Singularity representation of multiscale damage due to inhomogeneity with mesomechanics consideration

Multiscaling in Applied Science and Emerging Technology, Fundamentals and Applications in Mesomechanics: Proceedings of the Sixth International Conference for Mesomechanics

Volumn , Issue , 2004, Pages 1-15

  Sih, G C ^a,b   Tang, X S ^a,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

Defects; Degree of Homogeneity; Failure Evolution; Macro and Micro Damage; Material Behavior; Scaling of Distance; Strength Singularities; Transitional Stages

Indexed keywords

DEFECTS; ELASTICITY; FAILURE (MECHANICAL); MICROCRACKING; NUCLEATION; PLASTIC DEFORMATION; QUALITY CONTROL; STRENGTH OF MATERIALS;

MESOMECHANICS; MICRO-DAMAGES; SCALING OF DISTANCE; STRENGTH SINGULARITIES;

FRACTURE MECHANICS;

EID: 6344237137     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (29)

1. G. C. Sih, Thermomechanics of solids: nonequilibrium and irreversibility, J. of Theoretical and Applied Fracture Mechanics, 9(3) (1988) 175-198.
2. G. C. Sih, Some basic problems in nonequilibrium thermomechanics, S. Sienietyez and P. Salamon, eds., Taylor and Francis, New York, (1992) 218-247.
3. G. C. Sih, Micromechanics associated with thermal/mechanical interaction for polycrystals, Mesomechanics 2000: Role of Mechanics for Development of Science and Technology, edited by G. C. Sih, Tsinghua Univ. Press, Vol. 1 (2000) 143-152.
4. G. C. Sih, Implication of scaling hierarchy associated with nonequilibrium: field and particulate. Prospects of meso-mechanics in the 21st century, G.C. Sih and V.E. Panin, eds. Special issue of J. of Theoretical and Applied Fracture Mechanics, 37, (2002) 335-369.
5. G. C. Sih, B. Liu (2002), Mesofracture mechanics: a necessary link, Prospects of mesomechanics in the 21st century, G.C. Sih and V.E. Panin, eds., Special issue of of Theoretical and Applied Fracture Mechanics, 37, (2002)371-395.
6. F. F. Abraham and H. J. Gao, How fast can cracks propagate? Physical Review Letters, 84 (14) (2000) 3113-3116.
7. H. Noguchi and Y. Furuya, A method of seamlessly combining a crack tip molecular dynamics enclave with a linear elastic outer domain in simulating elastic-plastic crack advance, International Journal of Fracture, 87(1997) 309-329.
8. Y. Furuya, H. Noguchi, A combined method of molecular dynamics with micromechanics improved by moving the molecular dynamics region successively in the simulation of elastic-plastic crack propagation, International Journal of Fracture, 94 (1998) 17-31.
9. Mesomechanics of Computation and Design of Use-Specific Materials: Simula-ion and Fabrication of Advanced Materilas with mesocopic structures, G. C. Sih, Sakai and V. E. Panin, eds., Tokyo, Japan (2003).
10. M. L. Williams, Stress singularities resulting from various boundary conditions in angular comers of plates in extension, J. Appl. Mech., 18 (1952) 526-528.
11. G. C. Sih and J. W. Ho, Sharp notch fracture strength characterized by critical energy density, J. of Theoretical and Applied Fracture Mechanics, 16(3) (1991) 179-214.
12. J. W. Hutchinson, Plastic stress and strain fields at a crack tip, J. Mechanics Physics of Solids, 16 (1968) 337-347.
13. G. C. Sih, The mechanics aspects of ductile fracture, Continuum Models of Discrete Systems, J. W. Provan, ed., University of Waterloo Press, Canada (1977) 361-386.
14. G. C. Sih, Introduction to a series on mechanics of fracture, Methods of analysis and solutions of crack problems, G. C. Sih, ed., Noordhoff International Publishing (Now Kluwer Academic Publishers, Boston), The Netherlands (1973) IX-XII.
15. G. C. Sih, Survive with the time o'clock of nature, G. C. Sih and L.Nobile, eds., Tipografia Moderna, Bologna, Italy (2004) 1-18.
16. G. C. Sih, Mathematics needed for the development of mesomechanics: complications associated with singularity, dimensionality and inhomogeneity, G. C. Sih and C. P. Spyropoulos, eds., Eptalofos SA, Athens, Greece (2004) 1-22.
17. G. C. Sih, Mechanics of fracture initiation and propagation, Kluwer Academic Publishers, The Netherlands, (1991).
18. G. C. Sih, Fracture Mechanics of engineering structural components, Fracture Mechanics Methodology, G.C. Sih and L. Faria, eds., Martinus, Nijhoff Publishers (Now Kluwer Academic Publishers, Boston) (1984) 35-101.
19. G. C. Sih and R. C. Chu, Characterization of material inhomogeneity by stationary values of strain energy density, J. of Theoretical and Applied Fracture Mechanics, 5(3) (1986) 151-161.
20. G. C. Sih and C. H. Chue, Stability and integrity of mechanical joints in flight vehicles, J. of Theoretical and Applied Fracture Mechanics, 10(2) (1988) 135-149.
21. G. C. Sih and T. B. Hong, Integrity of edge-debonded patch and cracked panel, J. of Theoretical and Applied Fracture Mechanics, 12(2) (1989) 121-139.
22. N. I. Muskhelishvili, Some basic problems of the mathematical theory of elasticity, P. Noordhoff Ltd.,Groningen, Holland (1953).
23. P. Matic and G. C. Sih, A pseudo-elastic material damage model - Part I: strain energy density criterion, J. of Theoretical and Applied Fracture Mechanics, 3(3) (1985) 193-207.
24. P. Matic and G. C. Sih, A pseudo-elastic material damage model - Part II: application to the scaling of specimen size, material behavior and loading rate, J. of Theoretical and Applied Fracture Mechanics, 3(3) (1985) 209-225.
25. G. C. Sih and Z.F. Song, Damage analysis of tetragonal perovskite structure ceramics implicated by asymptotic field solutions and boundary conditions, J. of Theoretical and Applied Fracture Mechanics, 38(1) (2002) 15-36.
26. G. P. Cherepanov, Mechanics of Brittle Fracture, McGraw-Hill, New York, (1979).
27. D. C. Dugdale, Yielding of steel sheets containing slits, Journal of the Mechanics and Physics of Solids, 8 (1960) 100-104.
28. G. I. Barenblatt, Concerning equilibrium cracks forming during brittle fracture: the stability of isolated cracks, relation with energetic theories, Applied Mathematics and Mechanics (PMM) 23 (1959) 1273-1282.
29. G. C. Sih and E.P. Chen, Dilatational and distortional behavior of cracks in magnetoelectroelastic materials J. of Theoretical and Applied Fracture Mechanics, 39(3), (2003) 1-21.