Publications 1995-2000

  1. H.J. Gao, "Mass-Conserved Morphological Evolution of Hypocycloid Cavities: A Model of Diffusive Crack Initiation with No Associated Energy Barrier," 1995, Proceedings of the Royal Society of London A, Vol. 448, pp. 465-483; 450, pp. 732-734 (corrigendum).
  2. J. Lee and H.J. Gao, "A Hybrid Finite Element Analysis of Interface Cracks," 1995, International Journal for Numerical Methods in Engineering, Vol. 38, pp. 2465-2482.
  3. N. Y. Chien, H.J. Gao, G. Herrmann and D. M. Barnett, "Diffusive Surface Instabilities Induced by Electromechanical Loading," 1996, Proceedings of the Royal Society of London A, Vol. 452, pp. 527-541.
  4. W. H. Mueller, H.J. Gao, C.-h. Chiu and S. Schmauder, "A Semi-Infinite Crack in Front of a Circular, Thermally Mismatched Heterogeneity," 1996, International Journal of Solids and Structures, Vol. 33, pp. 731-746.
  5. H.J. Gao, "A Theory of Local Limiting Speed in Dynamic Fracture," 1996, Journal of the Mechanics and Physics of Solids, Vol. 44, pp. 1453-1474.
  6. H.J. Gao and D. M. Barnett, ''An Invariance Property of Local Energy Release Rates in a Strip Saturation Model of Piezoelectric Fracture,'' 1996, International Journal of Fracture, Vol. 79, R25-R29.
  7. J.A. Zimmerman and H.J. Gao, ''Investigation of Relationships Between Dislocations and Crystal Surface Ledges'', 1996, Materials Research Symposium Proceedings, Vol. 399, pp. 401-406.
  8. C.S. Ozkan, W.D. Nix and H.J. Gao, ''Strain Relaxation in Heteroepitaxial Si1-xGex Films via Surface Roughening Processes,'' 1996, Materials Research Symposium Proceedings, Vol. 399, pp. 407-412.
  9. C.S. Ozkan, W.D. Nix and H.J. Gao, ''Anisotropic Behavior of Surface Roughening in Lattice Mismatched Heteroepitaxial Thin Films,'' 1996, Materials Research Symposium Proceedings, Vol. 436, pp. 487-492.
  10. H.J. Gao, T.Y. Zhang and P. Tong, "Local and Global Energy Release Rates for an Electrically Yielded Crack in a Piezoelectric Ceramic," 1997, Journal of the Mechanics and Physics of Solids, Vol. 45, pp. 491-510.
  11. P. Muellner, H.J. Gao and C. S. Ozkan, "A Twinned Wedge in a Si-Ge Epitaxial Film: Twofold Σ9 Twinning," 1997, Philosophical Magazine A, Vol. 75, pp. 925-938.
  12. C. S. Ozkan, W.D. Nix and H.J. Gao, "Strain Relaxation and Defect Formation in Heteroepitaxial Si1-xGex Films Via Surface Roughening Induced by Controlled Annealing Experiments," 1997, Applied Physics Letters, Vol. 70, pp. 2247-2249.
  13. C.C. Fulton and H.J. Gao, "Electrical Nonlinearity in Fracture of Piezoelectric Ceramics," 1997, Applied Mechanics Review, Vol. 50, pp. S56-S63.
  14. Y.J. Du, P. Segall and H.J. Gao, "Quasi-Static Dislocations in Three Dimensional Inhomogeneous Media," 1997, Geophysics Research Letters, Vol. 24, pp. 2347-2350
  15. H.J. Gao, "Elastic Waves in a Hyperelastic Solid Near Its Plane Strain Equibiaxial Cohesive Limit," 1997, Philosophical Magazine Letters, Vol. 76, pp. 307-314.
  16. C.S. Ozkan, W.D. Nix and H.J. Gao, ''Effect of Stresses on Defect Nucleation in Si1-xGex /Si Heteroepitaxial Systems,'' 1997, Materials Research Symposium Proceedings, Vol. 442, 373-378.
  17. C.S. Ozkan, W.D. Nix and H.J. Gao, ''Studies of morphological instability and dislocation formation in heteroepitaxial Si1-xGex /Si thin films via controlled annealing experiments,'' 1997, Materials Research Symposium Proceedings, Vol. 440, 323-328.
  18. H.J. Gao, C.C. Fulton, T.Y. Zhang, P. Tong and D.M. Barnett, ''Multiscale Energy Release Rates in Fracture of Piezoelectric Ceramics,'' 1997, in Smart Materials and Structures, Proceedings SPIE (eds. V. V. Varadan and J. Chandra), Vol. 3039, 228-233.
  19. H.J. Gao, "Nonlinear Continuum and Atomistic Modeling of Dynamic Fracture Instabilities," Advances In Fracture Research (eds. Editors: Karihaloo B.L., Mai Y.W., Ripley M.I., Ritchie R.O.), Vol. 1-6, 1981-1981, 1997.
  20. H.J. Gao, W.H. Mueller and G. Kemmer, "Mixed Mode Fracture in Epicycloid Specimens I. Thermal Inclusions," 1998, International Journal of Solids and Structures, Vol. 35, pp. 1617-1633.
  21. W.H. Mueller and H.J. Gao, "Mixed Mode Fracture in Epicycloid Specimens II. Point Force Loading," 1998, International Journal of Solids and Structures, Vol. 35, pp. 205-217.
  22. H.J. Gao and P.A. Klein, "Numerical Simulation of Crack Growth in an Isotropic Solid With Randomized Internal Cohesive Bonds," 1998, Journal of the Mechanics and Physics of Solids, Vol. 46, pp. 187-218.
  23. W.D. Nix and H.J. Gao, "Indentation Size Effects in Crystalline Materials: A Law for Strain Gradient Plasticity," 1998, Journal of the Mechanics and Physics of Solids, Vol. 46, pp. 411-425.
  24. A.B. Movchan, H.J. Gao and J.R. Willis, "Perturbation Studies of Plane Cracks," 1998, International Journal of Solids and Structures, Vol. 35, 3419-3453.
  25. F.F. Abraham and H.J. Gao, "Anomalous Brittle-Ductile Fracture Behaviors in FCC Crystals," 1998, Philosophical Magazine Letters, Vol. 78, pp. 307-312.
  26. F. F. Abraham, D. Brodbeck, W.E. Rudge, J.Q. Broughton, D. Schneider, B. Land, D. Lifka, J. Gerner, M. Rosenkrantz, J Skovira and H.J. Gao, "Ab initio Dynamics of Rapid Fracture," 1998, Modeling and Simulation in Materials Science and Engineering, Vol. 6, pp. 639-670.
  27. W.D. Nix and H.J. Gao, "An Atomistic Interpretation of Interface Stress," 1998, Scripta Materialia, Vol. 39, pp. 1653-1661.
  28. P.A. Klein and H.J. Gao, "Crack Nucleation and Growth as Strain Localization in a Virtual-Bond Continuum," 1998, Engineering Fracture Mechanics, Vol. 61, pp. 21-48.
  29. H.J. Gao, ''Hyperelastic Modeling of Dynamic Crack Tip Instabilities,'' 1998, Proceedings of the Third International Conference on Fracture and Strength of Solids, Key Engineering Materials, Vol. 145-149, Part I, pp. 291-300.
  30. C.C. Fulton and H.J. Gao, ''Nonlinear Fracture Mechanics of Piezoelectric Ceramics,'' 1998, in Smart Materials and Structures, Proceedings SPIE (eds. V. V. Varadan and J. Chandra), Vol. 3323, pp. 119-127.
  31. C.S. Ozkan, W.D. Nix and H.J. Gao, ''In-situ TEM observations of surface roughening and defect formation in lattice mismatched heteroepitaxial thin films," 1998, Materials Research Symposium Proceedings, Vol. 646, pp. 291-298.
  32. P. Gumbsch and H.J. Gao, "Dislocations Faster Than the Speed of Sound," 1999, Science, Vol. 283, No. 5404, pp. 965-968.
  33. H.J. Gao, C.S. Ozkan, W.D. Nix, J. A. Zimmerman and L. B. Freund, "Atomistic Models of Dislocation Formation at Crystal Surface Ledges in in Si1-xGex /Si(100) Heteroepitaxial Thin Films," 1999, Philosophical Magazine A, Vol. 79, pp. 349-370.
  34. H.J. Gao and W.D. Nix, "Surface Roughening of Heteroepitaxial Thin Films," 1999, Annual Review of Materials Research, Vol. 29, pp. 173-209.
  35. H.J. Gao, Y.G. Huang, W.D. Nix and J.W. Hutchinson, "Mechanism-Based Strain Gradient Plasticity - I. Theory," 1999, Journal of the Mechanics and Physics of Solids, Vol. 47, pp. 1239-1263.
  36. W.H. Mueller, W. Littmann and H.J. Gao, "Mixed Mode Fracture in Epicycloid Specimens III. Dislocations," 1999, International Journal of Solids and Structures, Vol. 36, pp. 3339-3348.
  37. H.J. Gao, Y.G. Huang, P. Gumbsch and A.J. Rosakis, "On Radiation-Free Transonic Motion of Cracks and Dislocations," 1999, Journal of the Mechanics and Physics of Solids, Vol. 47, pp. 1941-1961.
  38. Z.L. Li, H.K. Zhao and H.J. Gao, "A Numerical Study of Electro-Migration Voiding by Evolving Level Set Functions on a Fixed Cartesian Grid," 1999, Journal of Computational Physics, Vol. 152, pp. 281-304.
  39. H.J. Gao, L. Zhang, W. D. Nix, C.V. Thompson, E. Arzt, "Crack-Like Grain Boundary Diffusion Wedges in Thin Metal Films," 1999, Acta Materialia, Vol. 47, pp. 2865-2878.
  40. C.C. Fulton and H.J. Gao, ''Effects of Microstructure on Piezoelectric Fracture,'' 1999, Applied Mechanics in the Americas, eds. D. Pamplona, C. Steele, H.I. Weber, P.B. Gonsalves, I. Jasiuk, L. Bevilacqua, Vol. 7, pp. 635-638.
  41. H.J. Gao, Y.G. Huang, W.D. Nix and J.W. Hutchinson, ''A Multiscale Framework for the Mechanism-based Strain Gradient Plasticity,'' 1999, Applied Mechanics in the Americas, eds. D. Pamplona, C. Steele, H.I. Weber, P.B. Gonsalves, I. Jasiuk, L. Bevilacqua, Vol. 7, pp. 855-858.
  42. Y.G. Huang, H.J. Gao, W.D. Nix and J.W. Hutchinson, ''Dislocation Models for the Strain Gradient Plasticity,'' 1999, Applied Mechanics in the Americas, eds. D. Pamplona, C. Steele, H.I. Weber, P.B. Gonsalves, I. Jasiuk, L. Bevilacqua, Vol. 7, pp. 959-962.
  43. K. Langer and H.J. Gao, ''Scale Effects in Dynamic Brittle Fracture,'' 1999, Applied Mechanics in the Americas, eds. D. Pamplona, C. Steele, H.I. Weber, P.B. Gonsalves, I. Jasiuk, L. Bevilacqua, Vol. 7, pp. 1055-1058.
  44. Y.G. Huang, H.J. Gao and K.C. Hwang, ''Strain Gradient Plasticity at the Micron Scale,'' 1999, in Progress in Mechanical Behavior of Materials, Proceedings of ICM'8, eds. F. Ellyin and J.W. Provan, Victorial, British Columbia, Canada, May 16-21, 1999, Fleming Printing Ltd., Vol. III, pp. 1051-1056.
  45. C.C. Fulton and H.J. Gao, ''Microstructural Effects on Piezoelectric Cracking,'' Materials Research Symposium Proceedings, 1999, Vol. 604, pp. 33-38.
  46. Y.G. Huang, H.J. Gao, W.D. Nix and J.W. Hutchinson, "Mechanism-Based Strain Gradient Plasticity - II. Analysis," 2000, Journal of the Mechanics and Physics of Solids, Vol. 48, pp. 99-128.
  47. C.S. Ozkan, W.D. Nix and H.J. Gao, "Stress Driven Surface Evolution in Heteroepitaxial Thin Films: Anisotropy of 2-D Roughening Mode," 1999, Journal of Materials Research, Vol. 14, pp. 3247-3256.
  48. H.J. Gao, Y.G. Huang and W.D. Nix, "Modeling Plasticity at the Micron Scale," 1999, Naturwissenschaften, Vol. 86, pp. 507-515.
  49. C.C. Fulton and H.J. Gao, "Electromechanical Fracture in Piezoelectric Ceramics," 1999, International Journal of Fracture, Vol. 98, pp. L17-L22.
  50. T.X. Bai, D.D. Pollard and H.J. Gao, "Explanation for Fracture Spacing in Layered Materials," 2000, Nature, Vol. 403, No. 6771, pp. 753-756.
  51. J.A. Zimmerman, H.J. Gao and F.F. Abraham, "Generalized Stacking Fault Energies for Embedded Atom FCC Metals," 2000, Modeling and Simulation in Materials Science and Engineering, Vol. 8, pp. 103-115.
  52. F.F. Abraham and H.J. Gao, "How Fast Can Cracks Propagate?" 2000, Physical Review Letters, Vol. 84, pp. 3113-3116.
  53. P. Gumbsch and H.J. Gao, "Driving Force and Nucleation of Supersonic Dislocations," 1999, Journal of Computer-Aided Materials Design, Vol. 6, pp. 137-144.
  54. T.X. Bai, D.D. Pollard and H.J. Gao, "Spacing of Edge Fractures in Layered Materials," 2000, International Journal of Fracture, Vol. 103, pp. 373-395.
  55. M.X. Shi, Y.G. Huang, H.J. Gao and K.C. Hwang, "Non-Existence of Separable Crack Tip Field in Mechanism-Based Strain Gradient Plasticity," 2000, International Journal of Solids and Structures, Vol. 37, pp. 5995-6010.
  56. Y.G. Huang, Z.Y. Xue, H.J. Gao and Z.C. Xia, "A Study of Micro-Indentation Hardness Tests by Mechanism-Based Strain Gradient Plasticity," 2000, Journal of Materials Research, Vol. 15, pp. 1786-1796.
  57. J. Lore, H.J. Gao, and A. Aydin, "Viscoelastic Thermal Stress in Cooling Basalt Flows," 2000, Journal of Geophysical Research, Vol. 105, B10, pp. 23695-23709.
  58. Y.A. Antipov and H.J. Gao, "Exact Solution of Integro-Differential Equations of Diffusion Along a Grain Boundary," 2000, Quarterly Journal of Mechanics and Applied Mathematcs, Vol. 53, pp. 645-674.
  59. M. Lane, R.H. Dauskardt, A.Vainchtein and H.J. Gao, 2000, "Plasticity Contributions to Interface Adhesion in Thin-Film Interconnect Structures," Journal of Materials Research, Vol. 15, pp. 2758-2769.
  60. P.A. Klein and H.J. Gao, "Study of Crack Dynamics Using the Virtual Internal Bond Method," Multiscale Deformation and Fracture in Materials and Structures - The James R. Rice 60th Anniversary Volume, eds. T.-J. Chuang and J. W. Rudnicki, pp. 275-309, Kluwer Academic Publishers, Dordrecht, The Netherlands, December 2000. 
  61. H.J. Gao, A. Vainchtein, P.A. Klein and E.P. Chen, "Introducing a Length Scale into Modeling of Fracture via a Strain-Gradient Elasticity Theory,'' 2000, Advances in Computational Engineering and Sciences (S. N. Atluri and F.W. Brust, eds.), International Conference on Computational Engineering and Sciences, pp. 1766-1771.
  62. H.J. Gao and A. Vainchtein, "Higher-Order Gradient Elasticity Theories of Fracture,'' 2000, Mechanics 2000 (Yilong Bai and Wei Yang, eds.), Beijing, pp. 64-69.
  63. P.A. Klein, H.J. Gao, A. Vainchtein, H. Fujimoto, J. Lee and Q. Ma, "Micromechanics-Based Modeling of Interfacial Debonding in Multiplayer Structures," 2000, Materials Research Symposium Proceedings, Vol. 594, pp. 371-376.
  64. J.A. Zimmerman, F.F. Abraham and H.J. Gao, "Atomistic simulation of transonic dislocations," 2000, Materials Research Symposium Proceedings, Vol. 578, pp. 229-234.