Multiscale mechanics in microelectronics: A paradigm in miniaturization

Journal of Electronic Packaging

Volumn 127, Issue 3, 2005, Pages 255-261

  Geers, M G D ^a   Kouznetsova, V ^a,b   Brekelmans, W A M ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b NETHERLANDS INSTITUTE FOR METALS RESEARCH   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUUM MECHANICS; MECHANICAL PROPERTIES; MICROSTRUCTURE;

GRADIANT EFFECTS; MULTISCALE MECHANICS; MULTISCALE THEORIES; SUBMICRON APPLICATIONS;

MICROELECTRONICS;

EID: 26844479242     PISSN: 10437398     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1939007     Document Type: Review

References (40)

1. Ramakrishna, G., Pucha, R. V., and Sitaraman, S. K., 2002, "Micro-Scale Plasticity Effects in Microvia Reliability Analysis," in 52nd Electronic Components and Technology Conf., San Diego, IEEE-CPMT and EIA, pages 1304-1309.
2. Fleck, N. A., Muller, G. M., Ashby, M. F., and Hutchinson, J. W., 1994, "Strain Gradient Plasticity: Theory and Experiment," Acta Metall. Mater., 42(2), pp. 475-487.
3. Fleck, N. A., and Hutchinson, J. W., 1997, "Strain Gradient Plasticity," Adv. Appl. Mech., 33, pp. 295-361.
4. Arzt, E., 1998, "Size Effects in Materials Due to Microstructural and Dimensional Constraints: a Comparative Review," Acta Mater., 46(16), pp. 5611-5626.
5. Stölken, J. S., and Evans, A. G., 1998, "A Microbend Test Method for Measuring the Plasticity Length Scale," Acta Mater., 46(14), pp. 5109-5115.
6. Gao, H., Huang, Y., Nix, W. D., and Hutchinson, J. W., 1999, "Mechanism-Based Strain Gradient Plasticity," J. Mech. Phys. Solids, 49, pp. 1239-1263.
7. Elmustafa, A. A., Eastman, J. A., Rittner, M. N., Weertman, J. R., and Stone, D. S., 2000, "Indentation Size Effect: Large Grained Aluminum Versus Nanocrystalline Aluminum-Zirconium Alloys," Scr. Mater., 43(10), pp. 951-955.
8. Takahiro, N., Yoshitada, I., and Takeshi, T., 2000, "Evaluation of Size Effect on Mechanical Properties of Single Crystal Silicon by Nanoscale Bending Test Using Afm," J. Microelectromech. Syst., 9(4), pp. 450-459.
9. Ding, J. N., Meng, Y. G., and Wen, S. Z., 2001, "Specimen Size Effect on Mechanical Properties of Polysilicon Microcantilever Beams Measured by Deflection Using a Nanoindenter," Mater. Sci. Eng., B, 83(1-3), pp. 42-47.
10. Klein, M., Hadrboletz, A., Weiss, B., and Khatibi, G., 2001, "The 'Size Effect' on the Stress-Strain, Fatigue, and Fracture Properties of Thin Metallic Foils," Mater. Sci. Eng., A, 319-321, pp. 924-928.
11. Andrievski, R. A., and Glezer, A. M., 2001, "Size Effects in Properties of Nanomaterials," Scr. Mater., 44(8-9), pp. 1621-1624.
12. Gil Sevillano, J., Ocaa Arizcorreta, I., and Kubin, L. P., 2001, "Intrinsic Size Effects in Plasticity by Dislocation Glide," Mater. Sci. Eng., A, 309-310, pp. 393-405.
13. Bažant, Z. P., and Guo, Z., 2002, "Size Effect and Asymptotic Matching Approximations in Strain-Gradient Theories of Micro-Scale Plasticity," Int. J. Solids Struct., 39, pp. 5633-5657.
14. Benzerga, A. A., Hong, S. S., Kim, K. S., Needleman, A., and Van der Giessen, E., 2001, "Smaller is Softer: An Inverse Size Effect in a Cast Aluminum Alloy," Acta Mater., 49(15), pp. 3071-3083.
15. Geers, M. G. D., Kouznetsova, V., and Brekelmans, W. A. M., 2001, "Gradient-Enhanced Computational Homogenization for the Micro-Macro Scale Transition," Journal De Physique IV, 11(5), pp. 145-152.
16. Kouznetsova, V., Geers, M. G. D., and Brekelmans, W. A. M., 2002, "Multi-Scale Constitutive Modeling of Heterogeneous Materials With a Gradient-Enhanced Computational Homogenization Scheme," Int. J. Numer. Methods Eng., 54, pp. 1235-1260.
17. Kouznetsova, V. G., 2002, "Computational Homogenization for the Multi-Scale Analysis of Multi-Phase Materials," Ph.D. thesis, Eindhoven University of Technology, Department of Mechanical Engineering, The Netherlands.
18. Chokshi, A. H., Rosen, A., Karch, J., and Gleiter, H., 1989, "On the Validity of the Hall-Petch Relationship in Nanocrystalline Materials," Scr. Metall., 23(10), pp. 1679-1684.
19. Lloyd, D. J., 1994, "Particle Reinforced Aluminum and Magnesium Matrix Composites," Int. Mater. Rev., 39, pp. 1-23.
20. Ma, Q., and Clarke, D. R., 1994, "Size Dependent Hardness of Silver Single Crystals," J. Mater. Res., 10(4), pp. 853-863.
21. McElhaney, K. W., Vlassak, J. J., and Nix, W. D., 1998, "Determination of Indenter Tip Geometry and Indentation Contact Area for Depth-Sensing Indentation Experiments," J. Mater. Res., 13, pp. 1300-1306.
22. Shan, Z., and Sitaraman, S. K., 2003, "Elastic-Plastic Characterization of Thin-Films Using Nanoindentation Technique," Thin Solid Films, 437, pp. 176-181.
23. Nix, W. D., 1989, "Mechanical Properties of Thin Films," Metall. Trans. A, 20A, pp. 2217-2245.
24. Aifantis, E. C., 1984, "On the Microstructural Origin of Certain Inelastic Models," ASME J. Eng. Mater. Technol., 106, pp. 326-330.
25. Xia, Z. C., and Hutchinson, J. W., 1996, "Crack Tip Fields in Strain Gradient Plasticity." J. Mech. Phys. Solids, 44, pp. 1621-1648.
26. Li, X., and Cescotto, S., 1996, "Finite Element Method for Gradient Plasticity at Large Strains," Int. J. Numer. Methods Eng., 39, pp. 619-633.
27. de Borst, R., and Pamin, J., 1996, "Some Novel Developments in Finite Element Procedures for Gradient-Dependent Plasticity," Int. J. Numer. Methods Eng., 39, pp. 2477-2505.
28. Haung, Y., Zhang, L., Guo, T. F., and Hwang, K.-C., 1997, "Mixed Mode Near Tip Fields for Cracks in Materials With Strain Gradient Effects," J. Mech. Phys. Solids, 45, pp. 439-465.
29. Acharya, A., and Bassani, J. L., 2000, "Incompatibility and Crystal Plasticity," J. Mech. Phys. Solids, 48, pp. 1565-1595.
30. Chen, S. H., and Wang, T. C., 2000, "A New Hardening Law for Strain Gradient Plasticity," Acta Metall., 48, pp. 3997-4005.
31. Gao, H., and Huang, Y., 2001, "Taylor-Based Nonlocal Theory of Plasticity," Int. J. Solids Struct., 38, pp. 2615-2637.
32. Fleck, N. A., and Hutchinson, J. W., 2001, "A Reformulation of Strain Gradient Plasticity," J. Mech. Phys. Solids, 49, pp. 2245-2271.
33. Bassani, J. L., Needleman, A., and van der Giessen, E., 2001, "Plastic Flow in a Composite: A Comparison of Nonlocal Continuum and Discrete Dislocation Predictions," Int. J. Solids Struct., 38, pp. 833-853.
34. Smit, R. J. M., Brekelmans, W. A. M., and Meijer, H. E. H., 1998, "Prediction of the Mechanical Behavior of Non-linear Systems by Multi-Level Finite Element Modeling," Comput. Methods Appl. Mech. Eng., 155, pp. 181-192.
35. Miehe, C., Schröder, J., and Schotte, J., 1999, "Computational Homogenization Analysis in Finite Plasticity, Simulation of Texture Development in Polycrystalline Materials," Comput. Methods Appl. Mech. Eng., 171, pp. 387-418.
36. Lee, K., and Ghosh, S., 1999, "A Microstructure Based Numerical Method for Constitutive Modeling of Composite and Porous Materials," Mater. Sci. Eng., 272, pp. 120-133.
37. 2 Multiscale Approach for Modeling the Elasto-Viscoplastic Behaviour of Long Fibre SiC/Ti Composite Materials," Comput. Methods Appl. Mech. Eng., 183, pp. 309-330.
38. Kouznetsova, V., Brekelmans, W. A. M., and Baaijens, F. P. T., 2001. "An Approach to Micro-Macro Modeling of Heterogeneous Materials," Comput. Mech., 7(1), pp. 37-48.
39. Miehe, C., 2002, "Strain-Driven Homogenization of Inelastic Microstructures and Composites Based on an Incremental Variational Formulation," Int. J. Numer. Methods Eng., 55, pp. 1285-1322.
40. Shu, J. Y., Fleck, N. A., van der Giessen, E., and Needleman, A., 2001, "Boundary Layers in Constrained Plastic Flow: Comparison of Nonlocal and Discrete Dislocation Plasticity," J. Mech. Phys. Solids, 49, pp. 1361-1395.