Mode I solution for micron-sized crack

Engineering Fracture Mechanics

Volumn 72, Issue 12 SPEC. ISS., 2005, Pages 1779-1804

  Tong, Pin ^a,b   Lam, David C C ^b   Yang, Fan ^b,c  

^a UNIVERSITY OF CALIFORNIA SAN DIEGO   (United States)

^b HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

^c SOUTHWEST JIAOTONG UNIVERSITY   (China)

Author keywords

A. Crack tip field; A. Fracture; C. Asymptotic analysis; Strain gradient material

Indexed keywords

BOUNDARY LAYERS; DEFORMATION; FRACTURE; NANOSTRUCTURED MATERIALS; PARTIAL DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; STRAIN;

CRACK BEHAVIOR; CRACK DEFORMATION; DEFORMATION ENERGY; NANOMETER SCALE;

CRACK PROPAGATION;

FRACTURE MECHANICS;

EID: 18244382567     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2004.10.013     Document Type: Article

References (33)

1. Ghani T, Armstrong M, Auth C, Bost M, Charvat P, Glass G, et al. A 90 nm high volume manufacturing logic technology featuring novel 45 nm gate length strained silicon CMOS transistors. IEEE International Electron Devices Meeting, Washington, DC, 2003. p. 978-980
2. Kim CH, Roy K, Hsu S, Alvandpour A, Krishnamurthy RK, Borkar S. A process variation compensating technique for sub-90 nm dynamic circuits. IEEE Symposium on VLSI Circuits, Kyoto, Japan, 2003. p. 205-206
3. Y. Takao S. Nakai N. Horiguchi Extended 90 nm CMOS technology with high manufacturability for high-performance, low-power, RF/analog applications Fujitsu Sci Tech J 39 2003 32-39
4. W.D. Nix Mechanical properties of thin films Metall. Trans. A20 1989 2217-2245
5. N.A. Fleck G.M. Muller M.F. Ashby Strain gradient plasticity: Theory and experiments Acta Metall. Mater. 42 1994 475-487
6. W.J. Poole M.F. Ashby N.A. Fleck Micro-hardness of annealed and work-hardened copper polycrystals Scr. Metall. Mater. 34 1996 559-564
7. J.S. Stolken A.G. Evans A microbend test method for measuring the plasticity length scale Acta Metall. Mater. 46 1998 5109-5115
8. D.C.C. Lam A.C.M. Chong Indentation model and strain gradient plasticity law for glassy polymers J. Mater. Res. 14 1999 3784-3788
9. A.C.M. Chong D.C.C. Lam Strain gradient plasticity effect in indentation hardness of polymers J. Mater. Res. 14 1999 4103-4110
10. D.C.C. Lam F. Yang A.C.M. Chong J. Wang P. Tong Experiments and theory in strain gradient elasticity J. Mech. Phys. Solids 51 2003 1477-1503
11. R.A. Toupin Elastic materials with couple stresses Arch. Ration. Mech. Anal. 11 1962 385-414
12. W.T. Koiter Couple stresses in the theory of elasticity. I and II Proc. K. Ned. Akad. Wet. (B) 67 1964 17-44
13. R.D. Mindlin Micro-structure in linear elasticity Arch. Ration. Mech. Anal. 16 1964 51-78
14. R.D. Mindlin Second gradient of strain and surface tension in linear elasticity Int. J. Solids Struct. 1 1965 417-438
15. N.A. Fleck J.W. Hutchinson Strain gradient plasticity. In: T.Y. Wu, editor. Advances in applied mechanics vol. 33 1997 Academic Press New York 295-361
16. Tong P, Yang F, Lam DCC, Wang J. Size effect on mode III crack behavior, submitted for publication
17. Z.C. Xia J.W. Hutchinson Crack-tip field in strain gradient plasticity J. Mech. Phys. Solids 44 1996 1621-1648
18. Y. Huang L. Zhang T.F. Guo K.C. Hwang Mixed mode near-tip fields for cracks in materials with strain-gradient effects J. Mech. Phys. Solids 45 1997 439-465
19. Y. Huang J.Y. Chen T.F. Guo L. Zhang K.C. Hwang Analytic and numerical studies on mode I and mode II fracture in elastic-plastic materials with strain-gradient effects Int. J. Fract. 100 1999 1-27
20. Y. Wei J.W. Hutchinson Steady-state crack growth and work of fracture for solids characterized by strain gradient plasticity J. Mech. Phys. Solids 45 1997 1253-1273
21. L. Zhang Y. Huang J.Y. Chen K.C. Hwang The mode III full-field solution in elastic materials with strain gradient effects Int. J. Fract. 92 1998 325-348
22. J.Y. Chen Y. Huang K.C. Hwang Mode I and mode II plane-stress near-tip fields for cracks in materials with strain-gradient effects Key Engng. Mater. 145-149 1998 19-28
23. J.Y. Chen Y. Wei Y. Huang J.W. Hutchinson K.C. Hwang The crack tip fields in strain gradient plasticity: The asymptotic and numerical analyses Engng. Fract. Mech. 64 1999 625-648
24. M.X. Shi Y. Huang K.C. Hwang Fracture in a higher-order elastic continuum J. Mech. Phys. Solids 48 2000 2513-2538
25. D.J. Unger E.C. Aifantis Strain gradient elasticity theory for antiplane shear cracks. Part I: Oscillatory displacements Theor. Appl. Fract. Mech. 34 2000 243-252
26. D.J. Unger E.C. Aifantis Strain gradient elasticity theory for antiplane shear cracks. Part II: Monotonic displacements Theor. Appl. Fract. Mech. 34 2000 253-265
27. H. Jiang Y. Huang Z. Zhang K.C. Hwang Fracture in mechanism-based strain gradient plasticity J. Mech. Phys. Solids 49 2001 979-993
28. E. Radi Strain-gradient effects on steady-state crack growth in linear hardening materials J. Mech. Phys. Solids 51 2003 543-573
29. T. Kailath A.H. Sayed B. Hassibi Linear estimation 2000 Prentice Hall Upper Saddle River, NJ
30. E. Sternberg R. Muki The effect of couple-stress on the stress concentration around a crack Int. J. Solids Struct. 3 1967 69-95
31. E.C. Aifantis On the microstructural origin of certain inelastic models Trans. ASME: J. Engng. Mater. Technol. 106 1984 326-330
32. P. Tong F. Yang D.C.C. Lam J. Wang Size effects of hair-sized structures-torsion Key Engineering Materials 261-263 2004 11-22
33. Y.C. Fung P. Tong Classical and computational solid mechanics 2001 World Scientific Singapore