Abstract
Practical knowledge of material failure and its control goes back to chipping in the stone age, forging in the bronze, and annealing of blown glass by the Phoenicians. The theory, however, is not nearly as systematic as in physics or as quantitative as in biology. Analysis of plastic flow began in France in the nineteenth century and a theory of brittle fracture was put forth in England early in the twentieth, but important issues such as brittle-ductile transition and combined plastic and brittle behavior are only now beginning to be understood, with dislocation behavior at crack tips being one of several central issues. Since crack-tip behavior is very sensitive to impurities, grain structure, temperature, strain rate, and many other factors, the possibility of an exact, predictive theory for complex solids is no more promising than for sociology, where so many different complex considerations interact. Geometric nonlinearities, anisotropy, and phase changes present additional complications.
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
Amsden, A.A., Ruppel, H.M., and Hirt, C.W. SALE: A Simplified ALE Computer Program for Fluid Flow at All Speeds, Los Alamos National Laboratory Report LA-8095 (1980).
Blewett, P. Private Communication (1992).
Bowden, F.P. and Yoffe, Y.D. Initiation and Growth of Explosion in Liquids and Solids, Cambridge University Press (1952).
Chadwick, P. Continuum Mechanics, George Allen and Unwin Ltd., London (1976).
Chaudhri, M.M. Photographic evidence for ignition by friction in a deflagrating explosive single crystal, J. Phys. D: Appl. Phys. 25 (1992).
Dienes, J.K. A Statistical Theory of Fragmentation. In: Y.S. Kim, ed. Proc. 19th U.S. Rock Mechanics Symposium, Stateline Nevada (1978).
Dienes, J.K. On the Analysis of Rotation and Stress Rate in Deforming Bodies, Acta Mechanica, 32, pp. 217–232 (1979).
Dienes, J.K. and Margolin, L.G. A Computational Approach to Rock Fragmentation, in D.A. Summers, Ed., The State of the Art in Rock Mechanics, Proc. 21st U.S. National Symposium on Rock Mechanics. Rolla, Missouri (1980).
Dienes, J.K. On the Effect of Anisotropy in Explosive Fragmentation, in H.H. Einstein, ed., Rock Mechanics from Research to Application, Proc. 22nd U.S. Symposium on Rock Mechanics, M.I.T., Cambridge, MA (1981).
Dienes, J.K. Permeability, Percolation and Statistical Crack Mechanics, in R.E. Goodman and F.E. Heuze, Issues in Rock Mechanics, Proc. 23rd Symposium on Rock Mechanics, Berkeley, CA (1982a).
Dienes, J.K. A Frictional Hot-Spot Theory for Propellant Sensitivity, in Proc. 2nd JANNAF Propulsion Systems Hazards Meeting, China Lake, Cal. April 19–21 (1982b).
Dienes, J.K. Statistical Crack Mechanics, in J.-P. Boehler, Ed., Failure Criteria of Structured Media, Proc. Colloque International du CNRS no. 351, Villard-de-Lans, France (1983a).
Dienes, J.K. Frictional Hot-Spots and Statistical Crack Mechanics, in Proc, 1983 Annual Meeting of the Materials Research Society, J.H. Crawford, Jr., Y. Chen and W.A. Sibley, eds. Boston, MA. (1983b).
Dienes, J.K. A Statistical Theory of Fragmentation Processes, Mechanics of Materials, 4, 325–335 (1987a).
Dienes, J.K. Theory of Deformation, Part I, Kinematics, Los Alamos National Laboratory Report, LA-11063-MS, Vol. I (1987b).
Dienes, J.K. Theory of Deformation, Part II, Physical Theory, Los Alamos Report, LA-11063-MS, Vol. II (1989).
Dienes, J.K. Theory of Deformation, Part III, The SCRAM code, in Preparation.
Drucker, D.C. and Prager W. Soil Mechanics and Plastic Analysis or Limit Design, Quart. Appl. Math 10 (1952).
Elban, W.L., Sandusky, H.W., Beard, B.C., and Glancy, B.C. Investigation of the Origin of Hot Spots in Deformed Crystals: Final Report on Ammonium Perchlorate Studies, Naval Surface Warfare Center Report NSWCDD/TR-92/206 (1993).
Eringen, A.C. Mechanics of Continua. John Wiley & Sons, New York.
Frank-Kamenetskii, A.A. On the Mathematical Theory of Thermal Explosions, Acta Physicochimica URSS, Vol. XVI, No. 5–6, pp. 357–361 (1942).
Frey, R.B. The Initiation of Explosive Charges by Rapid Shear, Proceedings of the Seventh Symposium on Detonation, Annapolis, MD (1981).
Gibbs, T.R. and Popolato, A. LASL Explosive Property Data, University of California Press (1981).
Green, L.G., James, E., Lee, E.L., Chambers, E.S., Tarver, CM., Westmorland, C, Weston, A.M., and Brown, B. Delayed Detonation in Propellants from Low Velocity Impact, in Proc. 7th Symposium on Detonation, J.M. Short, Ed., Annapolis, Md. (1981).
Horii, H. and Nemat-Nasser, S. Brittle failure in compression: splitting, faulting and brittle-dactile transition, Phil. Trans. Royal. Society London, 319, pp. 337–374 (1986).
Howe, P. Private Communication (1993).
Howe, P.M., Gibbons, G. Jr., and Webber P.E. An Experimental Investigation of the Role of Shear in Initiation of Detonation by Impact, Proc. Eighth Symposium (International) on Detonation, Albuquerque, NM (1985).
Jeans, J.H. An Introduction to the Kinetic Theory of Gases, Cambridge (1940).
Jensen, R. C, Blommer, E.J., and Brown, B. An Instrumented Shotgun Facility to Study Impact Initiated Explosive Reactions, in Proc. 7th Symposium on Detonation, J.M. Short, Ed., Annapolis, Md. (1981).
Johnson, J.N. Micromechanical Considerations in Shock Compression of Solids, in High Pressure Shock Wave Compression of Solids, J.P. Asay and M. Shahinpoor, Eds., Springer-Verlag, New York (1992).
Kalthoff, J.F. and Winkler, S. Failure Mode Transition at High Rates of Shear Loading in Impact Loading and Dynamic Behavior of Materials, Vol. I, C.Y. Chiem, H.D. Kunze and L.W. Meyer, Eds., Informationsgesselschaft, Verlag (1987).
Nemat-Nasser, S. On Finite Deformation Elasto-Plasticity, Int. J. Solids Structures, 18, 857–872 (1982).
Nemat-Nasser, S., and Horii, H. Compression-induced Nonplanar Crack Extension with Application to Splitting, Exfoliation and Rockburst, J. Geophys. Res., 87, 6805–6821 (1982).
Nemat-Nasser, S., and Obata, M. A Microcrack Model of Dilatancy in Brittle Materials, JAM, 110 (1988).
Petch, N.J. The Fracture of Metals, in Progress in Metal Physics, B. Chalmers and R. King, Eds., Interscience Publishers (1954).
Prager, W. The Theory of Plasticity: A Survey of Recent Achievements, Proc. Inst. Mech. Engn. 169, 41–57 (1955).
Reuss, A. Berucksichtigung der elastischen Formanderung in der plastizitats Theorie, Zeits. ang. Math. Mech., 10, 266–269 (1930).
Sandler, I. and Baron, M. Numerical Models for Dynamic Loading, in Mechanics of Geomaterials, Edited by Z. Bazant, John Wiley & Sons, Ltd. (1985).
Seaman, L., Curran, D.R., and Murri, W.J. A Continuum Model for Dynamic Tensile Microfracture and Fragmentation, JAM 52, 593 (1985).
Spitzig, W.A. and Richmond, O. The Effect of Pressure on the Flow Stress of Metals, Acta Metall, 32, 457–463 (1984).
Taylor, L.M. and Flanagan, D.P. PRONTO 2D A Two-Dimensional Transient Solid Dynamics Program, Sandia Report SAND86–0594, (March 1987).
Truesdell, C. and Toupin, R.A. The Classical Field Theories, in Handbuch der Physik, Vol. III. (1960).
Zheng, Q.S. On the generalization of constitutive laws from their arotational forms, Acta Mechanica 91, 97–105 (1992).
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 Springer-Verlag New York, Inc.
About this chapter
Cite this chapter
Dienes, J.K. (1996). A Unified Theory of Flow, Hot Spots, and Fragmentation with an Application to Explosive Sensitivity. In: Davison, L., Grady, D.E., Shahinpoor, M. (eds) High-Pressure Shock Compression of Solids II. High-Pressure Shock Compression of Condensed Matter. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2320-7_14
Download citation
DOI: https://doi.org/10.1007/978-1-4612-2320-7_14
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7501-5
Online ISBN: 978-1-4612-2320-7
eBook Packages: Springer Book Archive