliab Phys Symp , pp. 148-159
    • Black, J.R.1
  • 3
    • 84937650904 scopus 로고
    • Electromigration - a brief survey and some recent results
    • Black J.R. Electromigration - a brief survey and some recent results. IEEE Trans Electron Devices 16 4 (1969) 338-347
    • (1969) IEEE Trans Electron Devices , vol.16 , Issue.4 , pp. 338-347
    • Black, J.R.1
  • 4
    • 0014630193 scopus 로고
    • Electromigration failure modes in aluminum metallization for semiconductor devices
    • Black J.R. Electromigration failure modes in aluminum metallization for semiconductor devices. Proc IEEE Lett 57 9 (1969) 1578-1594
    • (1969) Proc IEEE Lett , vol.57 , Issue.9 , pp. 1578-1594
    • Black, J.R.1
  • 5
    • 0015080939 scopus 로고
    • Concerning electromigration in thin films
    • Blair J.C., Ghate P.G., and Haywood C.T. Concerning electromigration in thin films. Proc IEEE Lett 59 (1971) 1023-1024
    • (1971) Proc IEEE Lett , vol.59 , pp. 1023-1024
    • Blair, J.C.1    Ghate, P.G.2    Haywood, C.T.3
  • 6
    • 49749201891 scopus 로고
    • Current-induced marker motion in gold wires
    • Huntington H.B., and Grone A.R. Current-induced marker motion in gold wires. J Phys Chem Solids 20 1 (1961) 76-87
    • (1961) J Phys Chem Solids , vol.20 , Issue.1 , pp. 76-87
    • Huntington, H.B.1    Grone, A.R.2
  • 7
    • 77953136715 scopus 로고
    • On the current density dependence of electromigration in thin films
    • Hofman G.L., and Breitling H.M. On the current density dependence of electromigration in thin films. Proc IEEE Lett 58 (1970) 833
    • (1970) Proc IEEE Lett , vol.58 , pp. 833
    • Hofman, G.L.1    Breitling, H.M.2
  • 8
    • 0000697090 scopus 로고
    • A model for conductor failure considering diffusion concurrently with electromigration resulting in a current exponent of 2
    • Shatzkes M., and Lloyd J. A model for conductor failure considering diffusion concurrently with electromigration resulting in a current exponent of 2. J Appl Phys 59 11 (1986) 3890-3893
    • (1986) J Appl Phys , vol.59 , Issue.11 , pp. 3890-3893
    • Shatzkes, M.1    Lloyd, J.2
  • 9
    • 0012679538 scopus 로고
    • Electromigration failure
    • Lloyd J. Electromigration failure. J Appl Phys 69 11 (1991) 7601-7604
    • (1991) J Appl Phys , vol.69 , Issue.11 , pp. 7601-7604
    • Lloyd, J.1
  • 10
    • 0003354983 scopus 로고
    • Atomistic and computer modeling of metallization failure of integrated circuits by electromigration
    • Kirchheim R., and Kaeber U. Atomistic and computer modeling of metallization failure of integrated circuits by electromigration. J Appl Phys 70 1 (1991) 172-181
    • (1991) J Appl Phys , vol.70 , Issue.1 , pp. 172-181
    • Kirchheim, R.1    Kaeber, U.2
  • 11
    • 0026813885 scopus 로고
    • Stress and electromigration in Al-lines of integrated circuits
    • Kirchheim R. Stress and electromigration in Al-lines of integrated circuits. Acta Metall Mater 40 2 (1992) 309-323
    • (1992) Acta Metall Mater , vol.40 , Issue.2 , pp. 309-323
    • Kirchheim, R.1
  • 12
    • 0038035318 scopus 로고
    • Stress evolution due to electromigration in confined metal lines
    • Korhonen M.A., Borgesen P., Tu K.N., and Li C.-Y. Stress evolution due to electromigration in confined metal lines. J Appl Phys 73 8 (1993) 3790-3799
    • (1993) J Appl Phys , vol.73 , Issue.8 , pp. 3790-3799
    • Korhonen, M.A.1    Borgesen, P.2    Tu, K.N.3    Li, C.-Y.4
  • 13
    • 0342779803 scopus 로고
    • Modeling electromigration-induced stress evolution in confined metal lines
    • Clement J.J., and Thompson C.V. Modeling electromigration-induced stress evolution in confined metal lines. J Appl Phys 78 2 (1995) 900-904
    • (1995) J Appl Phys , vol.78 , Issue.2 , pp. 900-904
    • Clement, J.J.1    Thompson, C.V.2
  • 14
    • 34548673315 scopus 로고    scopus 로고
    • Black's law revisited - nucleation and growth in electromigration failure
    • Lloyd J.R. Black's law revisited - nucleation and growth in electromigration failure. Microelectron Reliab 47 (2007) 1468-1472
    • (2007) Microelectron Reliab , vol.47 , pp. 1468-1472
    • Lloyd, J.R.1
  • 15
    • 0001467312 scopus 로고
    • Theorie phenomenologique de L'Effet soret
    • de Groot S.R. Theorie phenomenologique de L'Effet soret. Physica 7 (1942) 699-707
    • (1942) Physica , Issue.7 , pp. 699-707
    • de Groot, S.R.1
  • 16
    • 34548620299 scopus 로고    scopus 로고
    • A model for electromigration-induced degradation mechanisms in dual-inlaid copper interconnects: effect of microstructure
    • Sukharev V., Zschech E., and Nix W.D. A model for electromigration-induced degradation mechanisms in dual-inlaid copper interconnects: effect of microstructure. J Appl Phys 102 (2007) 053505
    • (2007) J Appl Phys , vol.102 , pp. 053505
    • Sukharev, V.1    Zschech, E.2    Nix, W.D.3
  • 17
    • 0037103690 scopus 로고    scopus 로고
    • In situ study of void growth kinetics in electroplated Cu lines
    • Liniger E.G., Gignac L.M., Hu C.-K., and Kaldor S. In situ study of void growth kinetics in electroplated Cu lines. J Appl Phys 92 4 (2002) 1803-1810
    • (2002) J Appl Phys , vol.92 , Issue.4 , pp. 1803-1810
    • Liniger, E.G.1    Gignac, L.M.2    Hu, C.-K.3    Kaldor, S.4
  • 18
    • 0038711733 scopus 로고    scopus 로고
    • The electromigration force in metallic bulk
    • Lodder A., and Dekker J.P. The electromigration force in metallic bulk. AIP Conf Proc 418 (1998) 315-329
    • (1998) AIP Conf Proc , vol.418 , pp. 315-329
    • Lodder, A.1    Dekker, J.P.2
  • 19
    • 0015206803 scopus 로고
    • Void formation and growth during electromigration in thin films
    • Rosenberg R., and Ohring M. Void formation and growth during electromigration in thin films. J Appl Phys 42 13 (1971) 5671-5679
    • (1971) J Appl Phys , vol.42 , Issue.13 , pp. 5671-5679
    • Rosenberg, R.1    Ohring, M.2
  • 20
    • 0014789535 scopus 로고
    • Electromigration damage in aluminum film conductors
    • Attardo M.J., and Rosenberg R. Electromigration damage in aluminum film conductors. J Appl Phys 41 6 (1970) 2381-2386
    • (1970) J Appl Phys , vol.41 , Issue.6 , pp. 2381-2386
    • Attardo, M.J.1    Rosenberg, R.2
  • 21
    • 0029360183 scopus 로고
    • Mass transport at interfaces in single component systems
    • Mullins W.W. Mass transport at interfaces in single component systems. Metall Mater Trans A 26 (1995) 1918-1929
    • (1995) Metall Mater Trans A , vol.26 , pp. 1918-1929
    • Mullins, W.W.1
  • 22
    • 0016940795 scopus 로고
    • Electromigration in thin aluminum films on titanium nitride
    • Blech I.A. Electromigration in thin aluminum films on titanium nitride. J Appl Phys 47 4 (1976) 1203-1208
    • (1976) J Appl Phys , vol.47 , Issue.4 , pp. 1203-1208
    • Blech, I.A.1
  • 23
    • 36749115512 scopus 로고
    • Stress generation by electromigration
    • Blech I.A., and Herring C. Stress generation by electromigration. Appl Phys Lett 29 3 (1976) 131-133
    • (1976) Appl Phys Lett , vol.29 , Issue.3 , pp. 131-133
    • Blech, I.A.1    Herring, C.2
  • 24
    • 0000654704 scopus 로고
    • Measurement of stress gradients generated by electromigration
    • Blech I.A., and Tai K.L. Measurement of stress gradients generated by electromigration. Appl Phys Lett 30 8 (1977) 387-389
    • (1977) Appl Phys Lett , vol.30 , Issue.8 , pp. 387-389
    • Blech, I.A.1    Tai, K.L.2
  • 25
    • 0009826182 scopus 로고
    • Diffusional viscosity of a polycrystalline solid
    • Herring C. Diffusional viscosity of a polycrystalline solid. J Appl Phys 21 (1950) 437-445
    • (1950) J Appl Phys , vol.21 , pp. 437-445
    • Herring, C.1
  • 26
    • 0035971713 scopus 로고    scopus 로고
    • Direct observation of a critical length effect in dual-damascene Cu/oxide interconnects
    • 2645-2652
    • Ogawa E.T., Bierwag A.J., Lee K.-D., Matsuhashi H., Justinson P.R., et al. Direct observation of a critical length effect in dual-damascene Cu/oxide interconnects. Appl Phys Lett 78 18 (2001) 2645-2652
    • (2001) Appl Phys Lett , vol.78 , Issue.18
    • Ogawa, E.T.1    Bierwag, A.J.2    Lee, K.-D.3    Matsuhashi, H.4    Justinson, P.R.5
  • 28
    • 58149216189 scopus 로고    scopus 로고
    • Extensive analysis of resistance evolution due to electromigration induced degradation
    • Doyen L., Petitprez E., Waltz P., Federspiel X., Arnaud L., and Wouters Y. Extensive analysis of resistance evolution due to electromigration induced degradation. J Appl Phys 104 (2008) 123521
    • (2008) J Appl Phys , vol.104 , pp. 123521
    • Doyen, L.1    Petitprez, E.2    Waltz, P.3    Federspiel, X.4    Arnaud, L.5    Wouters, Y.6
  • 29
    • 70449099271 scopus 로고    scopus 로고
    • Void nucleation and growth contributions to the critical current density for failure in Cu vias
    • Oates A.S., and Lin M.H. Void nucleation and growth contributions to the critical current density for failure in Cu vias. Proc Intl Reliab Phys Symp (2009) 452-456
    • (2009) Proc Intl Reliab Phys Symp , pp. 452-456
    • Oates, A.S.1    Lin, M.H.2
  • 30
    • 0033225102 scopus 로고    scopus 로고
    • Electromigration and mechanical stress
    • Lloyd J.R. Electromigration and mechanical stress. Microelectron Eng 49 (1999) 51-64
    • (1999) Microelectron Eng , vol.49 , pp. 51-64
    • Lloyd, J.R.1
  • 31
    • 0002181003 scopus 로고
    • Dislocations, vacancies and interstitials
    • Nabarro FNR Ed
    • Balluffi RW, Granato AV. Dislocations, vacancies and interstitials. In: Nabarro FNR (Ed.), Dislocation in solids; 1979. p. 1-133.
    • (1979) Dislocation in solids , pp. 1-133
    • Balluffi, R.W.1    Granato, A.V.2
  • 32
    • 0001598176 scopus 로고    scopus 로고
    • Reliability analysis for encapsulated interconnect lines under DC and pulsed DC current using a continuum electromigration transport model
    • Clement J.J. Reliability analysis for encapsulated interconnect lines under DC and pulsed DC current using a continuum electromigration transport model. J. Appl. Phys. 82 12 (1997) 5991-6000
    • (1997) J. Appl. Phys. , vol.82 , Issue.12 , pp. 5991-6000
    • Clement, J.J.1
  • 35
    • 0029406209 scopus 로고
    • Mechanical stress in VLSI interconnections: origins, effects, measurement, and modeling
    • Flinn P.A. Mechanical stress in VLSI interconnections: origins, effects, measurement, and modeling. MRS Bull (1995) 70-73
    • (1995) MRS Bull , pp. 70-73
    • Flinn, P.A.1
  • 36
    • 0031207626 scopus 로고    scopus 로고
    • Void nucleation in passivated interconnect lines: effects of site geometries, interfaces, and interface, flaws
    • Gleixner R.J., Clemens B.M., and Nix W.D. Void nucleation in passivated interconnect lines: effects of site geometries, interfaces, and interface, flaws. J Mater Res 12 (1997) 2081-2090
    • (1997) J Mater Res , vol.12 , pp. 2081-2090
    • Gleixner, R.J.1    Clemens, B.M.2    Nix, W.D.3
  • 37
    • 0142195939 scopus 로고    scopus 로고
    • Numerical simulation of stress evolution during electromigration in IC interconnect lines
    • Ye H., Basaran C., and Hopkins D.C. Numerical simulation of stress evolution during electromigration in IC interconnect lines. IEEE Trans Components Pack Technol 26 3 (2003) 673-681
    • (2003) IEEE Trans Components Pack Technol , vol.26 , Issue.3 , pp. 673-681
    • Ye, H.1    Basaran, C.2    Hopkins, D.C.3
  • 38
    • 17444404174 scopus 로고    scopus 로고
    • Electromigration induced stress analysis using fully coupled mechanical-diffusion equations with nonlinear material properties
    • Lin M., and Basaran C. Electromigration induced stress analysis using fully coupled mechanical-diffusion equations with nonlinear material properties. Comput Mater Sci 34 (2005) 82-98
    • (2005) Comput Mater Sci , vol.34 , pp. 82-98
    • Lin, M.1    Basaran, C.2
  • 39
    • 70350571503 scopus 로고    scopus 로고
    • Damage mechanics of electromigration in microelectronics copper interconnects
    • Basaran C., and Lin M. Damage mechanics of electromigration in microelectronics copper interconnects. Int J Mater Struct Integrity 1 (2007) 16-39
    • (2007) Int J Mater Struct Integrity , vol.1 , pp. 16-39
    • Basaran, C.1    Lin, M.2
  • 40
    • 84947221915 scopus 로고    scopus 로고
    • Physically-based simulation of the early and long-term failures in copper dual-damascene interconnects
    • Sukharev V., Choudhury R., and Park C.W. Physically-based simulation of the early and long-term failures in copper dual-damascene interconnects. Proc Intl Integrated Reliab Workshop (2003) 80-85
    • (2003) Proc Intl Integrated Reliab Workshop , pp. 80-85
    • Sukharev, V.1    Choudhury, R.2    Park, C.W.3
  • 41
    • 21344474097 scopus 로고    scopus 로고
    • A model for electromigration-induced degradation mechanisms in dual-inlaid copper interconnects: effect of interface bonding strength
    • Sukharev V., and Zschech E. A model for electromigration-induced degradation mechanisms in dual-inlaid copper interconnects: effect of interface bonding strength. J Appl Phys 96 11 (2004) 6337-6343
    • (2004) J Appl Phys , vol.96 , Issue.11 , pp. 6337-6343
    • Sukharev, V.1    Zschech, E.2
  • 42
    • 27644559566 scopus 로고    scopus 로고
    • Physically based simulation of electromigration-induced degradation mechanisms in dual-damascene copper interconnects
    • Sukharev V. Physically based simulation of electromigration-induced degradation mechanisms in dual-damascene copper interconnects. ieeecadics 24 9 (2005) 1326-1335
    • (2005) ieeecadics , vol.24 , Issue.9 , pp. 1326-1335
    • Sukharev, V.1
  • 43
    • 0035456975 scopus 로고    scopus 로고
    • Three-dimensional voids simulation in chip metallization structures: a contribution to reliability evaluation
    • Dalleau D., and Weide-Zaage K. Three-dimensional voids simulation in chip metallization structures: a contribution to reliability evaluation. Microelectron Reliab 41 (2001) 1625-1630
    • (2001) Microelectron Reliab , vol.41 , pp. 1625-1630
    • Dalleau, D.1    Weide-Zaage, K.2
  • 44
    • 0041692468 scopus 로고    scopus 로고
    • Simulation of time depending void formation in copper, aluminum and tungsten plugged via metallization structures
    • Dalleau D., Weide-Zaage K., and Danto Y. Simulation of time depending void formation in copper, aluminum and tungsten plugged via metallization structures. Microelectron Reliab 43 (2003) 1821-1826
    • (2003) Microelectron Reliab , vol.43 , pp. 1821-1826
    • Dalleau, D.1    Weide-Zaage, K.2    Danto, Y.3
  • 45
    • 61849182478 scopus 로고    scopus 로고
    • A comprehensive TCAD approach for assessing electromigration reliability of modern interconnects
    • Ceric H., de Orio R.L., Cervenka J., and Selberherr S. A comprehensive TCAD approach for assessing electromigration reliability of modern interconnects. IEEE Trans Mater Device Reliab 9 1 (2009) 9-19
    • (2009) IEEE Trans Mater Device Reliab , vol.9 , Issue.1 , pp. 9-19
    • Ceric, H.1    de Orio, R.L.2    Cervenka, J.3    Selberherr, S.4
  • 46
    • 0036776502 scopus 로고    scopus 로고
    • In situ SEM observation of electromigration phenomena in fully embedded copper interconnect structures
    • Meyer M.A., Herrmann M., Langer E., and Zschech E. In situ SEM observation of electromigration phenomena in fully embedded copper interconnect structures. Microelectron Eng 64 (2002) 375-382
    • (2002) Microelectron Eng , vol.64 , pp. 375-382
    • Meyer, M.A.1    Herrmann, M.2    Langer, E.3    Zschech, E.4
  • 47
    • 0031356655 scopus 로고    scopus 로고
    • Numerical simulations of electromigration and stress-driven diffusion in polycrystalline interconnects
    • Povirk G.L. Numerical simulations of electromigration and stress-driven diffusion in polycrystalline interconnects. Mater Res Soc Symp Proc 473 (1997) 337-342
    • (1997) Mater Res Soc Symp Proc , vol.473 , pp. 337-342
    • Povirk, G.L.1
  • 48
    • 0031374567 scopus 로고    scopus 로고
    • Three-dimensional finite element simulation of electro and stress migration effects in interconnect lines
    • Rzepka S., Korhonen M.A., Weber E.R., and Li C.-Y. Three-dimensional finite element simulation of electro and stress migration effects in interconnect lines. Mater Res Soc Symp Proc 473 (1997) 329-335
    • (1997) Mater Res Soc Symp Proc , vol.473 , pp. 329-335
    • Rzepka, S.1    Korhonen, M.A.2    Weber, E.R.3    Li, C.-Y.4
  • 50
    • 0035334775 scopus 로고    scopus 로고
    • Modeling electromigration and the void nucleation in thin-film interconnects of integrated circuits
    • Goldstein R.V., Sarychev M.E., Shirabaikin D.B., Vladimirov A.S., and Zhitnikov Y.V. Modeling electromigration and the void nucleation in thin-film interconnects of integrated circuits. Int J Fract 109 (2001) 91-121
    • (2001) Int J Fract , vol.109 , pp. 91-121
    • Goldstein, R.V.1    Sarychev, M.E.2    Shirabaikin, D.B.3    Vladimirov, A.S.4    Zhitnikov, Y.V.5
  • 51
    • 0024883448 scopus 로고
    • A model for phosphorus segregation at the silicon-silicon dioxide interface
    • Lau F., Mazure C., Werner C., and Orlowski M. A model for phosphorus segregation at the silicon-silicon dioxide interface. Appl Phys A 49 (1989) 671-675
    • (1989) Appl Phys A , vol.49 , pp. 671-675
    • Lau, F.1    Mazure, C.2    Werner, C.3    Orlowski, M.4
  • 52
    • 1842842332 scopus 로고    scopus 로고
    • Electromigration behavior of dual-damascene Cu interconnects - structure, width, and length dependences
    • Vairagar A.V., Mhaisalkar S.G., and Krishnamoorthy A. Electromigration behavior of dual-damascene Cu interconnects - structure, width, and length dependences. Microelectron Reliab 44 (2004) 747-754
    • (2004) Microelectron Reliab , vol.44 , pp. 747-754
    • Vairagar, A.V.1    Mhaisalkar, S.G.2    Krishnamoorthy, A.3
  • 53
    • 7544241907 scopus 로고    scopus 로고
    • In situ observation of electromigration-induced void migration in dual-damascene Cu interconnect structures
    • Vairagar A.V., Mhaisalkar S.G., Krishnamoorthy A., Tu K.N., Gusak A.M., Meyer M.A., et al. In situ observation of electromigration-induced void migration in dual-damascene Cu interconnect structures. Appl Phys Lett 85 13 (2004) 2502-2504
    • (2004) Appl Phys Lett , vol.85 , Issue.13 , pp. 2502-2504
    • Vairagar, A.V.1    Mhaisalkar, S.G.2    Krishnamoorthy, A.3    Tu, K.N.4    Gusak, A.M.5    Meyer, M.A.6
  • 54
  • 55
    • 39749202166 scopus 로고    scopus 로고
    • Effects of microstructure on the formation, shape, and motion of voids during electromigration in passivated copper interconnects
    • Choi Z.S., Mönig R., and Thompson C.V. Effects of microstructure on the formation, shape, and motion of voids during electromigration in passivated copper interconnects. J Mater Res 23 2 (2008) 383-391
    • (2008) J Mater Res , vol.23 , Issue.2 , pp. 383-391
    • Choi, Z.S.1    Mönig, R.2    Thompson, C.V.3
  • 56
    • 28044472979 scopus 로고    scopus 로고
    • Microstructure effect on EM-induced copper interconnect degradation: experiment and simulation
    • Sukharev V., and Zschech E. Microstructure effect on EM-induced copper interconnect degradation: experiment and simulation. Microelectron Eng 82 (2005) 629-638
    • (2005) Microelectron Eng , vol.82 , pp. 629-638
    • Sukharev, V.1    Zschech, E.2
  • 57
    • 27144508419 scopus 로고    scopus 로고
    • Effect of interface strength on electromigrationinduced inlaid copper interconnect degradation: experiment and simulation
    • Zschech E., Engelmann H.J., Meyer M.A., Kahlert V., Vairagar A.V., Mhaisalkar S.G., et al. Effect of interface strength on electromigrationinduced inlaid copper interconnect degradation: experiment and simulation. Z Metallkd 96 9 (2005) 966-971
    • (2005) Z Metallkd , vol.96 , Issue.9 , pp. 966-971
    • Zschech, E.1    Engelmann, H.J.2    Meyer, M.A.3    Kahlert, V.4    Vairagar, A.V.5    Mhaisalkar, S.G.6
  • 60
    • 36449003103 scopus 로고
    • Numerical investigations of the electromigration boundary value problem
    • Clement J.J., and Lloyd J.R. Numerical investigations of the electromigration boundary value problem. J Appl Phys 71 4 (1992) 1729-1731
    • (1992) J Appl Phys , vol.71 , Issue.4 , pp. 1729-1731
    • Clement, J.J.1    Lloyd, J.R.2
  • 61
    • 0026895779 scopus 로고
    • On void nucleation and growth in metal interconnect lines under electromigration conditions
    • Nix W.D., and Arzt E. On void nucleation and growth in metal interconnect lines under electromigration conditions. Metall Trans A 23 (1992) 2007-2013
    • (1992) Metall Trans A , vol.23 , pp. 2007-2013
    • Nix, W.D.1    Arzt, E.2
  • 62
    • 84917920246 scopus 로고
    • The growth of grain-boundary voids under stress
    • Hull D., and Rimmer D.E. The growth of grain-boundary voids under stress. Philos Mag 4 (1959) 673-687
    • (1959) Philos Mag , vol.4 , pp. 673-687
    • Hull, D.1    Rimmer, D.E.2
  • 63
    • 0008316930 scopus 로고
    • Nucleation of creep cavities in magnesium
    • Harris J.E. Nucleation of creep cavities in magnesium. Trans Met AIME 233 (1965) 1509-1516
    • (1965) Trans Met AIME , vol.233 , pp. 1509-1516
    • Harris, J.E.1
  • 64
    • 0016521350 scopus 로고
    • Intergranular fracture at elevated temperatures
    • Raj R., and Ashby M.F. Intergranular fracture at elevated temperatures. Acta Metall 23 (1975) 653-666
    • (1975) Acta Metall , vol.23 , pp. 653-666
    • Raj, R.1    Ashby, M.F.2
  • 65
    • 0022034992 scopus 로고
    • Analysis of cavity nucleation in solids subjected to external and internal stresses
    • Hirth J.P., and Nix W.D. Analysis of cavity nucleation in solids subjected to external and internal stresses. Acta Metall 33 (1985) 359-368
    • (1985) Acta Metall , vol.33 , pp. 359-368
    • Hirth, J.P.1    Nix, W.D.2
  • 66
    • 0031207778 scopus 로고    scopus 로고
    • Void nucleation on a contaminated patch
    • Clemens B.M., Gleixner R.J., and Nix W.D. Void nucleation on a contaminated patch. J Mater Res 12 (1997) 2038-2042
    • (1997) J Mater Res , vol.12 , pp. 2038-2042
    • Clemens, B.M.1    Gleixner, R.J.2    Nix, W.D.3
  • 67
    • 58149216189 scopus 로고    scopus 로고
    • Extensive analysis of resistance evolution due to electromigration-induced degradation
    • Doyen L., Petitprez E., Waltz P., Federspiel X., Arnaud L., and Wouters Y. Extensive analysis of resistance evolution due to electromigration-induced degradation. J Appl Phys 104 (2008) 123521
    • (2008) J Appl Phys , vol.104 , pp. 123521
    • Doyen, L.1    Petitprez, E.2    Waltz, P.3    Federspiel, X.4    Arnaud, L.5    Wouters, Y.6
  • 69
    • 0037252548 scopus 로고    scopus 로고
    • Evidence of grain-boundary versus interface diffusion in electromigration experiments in copper damascene interconnects
    • Arnaud L., Berger T., and Reimbold G. Evidence of grain-boundary versus interface diffusion in electromigration experiments in copper damascene interconnects. J Appl Phys 93 1 (2003) 192-204
    • (2003) J Appl Phys , vol.93 , Issue.1 , pp. 192-204
    • Arnaud, L.1    Berger, T.2    Reimbold, G.3
  • 70
    • 34250644430 scopus 로고    scopus 로고
    • Dependence of the electromigration flux on the crystallographic orientations of different grains in polycrystalline copper interconnects
    • Choi Z.S., Mönig R., and Thompson C.V. Dependence of the electromigration flux on the crystallographic orientations of different grains in polycrystalline copper interconnects. Appl Phys Lett 90 (2007) 241913
    • (2007) Appl Phys Lett , vol.90 , pp. 241913
    • Choi, Z.S.1    Mönig, R.2    Thompson, C.V.3
  • 71
    • 0039709986 scopus 로고
    • In situ scanning electron microscopy observation of the dynamic behavior of electromigration voids in passivated aluminum lines
    • Besser P.R., Madden M.C., and Flinn P.A. In situ scanning electron microscopy observation of the dynamic behavior of electromigration voids in passivated aluminum lines. J Appl Phys 72 8 (1992) 3792-3797
    • (1992) J Appl Phys , vol.72 , Issue.8 , pp. 3792-3797
    • Besser, P.R.1    Madden, M.C.2    Flinn, P.A.3
  • 72
    • 0001336786 scopus 로고    scopus 로고
    • Diffuse interface model for electromigration and stress voiding
    • Bhate D.N., Kumar A., and Bower A.F. Diffuse interface model for electromigration and stress voiding. J Appl Phys 87 4 (2000) 1712-1721
    • (2000) J Appl Phys , vol.87 , Issue.4 , pp. 1712-1721
    • Bhate, D.N.1    Kumar, A.2    Bower, A.F.3
  • 73
    • 0036778668 scopus 로고    scopus 로고
    • A phase field model for failure in interconnect lines due to coupled diffusion mechanisms
    • Bhate D.N., Bower A.F., and Kumar A. A phase field model for failure in interconnect lines due to coupled diffusion mechanisms. J Mech Phys Solids 50 (2002) 2057-2083
    • (2002) J Mech Phys Solids , vol.50 , pp. 2057-2083
    • Bhate, D.N.1    Bower, A.F.2    Kumar, A.3
  • 74
    • 0014710032 scopus 로고
    • Motion of inclusion induced by a direct current and a temperature gradient
    • Ho P.S. Motion of inclusion induced by a direct current and a temperature gradient. J Appl Phys 41 1 (1970) 64-68
    • (1970) J Appl Phys , vol.41 , Issue.1 , pp. 64-68
    • Ho, P.S.1
  • 75
    • 36448999181 scopus 로고
    • Electromigration instability: transgranular slits in interconnects
    • Suo Z., Wang W., and Yang M. Electromigration instability: transgranular slits in interconnects. Appl Phys Lett 64 15 (1994) 1944-1946
    • (1994) Appl Phys Lett , vol.64 , Issue.15 , pp. 1944-1946
    • Suo, Z.1    Wang, W.2    Yang, M.3
  • 76
    • 0001554905 scopus 로고
    • Diffusive void bifurcation in stressed solid
    • Suo Z., and Wang W. Diffusive void bifurcation in stressed solid. J Appl Phys 76 6 (1994) 3410-3421
    • (1994) J Appl Phys , vol.76 , Issue.6 , pp. 3410-3421
    • Suo, Z.1    Wang, W.2
  • 77
    • 0000362877 scopus 로고    scopus 로고
    • A simulation of electromigration-induced transgranular slits
    • Wang W., Suo Z., and Hao T.-H. A simulation of electromigration-induced transgranular slits. J Appl Phys 79 5 (1996) 2394-2403
    • (1996) J Appl Phys , vol.79 , Issue.5 , pp. 2394-2403
    • Wang, W.1    Suo, Z.2    Hao, T.-H.3
  • 78
    • 28644443585 scopus 로고    scopus 로고
    • Diffuse interface model for electromigration and stress voiding
    • Zaporozhets T.V., Gusak A.M., Tu K.N., and Mhaisalkar S.G. Diffuse interface model for electromigration and stress voiding. J Appl Phys 98 (2005) 103508
    • (2005) J Appl Phys , vol.98 , pp. 103508
    • Zaporozhets, T.V.1    Gusak, A.M.2    Tu, K.N.3    Mhaisalkar, S.G.4
  • 80
    • 0028491015 scopus 로고
    • Electromigration failure by shape change of voids in bamboo lines
    • Arzt E., Kraft O., Nix W.D., and Sanchez J.J.E. Electromigration failure by shape change of voids in bamboo lines. J Appl Phys 76 3 (1994) 1563-1571
    • (1994) J Appl Phys , vol.76 , Issue.3 , pp. 1563-1571
    • Arzt, E.1    Kraft, O.2    Nix, W.D.3    Sanchez, J.J.E.4
  • 81
    • 0031117638 scopus 로고    scopus 로고
    • Electromigration mechanisms in conductor lines: void shape changes and slit-like failure
    • Kraft O., and Arzt E. Electromigration mechanisms in conductor lines: void shape changes and slit-like failure. Acta Mater 45 4 (1997) 1599-1611
    • (1997) Acta Mater , vol.45 , Issue.4 , pp. 1599-1611
    • Kraft, O.1    Arzt, E.2
  • 82
    • 0001497702 scopus 로고    scopus 로고
    • Influence of anisotropic surface diffusivity on electromigration induced void migration and evolution
    • Fridline D.R., and Bower A.F. Influence of anisotropic surface diffusivity on electromigration induced void migration and evolution. J Appl Phys 85 6 (1999) 3168-3174
    • (1999) J Appl Phys , vol.85 , Issue.6 , pp. 3168-3174
    • Fridline, D.R.1    Bower, A.F.2
  • 83
    • 0031235428 scopus 로고    scopus 로고
    • A finite element analysis of the motion and evolution of voids due to strain and electromigration induced surface diffusion
    • Xia L., Bower A.F., Suo Z., and Shih C.F. A finite element analysis of the motion and evolution of voids due to strain and electromigration induced surface diffusion. J Mech Phys Solids 45 9 (1997) 1473-1493
    • (1997) J Mech Phys Solids , vol.45 , Issue.9 , pp. 1473-1493
    • Xia, L.1    Bower, A.F.2    Suo, Z.3    Shih, C.F.4
  • 84
    • 0032715263 scopus 로고    scopus 로고
    • Three dimensional finite element analysis of the evolution of voids and thin films by strain and electromigration induced surface diffusion
    • Zhang Y.W., Bower A.F., Xia L., and Shih C.F. Three dimensional finite element analysis of the evolution of voids and thin films by strain and electromigration induced surface diffusion. J Mech Phys Solids 47 (1999) 173-199
    • (1999) J Mech Phys Solids , vol.47 , pp. 173-199
    • Zhang, Y.W.1    Bower, A.F.2    Xia, L.3    Shih, C.F.4
  • 85
    • 36349033436 scopus 로고    scopus 로고
    • Finite element model of electromigration induced void nucleation, growth and evolution in interconnects
    • Bower A.F., and Shankar S. Finite element model of electromigration induced void nucleation, growth and evolution in interconnects. Modell Simul Mater Sci Eng 15 (2007) 923-940
    • (2007) Modell Simul Mater Sci Eng , vol.15 , pp. 923-940
    • Bower, A.F.1    Shankar, S.2
  • 86
    • 0001761870 scopus 로고    scopus 로고
    • Simulations and theory of electromigration-induced slit formation in unpassivated single-crystal metal lines
    • Mahadevan M., and Bradley R.M. Simulations and theory of electromigration-induced slit formation in unpassivated single-crystal metal lines. Phys Rev B 59 16 (1999) 11037-11046
    • (1999) Phys Rev B , vol.59 , Issue.16 , pp. 11037-11046
    • Mahadevan, M.1    Bradley, R.M.2
  • 87
    • 0033075096 scopus 로고    scopus 로고
    • Phase field model of surface electromigration in single crystal metal thin films
    • Mahadevan M., and Bradley R.M. Phase field model of surface electromigration in single crystal metal thin films. Physica D 126 (1999) 201-213
    • (1999) Physica D , vol.126 , pp. 201-213
    • Mahadevan, M.1    Bradley, R.M.2
  • 88
    • 0001158204 scopus 로고    scopus 로고
    • Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
    • Gurtin M.E. Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance. Physica D 92 (1996) 178-192
    • (1996) Physica D , vol.92 , pp. 178-192
    • Gurtin, M.E.1
  • 90
    • 27644538599 scopus 로고    scopus 로고
    • An adaptive grid approach for the simulation of electromigration induced void migration
    • Ceric H., and Selberherr S. An adaptive grid approach for the simulation of electromigration induced void migration. IEICE Trans Electron 3 (2002) 421-426
    • (2002) IEICE Trans Electron , Issue.3 , pp. 421-426
    • Ceric, H.1    Selberherr, S.2
  • 91
    • 28044453216 scopus 로고    scopus 로고
    • Simulative prediction of the resistance change due to electromigration induced void evolution
    • Ceric H., and Selberherr S. Simulative prediction of the resistance change due to electromigration induced void evolution. Microelectron Reliab 42 (2002) 1457-1460
    • (2002) Microelectron Reliab , vol.42 , pp. 1457-1460
    • Ceric, H.1    Selberherr, S.2
  • 94
    • 67650911906 scopus 로고    scopus 로고
    • A fast level set framework for large three-dimensional topography simulations
    • Ertl O., and Selberherr S. A fast level set framework for large three-dimensional topography simulations. Comput Phys Commun 180 (2009) 1242-1250
    • (2009) Comput Phys Commun , vol.180 , pp. 1242-1250
    • Ertl, O.1    Selberherr, S.2
  • 95
    • 70350702568 scopus 로고    scopus 로고
    • Three-dimensional level set based bosch process simulations using ray tracing for flux calculation
    • Ertl O., and Selberherr S. Three-dimensional level set based bosch process simulations using ray tracing for flux calculation. Microelectron Eng 87 (2010) 20-29
    • (2010) Microelectron Eng , vol.87 , pp. 20-29
    • Ertl, O.1    Selberherr, S.2
  • 97
    • 0005667045 scopus 로고    scopus 로고
    • Numerical simulation of grain-boundary grooving by level set method
    • Khenner M., Averbuch A., Israeli M., and Nathan M. Numerical simulation of grain-boundary grooving by level set method. J Comp Phys 170 (2001) 764-784
    • (2001) J Comp Phys , vol.170 , pp. 764-784
    • Khenner, M.1    Averbuch, A.2    Israeli, M.3    Nathan, M.4
  • 98
    • 0011704584 scopus 로고    scopus 로고
    • Electromigration drift velocity in Cu interconnects modeled with the level set method
    • Nathan M., Glickman E., Khenner M., Averbuch A., and Israeli M. Electromigration drift velocity in Cu interconnects modeled with the level set method. Appl Phys Lett 77 21 (2000) 3355-3357
    • (2000) Appl Phys Lett , vol.77 , Issue.21 , pp. 3355-3357
    • Nathan, M.1    Glickman, E.2    Khenner, M.3    Averbuch, A.4    Israeli, M.5
  • 99
    • 0013002858 scopus 로고    scopus 로고
    • Computation for electromigration in interconnects of microelectronic devices
    • Averbuch A., Israeli M., Ravve I., and Yavneh I. Computation for electromigration in interconnects of microelectronic devices. J Comp Phys 167 (2001) 316-371
    • (2001) J Comp Phys , vol.167 , pp. 316-371
    • Averbuch, A.1    Israeli, M.2    Ravve, I.3    Yavneh, I.4
  • 100
    • 49249097901 scopus 로고    scopus 로고
    • Electromigration induced failure mechanism: multiphysics model and correlation with experiments
    • Cacho F., Fiori V., Doyen L., Chappaz C., Tavernier C., and Jaouen H. Electromigration induced failure mechanism: multiphysics model and correlation with experiments. Proc EuroSimE (2008) 1-6
    • (2008) Proc EuroSimE , pp. 1-6
    • Cacho, F.1    Fiori, V.2    Doyen, L.3    Chappaz, C.4    Tavernier, C.5    Jaouen, H.6
  • 102
    • 28144437204 scopus 로고
    • A fast level set method for propagating interfaces
    • Adalsteinsson D., and Sethian J.A. A fast level set method for propagating interfaces. J Comput Phys 118 (1995) 269-277
    • (1995) J Comput Phys , vol.118 , pp. 269-277
    • Adalsteinsson, D.1    Sethian, J.A.2
  • 103
    • 0032155928 scopus 로고    scopus 로고
    • A level-set approach to 3d reconstruction from range data
    • Whitaker R.T. A level-set approach to 3d reconstruction from range data. Int J Comput Vis 29 3 (1998) 203-231
    • (1998) Int J Comput Vis , vol.29 , Issue.3 , pp. 203-231
    • Whitaker, R.T.1
  • 104
    • 33646246209 scopus 로고    scopus 로고
    • Hierarchical RLE level set: a compact and versatile deformable surface representation
    • Houston B., Nielsen M.B., Batty B., Nilsson O., and Museth K. Hierarchical RLE level set: a compact and versatile deformable surface representation. ACM Trans Graph 25 1 (2006) 151-175
    • (2006) ACM Trans Graph , vol.25 , Issue.1 , pp. 151-175
    • Houston, B.1    Nielsen, M.B.2    Batty, B.3    Nilsson, O.4    Museth, K.5
  • 105
    • 0002437983 scopus 로고    scopus 로고
    • Numerical schemes for the Hamilton-Jacobi and level set equations on triangulated domains
    • Barth T.J., and Sethian J.A. Numerical schemes for the Hamilton-Jacobi and level set equations on triangulated domains. J Comput Phys 145 (1998) 1-40
    • (1998) J Comput Phys , vol.145 , pp. 1-40
    • Barth, T.J.1    Sethian, J.A.2
  • 106
    • 27544477772 scopus 로고    scopus 로고
    • An assumed-gradient finite element method for the level set equation
    • Mourad H.M., Dolbow J., and Garikipati K. An assumed-gradient finite element method for the level set equation. Int J Numer Methods Eng 64 (2005) 1009-1032
    • (2005) Int J Numer Methods Eng , vol.64 , pp. 1009-1032
    • Mourad, H.M.1    Dolbow, J.2    Garikipati, K.3
  • 107
    • 33846497921 scopus 로고    scopus 로고
    • Advances in the numerical treatment of grain-boundary migration: coupling with mass transport and mechanics
    • Mourad H.M., Dolbow J., and Garikipati K. Advances in the numerical treatment of grain-boundary migration: coupling with mass transport and mechanics. Comput Methods Appl Mech Eng 196 (2006) 595-607
    • (2006) Comput Methods Appl Mech Eng , vol.196 , pp. 595-607
    • Mourad, H.M.1    Dolbow, J.2    Garikipati, K.3


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