Abstract
In proposing a workshop to discuss “Shock Dynamics and Non-Equilibrium Mesoscopic Fluctuations in Solids”, it was pointed out that: “The existence of mesoscale inhomogeneities and stress fluctuations has certainly been recognized by experimentalists and theoretical analysts. However, the issue of heterogeneous and non-equilibrium shock front dynamics on the mesoscale, has largely been ignored, in spite of the fact that these must strongly influence the phenomena such as fracture and phase transitions.” The following specific questions were posed: (1) “What experimental data are available and what are their implications?” (2) “Are there new mesoscale theories for shock dynamics?” (3) “How do the theories affect the existing fracture and phase transition paradigms?” and (4) “What kinds of new computational and materials models are needed?” [1]
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Y. Horie, private communication.
D.L. McDowell, Applications of Continuum Damage Mechanics to Fatigue and Fracture, ASTM STP 1315. pp. 1–3 (1997).
D.R. Curran, L. Seaman, and D.A. Shockey, “Dynamic failure of solids,” Physics Reports 147, pp. 253–388 (1987).
L. Davison and A.L. Stevens, “Continuum measures of spall damage,” J. Appl. Phys. 43, pp. 988–994 (1972).
Y.L. Bai, J. Bai, H.L. Li, F.J. Ke, and M.F. Xia, “Damage evolution, localization and failure of solids subjected to Impact Loading,” Int. J. Impact Engng. 24, pp. 685–701 (2000).
G.I. Kanel, S.V. Rasorenov, and V.E. Fortov, “The failure waves and spallation in homogeneous brittle materials,” in Shock Compression of Condensed Matter—1991 (eds. S.C. Schmidt, R.D. Dick, J.W. Forbes and D.G. Tasker), Elsevier Science Publishers B.V., Amsterdam, pp. 451–454 (1992).
R.J. Clifton, “Analysis of failure waves in glasses,” Appl. Mech Rev. 46, pp. 540–546 (1993).
J.E. Field, G.M. Swallowe, and S.N. Heavens, “Ignition mechanisms of explosives during mechanical deformation,” Proc. Roy. Soc. London, A382, pp. 231–244 (1982).
T.H. Zhang, Damage of a Propellant and Its Stability of Combustion, PhD Thesis, Chinese Academy of Sciences, Beijing (1999).
P. Szuromi, “Microstructural Engineering of Materials,” Science 277, p. 1183 (1997
B. Budiansky, “Micromechanics,” in Advances and Trends in Structural and Solid Mechanics (eds. A.K. Noor and J.M. Housner), Pergamon Press, Oxford, pp. 3–12 (1983).
T. Mura, Micromechanics of Defects in Solids, Martinus Nijhoff Publishers, Hague (1982).
G.I. Barenblatt, “Micromechanics of fracture,” in Theoretical and Applied Mechanics (eds. S.R. Bodner, J. Singer, A. Solan and Z. Hashin), Elsevier Science Publishers B.V., Amsterdam (1992)
V.E. Panin, “Overview on mesomechanics of plastic deformation and fracture of solids,” Theo. Appl. Frac. Mech 30, pp. 1–11 (1998
L.W. Yuan, “The rupture theory of rheological materials with defects,” in Rheology of Bodies with Defects (ed. Ren Wang), Kluwer Academic Publishers, Dordrecht, pp. 1–20 (1997)
X.S. Xing, “The foundation of nonequilibrium statistical fracture mechanics,” Advances in Mechanics 21 (in Chinese), pp. 15–168 (1991).
M.F. Xia, W.S. Han, F.J. Ke, and Y.L Bai, “Statistical meso-scopic damage mechanics and damage evolution induced catastrophe,” Advances in Mechanics 25 (in Chinese). pp. 1-40, pp. 145–173 (1995).
L.E. Reichl, A Modem Course in Statistical Physics, University of Texas Press. Austin (1980).
S.T. Pantelides, “What is materials physics, anyway?,” Physics Today, Sept., pp. 67–69 (1992).
G.C. Sih, “Micromechanics associated with thermal/mechanical interaction for polycrustals,” in Mesomechanics 2000 (ed. G.C. Sih), Tsinghua University Press, Beijing, pp. 1–18 (2000).
Y.L. Bai, F.J. Ke, and M.F. Xia, “Formulation of statistical evolution of microcracks in solids,” Acta Mechanica Sinica 7, pp. 59–66 (1991
Y.L. Bai, M.F. Xia, F.J. Ke, and H.L. Li, “Damage field equation and criterion for damage localization,” in Rheology of Bodies with Defects 25, (ed. R. Wang), Kluwer Academic Publishers, Dordrecht, pp. 55–66 pp. 1–40 (1998)
F.J. Ke, Y.L. Bai, and M.F. Xia, “Evolution of ideal micro-crack system,” Science in China, Ser. A 33, pp. 1447–1459 (1990).
Y.L. Bai, W.S. Han, and J. Bai, “A statistical evolution equation of microdamage and its application,” ASTM STP 1315 pp. 150–162 (1997).
A. Needleman and V. Tvergaard, “Analysis of plastic flow localization in metals,” Appl. Mech. Rev., 45, pp. 243–260 (1992).
G.I. Taylor and R.S. Tankin, “Gas dynamics of detonation” in: Fundamentals of Gas Dynamics, (ed. H.W. Emmons), Princeton Univ. Press, Princeton, NJ, Section G (1958).
M.A. Meyers, Dynamic Behavior of Materials, Wiley, N.Y., (1994)
M.F. Xia, Y.J. Wei, J. Bai, F.J. Ke, and Y.L. Bai, “Evolution induced catastrophe in a non-linear dynamic model of material failure,” J. Non-Linear Dynamics 22, pp. 205–224 (2000
Y.L. Bai, C.S. Lu, F.J. Ke, and M.F. Xia, “Evolution induced catastrophe,” Physics Letter A 185, pp. 196–200 (1994).
M.F. Xia, F.J. Ke, J. Bai, and Y.L. Bai, “Threshold diversity and trans-scales sensitivity in a finite nonlinear evolution model of materials failure,” Physics Letters A 236, pp. 60–64 (1997).
Y.J. Wei, F.J. Ke, M.F. Xia, and Y.L. Bai, “Evolution induced catastrophe of material failure,” Pure Appl. Geophy. 157, pp. 1945–1957 (2000).
M.F. Xia, Y.J. Wei, F.J. Ke, and Y.L. Bai, “Critical sensitivity and trans-scale fluctuations in catastrophic rupture,” to appear in Pure Appl. Geophy. (2001)
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer Science+Business Media New York
About this chapter
Cite this chapter
Bai, Y.L., Xia, M.F., Wei, Y.J., Ke, F.J. (2003). Non-Equilibrium Evolution of Collective Microdamage and Its Coupling with Mesoscopic Heterogeneities and Stress Fluctuations. In: Horie, Y., Davison, L., Thadhani, N.N. (eds) High-Pressure Shock Compression of Solids VI. Shock Wave and High Pressure Phenomena. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0013-7_7
Download citation
DOI: https://doi.org/10.1007/978-1-4613-0013-7_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6554-2
Online ISBN: 978-1-4613-0013-7
eBook Packages: Springer Book Archive