Effect of surface stress on the configurational equilibrium of voids and cracks

Journal of the Mechanics and Physics of Solids

Volumn 47, Issue 12, 1999, Pages 2469-2492

  Wu, Chien H ^a  

^a UNIVERSITY OF ILLINOIS AT CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CRACKS; ELASTIC MODULI; PERTURBATION TECHNIQUES; TENSILE STRESS; TOUGHNESS; TRACTION (FRICTION);

GRIFFITH CRACK; LINEAR SURFACE ENERGY DENSITY; SURFACE STRESS;

STRESS ANALYSIS;

EID: 0033355524     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(99)00021-6     Document Type: Article

References (27)

1. Asaro R.J., Tiller W.A. Interface morphology development during stress corrosion cracking: Part I. Via surface diffusion. Met. Trans. 3:1972;1789-1796.
2. Chiu C.H., Gao H. Stress singularities along a cycloid rough surface. Int. J. Solids Structures. 30:1993;1983-3012.
3. Chuang T-J. Effect of surface tension on the toughness of glass. J. Am. Ceram. Soc. 70:1987;160-164.
4. Ferrante J., Smith J.R., Rose J.H. Diatomic molecules and metallic adhesion, cohesion, and chemisorption: a single binding-energy relation. Physical Review Letters. 50:1983;1385-1386.
5. Freund L.B. Evolution of waviness on the surface of a strained elastic solid due to stress-driven diffusion. Int. J. Solids Structures. 32:1995;911-923.
6. Freund L.B. A surface chemical potential for elastic solids. J. Mech. Phys. Solids. 46:1998;1835-1844.
7. Gao H. A boundary perturbation analysis for elastic inclusions and interfaces. Int. J. Solids Structures. 28:1991;703-725.
8. Gao H. Mass-conserved morphological evolution of hypocycloid cavities: a model of diffusive crack initiation with no associated energy barrier. Proc. R. Soc. Lond. A. 488:1995;465-483.
9. Grilhe J. Study of roughness formation induced by homogeneous stress at the free surfaces of solids. Acta Metall. Mater. 41:1993;909-913.
10. Grinfeld M.A. Instability of the separation boundary between a nonhydrostatically stressed elastic body and a melt. Sov. Phys. Dokl. 31:1986;831-834.
11. Grinfeld M.A. Stress corrosion and stress induced surface morphology of epitaxial films. Scanning Microscopy. 8:1994;869-882.
12. Gurtin M.E., Murdoch A.I. Surface stress in solids. Int. J. Solids Structures. 14:1978;431-440.
13. Leo P.H., Sekerka R.F. The effect of surface stress on crystal-melt and crystal-crystal equilibrium. Acta Metall. 37:1989;3119-3138.
14. Murr L.E. Interfacial Phenomena in Metals and Alloys. 1975;Addison-Wesley.
15. Norris A.N. The energy of a growing elastic surface. Int. J. Solids Structures. 35:1998;5237-5252.
16. Rice J.R., Chuang T.J. Energy variations in diffusive cavity growth. J. Amer. Ceramic Soc. 64:1981;46-53.
17. Rose J.H., Ferrante J., Smith J.R. Universal binding energy curves for metals and bimetallic interfaces. Physical Review Letters. 47:1981;675-678.
18. Rose J.H., Smith J.R., Ferrante J. Universal features of bonding in metals. Physical Review B. 28:1983;1835-1845.
19. Suo Z., Wang W. Diffusive void bifurcation in stressed solid. J. Appl. Phys. 76:1994;3410-3421.
20. Spencer B.J., Meiron D.I. Nonlinear evolution of the stress-driven morphological instability in a two dimensional semi-infinite solid. Acta Metall. Mater. 42:1994;3629-3641.
21. Srolovitz D. On the stability of surfaces of stressed solids. Acta Metall. 37:1989;621-625.
22. Wang W., Suo Z. Shape change of a pore in a stressed solid via surface diffusion motivated by surface and elastic energy variation. J. Mech. Phys. Solids. 45:1997;709-729.
23. Wu C.H. Plane-strain buckling of a crack in a harmonic solid subjected to crack-parallel compression. J. Appl. Mech. 46:1979;597-603.
24. Wu C.H. Plane-strain buckling of cracks in incompressible solids. J. Elasticity. 10:1980;163-177.
25. Wu C.H. The chemical potential for stress-driven surface diffusion. J. Mech. Phys. Solids. 44:1996;2059-2077.
26. Wu C.H., Hsu J.H., Chen C.H. The effect of surface stress on the stability of surfaces of stressed solids. Acta Materialia. 46:1998;3755-3760.
27. Yang W.H., Srolovitz D.J. Surface morphology evolution in stressed solids: surface diffusion controlled crack initiation. J. Mech. Phys. Solids. 42:1994;1551-1574.