Asymptotic micro-stress field dependency on mixed boundary conditions dictated by micro-structural asymmetry: Mode I macro-stress loading

Theoretical and Applied Fracture Mechanics

Volumn 46, Issue 1, 2006, Pages 1-14

  Sih, G C ^a,b   Tang, X S ^c  

^a EAST CHINA UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b Lehigh University   (United States)

^c CHANGSHA UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Closed microcrack; Contacting crack surface; Eigen value; Micro stress intensity; Micro macro shear moduli; Microcrack model; Multiscaling; Restraining stress; Scale multiplier; Strong singularity; System homogeneity

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL GEOMETRY; CRACK INITIATION; EIGENVALUES AND EIGENFUNCTIONS; MICROCRACKS; PLASTICITY; STRESS ANALYSIS; STRESS INTENSITY FACTORS;

CONTACTING CRACK SURFACE; RESTRAINING STRESS; SCALE MULTIPLIER;

FRACTURE MECHANICS;

BOUNDARY CONDITIONS; COMPUTATIONAL GEOMETRY; CRACK INITIATION; EIGENVALUES AND EIGENFUNCTIONS; FRACTURE MECHANICS; MICROCRACKS; PLASTICITY; STRESS ANALYSIS; STRESS INTENSITY FACTORS;

EID: 33745946429     PISSN: 01678442     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tafmec.2006.05.007     Document Type: Article

References (16)

1. McDowell D.L., and Bennet V.P. A microcrack growth law for multiaxial fatigue. Fatigue Fracture Engineering Material Structure. 19 7 (1996) 821-837
2. Hong Y.S., Gu Z.Y., Fang B., and Bai Y.L. Collective evolution characteristics and computer simulation of short fatigue cracks. Philosophical Magazine A 75 6 (1997) 517-1531
3. Kruzie J.J., Campbell J.P., and Ritchie R.O. On the fatigue behavior of gamma-based titanium aluminides: role of small cracks. Acta Material 47 3 (1999) 801-816
4. P.C. Paris, The growth of cracks due to variations in load, Ph.D. Dissertation, Department of Mechanics, Lehigh University, 1962.
5. Sih G.C., and Barthelemy B.M. Mixed mode fatigue crack growth predictions. Engineering Fracture Mechanics 13 3 (1980) 439-451
6. Jones R., Barter S., Molent L., and Pitt S. Crack growth at low K's and the Frost Dugdale law. Journal of the Chinese Institute of Engineers 27 6 (2004) 869-875 (Special Issue in Honour of Professor G.C. Sih)
7. Sih G.C., and Tang X.S. Dual scaling damage model associated with weak singularity for macroscopic crack possessing a micro/mesoscopic notch tip. Journal of Theoretical and Applied Fracture Mechanics 42 1 (2004) 1-24
8. Tang X.S., and Sih G.C. Weak and strong singularities reflecting multiscale damage: micro-boundary conditions for free-free, fixed-fixed and free-fixed constraints. Journal of Theoretical and Applied Fracture Mechanics 43 1 (2005) 5-62
9. Sih G.C., and Tang X.S. Scaling of volume energy density function. Journal of Theoretical and Applied Fracture Mechanics 43 2 (2005) 211-231
10. Sih G.C., and Tang X.S. Singularity representation of multiscale damage due to inhomogeneity with mesomechanics consideration. In: Sih G.C., Kermanidis Th.B., and Pantelakis Sp.G. (Eds). Multiscaling in Applied Science and Emerging Technology (2004), University of Patras, Patras, Greece 1-15
11. Sih G.C. Mechanics of Fracture Initiation and Propagation (1991), Kluwer Academic Publishing, Boston
12. Sih G.C., and Tang X.S. Triple scale segmentation of non-equilibrium system simulated by macro-micro-atomic line model with mesoscopic transitions. Journal of Theoretical and Applied Fracture Mechanics 44 2 (2005) 116-145
13. Sih G.C. Spatial and temporal scaling affected by system inhomogeneity: atomic,microscopic and macroscopic. In: Gdoutos E.E. (Ed). Failure Analysis of Nano and Engineering, Materials and Structures. 16th European Conference of Fracture, July 3-7 (2006), Springer
14. Sih G.C. Segmented multiscale approach by microscoping and telescoping. In: Sih G.C. (Ed). Multiscaling in Molecular and Continuum Mechanics: Interaction of Size and Time from Macro to Nano (2006), Springer, The Netherlands 259-289
15. G.C. Sih, Survive with the time o'clock of nature, in: G.C. Sih, L. Nobile (Eds.), Restoration Recycling and Rejuvenation Technology for Engineering and Architecture application, Tipografia Moderna, 2004, pp. 1-18.
16. Sih G.C., and Ho J.W. Sharp notch fracture strength characterized by critical energy density. Journal of Theoretical and Applied Fracture Mechanics 16 3 (1991) 179-214