Surface effects on the near-tip stresses for mode-I and mode-III cracks

Journal of Applied Mechanics, Transactions ASME

Volumn 75, Issue 1, 2008, Pages 0110011-0110015

  Wang, Gang Feng ^a   Feng, Xi Qiao ^b   Wang, Tie Jun ^a   Gao, Wei ^b  

^a XI'AN JIAOTONG UNIVERSITY   (China)

^b TSINGHUA UNIVERSITY   (China)

Author keywords

Crack; Nanomechanics; Stress; Surface elasticity

Indexed keywords

CRACK TIPS; ELASTICITY; FINITE ELEMENT METHOD; INTERFACIAL ENERGY; STRESS CONCENTRATION; SURFACE CHEMISTRY; SURFACE TENSION;

ANALYTICAL SOLUTIONS; BLUNT CRACK; CRACK FRONTS; CRACK-TIP STRESSES; CURVATURE RADIUS; ELASTIC PARAMETERS; FINITE ELEMENT (FE) SIMULATIONS; LOCAL ASYMPTOTIC; NUMERICA L RESULTS; STRESS DISTRIBUTIONS; SURFACE EFFECTS; SURFACE ELASTICITIES; SURFACE ELEMENTS; SURFACE ENERGIES;

CRACKS;

EID: 47149091872     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2712233     Document Type: Article

References (20)

1. Buehler, M. J., and Gao, H. J., 2006, "Dynamical Fracture Instabilities Due to Local Hyperelasticity at Crack Tips," Nature (London), 439, pp. 307-310.
2. Buehler, M. J., Abraham, F. F., and Gao, H. J., 2003, "Hyperelasticity Governs Dynamic Fracture at a Critical Length Scale," Nature (London), 426, pp. 141-146.
3. Buehler, M. J., Gao, H. J., and Huang, Y. G., 2004, "Continuum and Atomistic Studies of the Near-Crack Field of a Rapidly Propagating Crack in a Harmonic Lattice," Theor. Appl. Fract. Mech., 41, pp. 21-42.
4. Abraham, F. F., Broughton, J. Q., Bernstein, N., and Kaxiras, E., 1998, "Spanning the Continuum to Quantum Length Scales in a Dynamic Simulation of Brittle Fracture," Europhys. Lett., 44, pp. 783-787.
5. Miller, R. E., and Shenoy, V. B., 2000, "Size-Dependent Elastic Properties of Nanosized Structural Elements," Nanotechnology, 11, pp. 139-147.
6. Shenoy, V. B., 2002, "Size-Dependent Rigidities of Nanosized Torsional Elements," Int. J. Solids Struct., 39, pp. 4039-4052.
7. Sharma, P., Ganti, S., and Bhate, N., 2003, "Effect of Surfaces on the Size-Dependent Elastic State of Nanoinhomogeneities," Appl. Phys. Lett., 82, pp. 535-537.
8. Cammarata, R. C., Sieradzki, K., and Spaepen, F., 2000, "Simple Model for Interface Stresses With Application to Misfit Dislocation Generation in Epitaxial Thin Films," J. Appl. Phys., 87, pp. 1227-1234.
9. Dingreville, R., Qu, J. M., and Cherkaoui, M., 2005, "Surface Free Energy and Its Effect on the Elastic Behavior of Nano-Sized Particles, Wires and Films," J. Mech. Phys. Solids, 53, pp. 1827-1854.
10. Gurtin, M. E., and Murdoch, A. I., 1975, "A Continuum Theory of Elastic Material Surfaces," Arch. Ration. Mech. Anal., 57, pp. 291-323.
11. Gurtin, M. E., Weissmuller, J., and Larche, F., 1998, "A General Theory of Curved Deformable Interfaces in Solids at Equilibrium," Philos. Mag. A, 78, pp. 1093-1109.
12. Yang, F. Q., 2004, "Size-Dependent Effective Modulus of Elastic Composite Materials: Spherical Nanocavities at Dilute Concentrations," J. Appl. Phys., 95, pp. 3516-3520.
13. Gao, W., Yu, S. W., and Huang, G. Y., 2006, "Finite Element Characterization of the Size-Dependent Mechanical Behaviour in Nanosystems," Nanotechnology, 17, pp. 1118-1122.
14. Sharma, P., and Ganti, S., 2004, "Size-Dependent Eshelby's Tensor for Embedded Nano-Inclusions Incorporating Surface/Interface Energies," ASME, ASME J. Appl. Mech., 71, pp. 663-670.
15. Duan, H. L., Wang, J., Huang, Z. P., and Karihaloo, B. L., 2005, "Size-Dependent Effective Elastic Constants of Solids Containing Nanoinhomogeneities With Interface Stress," J. Mech. Phys. Solids, 53, pp. 1574-1596.
16. Wu, C. H., 1999, "The Effect of Surface Stress on the Configurational Equilibrium of Voids and Cracks," J. Mech. Phys. Solids, 47, pp. 2469-2492.
17. Horgland, R. G., Daw, M. S., and Hirth, J. P., 1991, "Some Aspects of Forces and Fields in Atomic Models of Crack Tips," J. Mater. Res., 6, pp. 2565-2571.
18. Creager, M., and Paris, P. C., 1967, "Elastic Field Equations for Blum Cracks With Reference to Stress Corrosion Cracking," Int. J. Fract. Mech., 3, pp. 247-252.
19. Smith, E., 2004, "A Comparison of Mode I and Mode III Results for the Elastic Stress Distribution in the Immediate Vicinity of a Blunt Notch," Int. J. Eng. Sci., 42, pp. 473-481.
20. England, A. E., 1971, Complex Variable Methods in Elasticity, Wiley, New York.