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Mechanical Properties of Nanostructures

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Nanotribology and Nanomechanics

Abstract

Structural integrity is of paramount importance in all devices. Load applied during the use of devices can result in component failure. Cracks can develop and propagate under tensile stresses, leading to failure. Knowledge of the mechanical properties of nanostructures is necessary for designing realistic MEMS/NEMS and BioMEMS/BioNEMS devices. Elastic and inelastic properties are needed to predict deformation from an applied load in the elastic and inelastic regimes, respectively. The strength property is needed to predict the allowable operating limit. Some of the properties of interest are hardness, elastic modulus, bending strength, fracture toughness and fatigue strength. Many of the mechanical properties are scale dependent therefore these should be measured at relevant scales. Atomic force microscopy and nanoindenters can be used satisfactorily to evaluate the mechanical properties of micro/nanoscale structures. Commonly used materials in MEMS/NEMS are single-crystal silicon and silicon-based materials, e.g., SiO2 and polysilicon films deposited by low-pressure chemical vapor deposition. An early study showed silicon to be a mechanically resilient material in addition to its favorable electronic properties. Single-crystal SiC deposited on large-area silicon substrates is used for high-temperature micro/nanosensors and actuators. Amorphous alloys can be formed on both metal and silicon substrates by sputtering and plating techniques, providing more flexibility in surface-integration. Electroless deposited Ni-P amorphous thin films have been used to construct microdevices, especially using the so-called LIGA techniques. Micro/nanodevices need conductors to provide power, as well as electrical/magnetic signals to make them functional. Electroplated gold films have found wide applications in electronic devices because of their ability to make thin films and process simply. Polymers, such as poly (methyl methacrylate) (PMMA) and poly (dimethylsiloxane) (PDMS) are commonly used in BioMEMS/BioNEMS, such as micro/nanofluidic devices, because of ease of manufacturing and reduced cost. The use of polymers also offers a wide range of material properties to allow tailoring of biological interactions for improved biocompatibility. This chapter presents a review of mechanical property measurements on the micro/nanoscale of various materials of interest and stress and deformation analyses of nanostructures.

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References

  1. R.S. Muller, R.T. Howe, S.D. Senturia, R.L. Smith, R.M. White: Microsensors (IEEE, New York 1990)

    Google Scholar 

  2. I. Fujimasa: Micromachines: A New Era in Mechanical Engineering (Oxford Univ. Press, Oxford 1996)

    Google Scholar 

  3. W.S. Trimmer (ed.): Micromachines and MEMS, Classic and Seminal Papers to 1990 (IEEE, New York 1997)

    Google Scholar 

  4. B. Bhushan: Tribology Issues and Opportunities in MEMS (Kluwer, Dordrecht 1998)

    Google Scholar 

  5. B. Bhushan: Handbook of Micro/Nanotribology, 2nd edn. (CRC, Boca Raton 1999)

    Google Scholar 

  6. B. Bhushan: Nanotribology and Nanomechanics – An Introduction (Springer, Heidelberg 2005)

    Google Scholar 

  7. G.T.A. Kovacs: Micromachined Transducers Sourcebook (WCB McGraw-Hill, Boston 1998)

    Google Scholar 

  8. S.D. Senturia: Microsystem Design (Kluwer, Boston 2001)

    Google Scholar 

  9. M. Elwenspoek, R. Wiegerink: Mechanical Microsensors (Springer, Berlin 2001)

    Google Scholar 

  10. M. Gad-el-Hak: The MEMS Handbook (CRC, Boca Raton 2002)

    Google Scholar 

  11. T.R. Hsu: MEMS and Microsystems: Design and Manufacture (McGraw-Hill, Boston 2002)

    Google Scholar 

  12. M. Madou: Fundamentals of Microfabrication: The Science of Miniaturization, 2nd edn. (CRC, Boca Raton 2002)

    Google Scholar 

  13. A. Hierlemann: Integrated Chemical Microsensor Systems in CMOS Technology (Springer, Berlin 2005)

    Google Scholar 

  14. K.E. Drexler: Nanosystems: Molecular Machinery, Manufacturing and Computation (Wiley, New York 1992)

    Google Scholar 

  15. G. Timp (ed.): Nanotechnology (Springer, Berlin, Heidelberg 1999)

    Google Scholar 

  16. M.S. Dresselhaus, G. Dresselhaus, Ph. Avouris: Carbon Nanotubes – Synthesis, Structure, Properties and Applications (Springer, Berlin 2001)

    Google Scholar 

  17. E.A. Rietman: Molecular Engineering of Nanosystems (Springer, Berlin, Heidelberg 2001)

    Google Scholar 

  18. H.S. Nalwa (ed.): Nanostructured Materials and Nanotechnology (Academic, San Diego 2002)

    Google Scholar 

  19. W.A. Goddard, D.W. Brenner, S.E. Lyshevski, G.J. Iafrate: Handbook of Nanoscience, Engineering, and Technology (CRC, Boca Raton 2003)

    Google Scholar 

  20. A. Manz, H. Becker (eds.): Microsystem Technology in Chemistry and Life Sciences, Topics in Current Chemistry 194 (Springer, Heidelberg 1998)

    Google Scholar 

  21. J. Cheng, L.J. Kricka (eds.): Biochip Technology (Harwood Academic Publishers, Philadelphia 2001)

    Google Scholar 

  22. M.J. Heller, A. Guttman (eds.): Integrated Microfabricated Biodevices (Dekker, New York, N.Y. 2001)

    Google Scholar 

  23. C. Lai Poh San, E.P.H. Yap (eds.): Frontiers in Human Genetics (World Scientific, Singapore 2001)

    Google Scholar 

  24. C.H. Mastrangelo, H. Becker (eds.): Microfluidics and BioMEMS, Proc. of SPIE, Vol.4560 (SPIE, Bellingham, Washington 2001)

    Google Scholar 

  25. H: Becker, L.E. Lacascio: Polymer Microfluidic Devices, Talanta 56, 267–287 (2002)

    CAS  Google Scholar 

  26. D.J. Beebe, G.A. Mensing, G.M. Walker: Physics and applications of microfluidics in biology, Annu. Rev. Biomed. Eng. 4, 261–286 (2002)

    CAS  Google Scholar 

  27. A. van der Berg (ed.): Lab-on-a-Chip: Chemistry in Miniaturized Synthesis and Analysis Systems (Elsevier, Amsterdam, Netherlands 2003)

    Google Scholar 

  28. C.P. Poole, F.J. Owens: Introduction to Nanotechnology (Wiley, Hoboken, New Jersey 2003)

    Google Scholar 

  29. J.V. Zoval, M.J. Madou: Centrifuge-based fluidic platforms, Proc. IEEE 92, 140–153 (2000)

    Google Scholar 

  30. R. Raiteri, M. Grattarola, H. Butt, P. Skladal: Micromechanical cantilever-based biosensors, Sensors and Actuators B: Chemical 79, 115–126 (2001)

    Google Scholar 

  31. W.C. Tang, A.P. Lee: Defense applications of MEMS, MRS Bulletin 26, 318–319 (2001)

    Google Scholar 

  32. M.R. Taylor, P. Nguyen, J. Ching, K.E. Peterson: Simulation of microfluidic pumping in a genomic DNA blood-processing cassette, J. Micromech. Microeng. 13, 201–208 (2003)

    CAS  Google Scholar 

  33. K. Park (ed.): Controlled Drug Delivery: Challenges and Strategies (American Chemical Society, Washington, DC 1997)

    Google Scholar 

  34. R.S. Shawgo, A.C.R. Grayson, Y. Li, M.J. Cima: BioMEMS for drug delivery, Current Opinion in Solid State & Mat. Sci. 6, 329–334 (2002)

    CAS  Google Scholar 

  35. P.A. Oeberg, T. Togawa, F.A. Spelman: Sensors in Medicine and Health Care (Wiley, New York 2004)

    Google Scholar 

  36. S.N. Bhatia, C.S. Chen: Tissue engineering at the micro-scale, Biomedical Microdevices 2, 131–144 (1999)

    Google Scholar 

  37. R.P. Lanza, R. Langer, J. Vacanti (eds.): Principles of Tissue Engineering (Academic Press, San Diego 2000)

    Google Scholar 

  38. E. Leclerc, K.S. Furukawa, F. Miyata, T. Sakai, T. Ushida, T. Fujii: Fabrication of microstructures in photosensitive biodegradable polymers for tissue engineering applications, Biomaterials 25, 4683–4690 (2004)

    CAS  Google Scholar 

  39. T.H. Schulte, R.L. Bardell, B.H. Weigl: Microfluidic technologies in clinical diagnostics, Clinica Chimica Acta 321, 1–10 (2002)

    CAS  Google Scholar 

  40. B. Bhushan: Introduction to Tribology (Wiley, New York 2002)

    Google Scholar 

  41. B. Bhushan: Macro- and microtribology of MEMS materials. In: Modern Tribology Handbook, ed. by B. Bhushan (CRC, Boca Raton 2001) pp.1515–1548

    Google Scholar 

  42. B. Bhushan: Principles and Applications of Tribology (Wiley, New York 1999)

    Google Scholar 

  43. S. Johansson, J.A. Schweitz, L. Tenerz, J. Tiren: Fracture testing of silicon microelements in-situ in a scanning electron microscope, J. Appl. Phys. 63, 4799–4803 (1988)

    CAS  Google Scholar 

  44. F. Ericson, J.A. Schweitz: Micromechanical fracture strength of silicon, J. Appl. Phys. 68, 5840–5844 (1990)

    Google Scholar 

  45. E. Obermeier: Mechanical and thermophysical properties of thin film materials for MEMS: Techniques and devices, Micromechan. Struct. Mater. Res. Symp. Proc. 444, 39–57 (1996)

    Google Scholar 

  46. C.J. Wilson, A. Ormeggi, M. Narbutovskih: Fracture testing of silicon microcantilever beams, J. Appl. Phys. 79, 2386–2393 (1995)

    Google Scholar 

  47. W.N. Sharpe, Jr., B. Yuan, R.L. Edwards: A new technique for measuring the mechanical properties of thin films, J. Microelectromech. Syst. 6, 193–199 (1997)

    Google Scholar 

  48. K. Sato, T. Yoshioka, T. Anso, M. Shikida, T. Kawabata: Tensile testing of silicon film having different crystallographic orientations carried out on a silicon chip, Sens. Actuators A 70, 148–152 (1998)

    Google Scholar 

  49. S. Greek, F. Ericson, S. Johansson, M. Furtsch, A. Rump: Mechanical characterization of thick polysilicon films: Young’s modulus and fracture strength evaluated with microstructures, J. Micromech. Microeng. 9, 245–251 (1999)

    CAS  Google Scholar 

  50. D.A. LaVan, T.E. Buchheit: Strength of polysilicon for MEMS devices, Proc. SPIE 3880, 40–44 (1999)

    CAS  Google Scholar 

  51. E. Mazza, J. Dual: Mechanical behavior of a μm-sized single crystal silicon structure with sharp notches, J. Mech. Phys. Solids 47, 1795–1821 (1999)

    CAS  Google Scholar 

  52. T. Yi, C.J. Kim: Measurement of mechanical properties for MEMS materials, Meas. Sci. Technol. 10, 706–716 (1999)

    CAS  Google Scholar 

  53. H. Kahn, M.A. Huff, A.H. Heuer: Heating effects on the Young’s modulus of films sputtered onto micromachined resonators, Microelectromech. Struct. Mater. Res. Symp. Proc. 518, 33–38 (1998)

    CAS  Google Scholar 

  54. S. Johansson, F. Ericson, J.A. Schweitz: Influence of surface-coatings on elasticity, residual-stresses, and fracture properties of silicon microelements, J. Appl. Phys. 65, 122–128 (1989)

    CAS  Google Scholar 

  55. R. Ballarini, R.L. Mullen, Y. Yin, H. Kahn, S. Stemmer, A.H. Heuer: The fracture toughness of polysilicon microdevices: A first report, J. Mater. Res. 12, 915–922 (1997)

    CAS  Google Scholar 

  56. H. Kahn, R. Ballarini, R.L. Mullen, A.H. Heuer: Electrostatically actuated failure of microfabricated polysilicon fracture mechanics specimens, Proc. R. Soc. London A 455, 3807–3823 (1999)

    CAS  Google Scholar 

  57. A.M. Fitzgerald, R.H. Dauskardt, T.W. Kenny: Fracture toughness and crack growth phenomena of plasma-etched single crystal silicon, Sensor. Actuat. A 83, 194–199 (2000)

    Google Scholar 

  58. T. Tsuchiya, A. Inoue, J. Sakata: Tensile testing of insulating thin films: Humidity effect on tensile strength of SiO2 films, Sens. Actuators A 82, 286–290 (2000)

    Google Scholar 

  59. J.A. Connally, S.B. Brown: Micromechanical fatigue testing, Exp. Mech. 33, 81–90 (1993)

    Google Scholar 

  60. K. Komai, K. Minoshima, S. Inoue: Fracture and fatigue behavior of single-crystal silicon microelements and nanoscopic AFM damage evaluation, Microsyst. Technol. 5, 30–37 (1998)

    Google Scholar 

  61. T. Namazu, Y. Isono, T. Tanaka: Evaluation of size effect on mechanical properties of single-crystal silicon by nanoscale bending test using AFM, J. Microelectromech. Syst. 9, 450–459 (2000)

    Google Scholar 

  62. S. Sundararajan, B. Bhushan: Development of AFM-based techniques to measure mechanical properties of nanoscale structures, Sens. Actuators A 101, 338–351 (2002)

    Google Scholar 

  63. X. Li, B. Bhushan: Fatigue studies of nanoscale structures for MEMS/NEMS applications using nanoindentation techniques, Surf. Coat. Technol. 163-164, 521–526 (2003)

    CAS  Google Scholar 

  64. X. Li, B. Bhushan, K. Takashima, C.W. Baek, Y.K. Kim: Mechanical characterization of micro/nanoscale structures for MEMS/NEMS applications using nanoindentation techniques, Ultramicroscopy 97, 481–494 (2003)

    CAS  Google Scholar 

  65. G. Wei, B. Bhushan, N. Ferrell, D. Hansford: Microfabrication and nanomechanical characterization of polymer MEMS for biological applications, J. Vac. Sci. Technol. A 23, 811–819 (2005)

    CAS  Google Scholar 

  66. T. Hsu, N. Sun: Residual stresses/strains analysis of MEMS. In: Proc. Int. Conf. on Modeling and Simulation of Microsystems, Semiconductors, Sensors and Actuators, ed. by M. Laudon, B. Romanowicz (Computational Publications, Cambridge 1998) pp.82–87

    Google Scholar 

  67. A. Kolpekwar, C. Kellen, R.D. (Shawn) Blanton: Fault model generation for MEMS. In: Proc. Int. Conf. on Modeling and Simulation of Microsystems, Semiconductors, Sensors and Actuators, ed. by M. Laudon, B. Romanowicz (Computational Publications, Cambridge 1998) pp.111–116

    Google Scholar 

  68. H.A. Rueda, M.E. Law: Modeling of strain in boron-doped silicon cantilevers. In: Proc. Int. Conf. on Modeling and Simulation of Microsystems, Semiconductors, Sensors and Actuators, ed. by M. Laudon, B. Romanowicz (Computational Publications, Cambridge 1998) pp.94–99

    Google Scholar 

  69. M. Heinzelmann, M. Petzold: FEM analysis of microbeam bending experiments using ultra-micro indentation, Comput. Mater. Sci. 3, 169–176 (1994)

    CAS  Google Scholar 

  70. C.J. Wilson, P.A. Beck: Fracture testing of bulk silicon microcantilever beams subjected to a side load, J. Microelectromech. Syst. 5, 142–150 (1996)

    Google Scholar 

  71. B. Bhushan, G.B. Agrawal: Stress analysis of nanostructures using a finite element method, Nanotechnology 13, 515–523 (2002)

    CAS  Google Scholar 

  72. B. Bhushan, G.B. Agrawal: Finite element analysis of nanostructures with roughness and scratches, Ultramicroscopy 97, 495–501 (2003)

    CAS  Google Scholar 

  73. K.E. Petersen: Silicon as a mechanical material, Proc. IEEE 70, 420–457 (1982)

    CAS  Google Scholar 

  74. B. Bhushan, S. Sundararajan, X. Li, C.A. Zorman, M. Mehregany: Micro/nanotribological studies of single-crystal silicon and polysilicon and SiC films for use in MEMS devices. In: Tribology Issues and Opportunities in MEMS, ed. by B. Bhushan (Kluwer, Dordrecht 1998) pp.407–430

    Google Scholar 

  75. S. Sundararajan, B. Bhushan: Micro/nanotribological studies of polysilicon and SiC films for MEMS applications, Wear 217, 251–261 (1998)

    CAS  Google Scholar 

  76. X. Li, B. Bhushan: Micro/nanomechanical characterization of ceramic films for microdevices, Thin Solid Films 340, 210–217 (1999)

    CAS  Google Scholar 

  77. H: Becker, C. Gaertner: Polymer Microfabrication Methods for Microfluidic Analytical Applications, Electrophoresis 21, 12–26 (2000)

    CAS  Google Scholar 

  78. J.C. McDonald, D.C.  Duffy, J.R.  Anderson, D.T. Chiu, H.  Wu, O.J.A. Schueller, G.M Whitesides: Fabrication of microfluidic systems in poly(dimethylsiloxane), Electrophoresis 21, 27–40 (2000)

    CAS  Google Scholar 

  79. B. Ellis: Polymers: A Property Database, Available on compact disk (CRC Press, Boca Raton 2000) also see www.polymersdatabase.com

    Google Scholar 

  80. J. Brandrup, E.H. Immergut: Polymer Handbook (Wiley, New York 1989)

    Google Scholar 

  81. J.E. Mark: Polymers Data Handbook (Oxford Univ. Press, Oxford 1999)

    Google Scholar 

  82. B. Bhushan, X. Li: Nanomechanical characterization of solid surfaces and thin films, Int. Mater. Rev. 48, 125–164 (2003)

    CAS  Google Scholar 

  83. B.R. Lawn, A.G. Evans, D.B. Marshall: Elastic/plastic indentation damage in ceramics: The median/radial system, J. Am. Ceram. Soc. 63, 574 (1980)

    CAS  Google Scholar 

  84. S. Sundararajan, B. Bhushan, T. Namazu, Y. Isono: Mechanical property measurements of nanoscale structures using an atomic force microscope, Ultramicroscopy 91, 111–118 (2002)

    CAS  Google Scholar 

  85. R.J. Roark: Formulas for Stress and Strain, 6th edn. (McGraw-Hill, New York 1989)

    Google Scholar 

  86. R.W. Hertzberg: Deformation and Fracture Mechanics of Engineering Materials, 3rd edn. (Wiley, New York 1989) pp.277–278

    Google Scholar 

  87. T.K. Ning (ed): Properties of Silicon, EMIS Datareviews Series No. 4 (INSPEC, Institution of Electrical Engineers, London 1988)

    Google Scholar 

  88. C.T.C. Nguyen, R.T. Howe: An integrated CMOS micromechanical resonator high-Q oscillator, IEEE J. Solid-State Circ. 34, 440–455 (1999)

    Google Scholar 

  89. L.J. Hornbeck: A digital light processingTM update – status and future applications, Proc. Soc. Photo-Opt. Eng. 3634, 158–170 (1999)

    Google Scholar 

  90. M. Tanaka: Fracture toughness and crack morphology in indentation fracture of brittle materials, J. Mater. Sci. 31, 749 (1996)

    CAS  Google Scholar 

  91. B. Bhushan, S. Venkatesan: Mechanical and tribological properties of silicon for micromechanical applications: A review, Adv. Info. Stor. Syst. 5, 211–239 (1993)

    Google Scholar 

  92. B. Bhushan, B.K. Gupta: Handbook of Tribology: Materials, Coatings, and Surface Treatments (McGraw-Hill, New York 1997)

    Google Scholar 

  93. T. Tsuchiya, O. Tabata, J. Sakata, Y. Taga: Specimen size effect on tensile strength of surface-micromachined polycrystalline silicon thin films, J. Microelectromech. Syst. 7, 106–113 (1998)

    CAS  Google Scholar 

  94. T. Yi, L. Li, C.J. Kim: Microscale material testing of single crystalline silicon: Process effects on surface morphology and tensile strength, Sens. Actuators A 83, 172–178 (2000)

    Google Scholar 

  95. F.W.J. Billimeyer: Textbook of Polymer Science (Wiley, New York 1984)

    Google Scholar 

  96. Anonymous: Rohm and Haas General Information on PMMA

    Google Scholar 

  97. W. Wunderlich (ed): Physical Constants of Poly(methyl methacrylate), 2nd edn. (Wiley, New York 1975)

    Google Scholar 

  98. E. Calvet, J.P. Bros, H. Pinelle: Compt. Rend. 260, 1164 (1965)

    CAS  Google Scholar 

  99. K. Eiermann: Kolloid-Z. 198, 5 (1965)

    Google Scholar 

  100. G. Hochstetter, A. Jimenez, J.P. Cano, E. Felder: An attempt to determine the true stress-strain curves of amorphous polymer by nanoindentation, Tribol. Inter. 36, 973–985 (2003)

    CAS  Google Scholar 

  101. S.P. Timoshenko, J.N. Goodier: Theory of Elasticity, 3rd edn. (McGraw-Hill, New York 1970)

    Google Scholar 

  102. J.E. Shigley, L.D. Mitchell: Mechanical Engineering Design, 4th edn. (McGraw-Hill, New York 1993)

    Google Scholar 

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Bhushan, B. (2008). Mechanical Properties of Nanostructures. In: Nanotribology and Nanomechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77608-6_14

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