Engineering Transactions, 45, 1, pp. 47–70, 1997

Discussion of Fracture Criteria in Spall Mechanics

P. Chevrier
Universite de Metz

J.R. Klepaczko
Universite de Metz

An analysis of variety of spall criteria is discussed in this paper. Some mechanisms of the free surface creation in spall are discussed, including cleavage and fibrous separation. Existence of those micromechanisms of fracturing is illustrated by several fractograms for aluminum alloy, iron and steel. Finally, three groups of fracture criteria used in prediction of spalling are reviewed. It is concluded that all modern spall criteria must have an evolutionary character, that is they must take into account the time evolution of damage. A relatively new simple criterion based on the Boltzmann statistics is verified for 7020-T6 aluminum alloy. This simple criterion appeared to be quite efficient in finite elements computer codes.
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J.R. KLEPACZKO, Dynamic crack initiation. Some experimental methods and modelling, [in:] Crack Dynamics in Metallic Materials, J.R. KLEPACZKO [Ed.], Springer Verlag, Vienna-New-York 428, 1990.

A.A. GRIFFITH, The phenomenon of rupture and flow in solids, Phil. Trans. Roy. Soc., London, A 221, 163, 1921.

J.J. GILMAN, Monocrystals in mechanical technology, Trans. Quart. ASM, 59, 596, 1966.

W. ARNOLD, Dynarnisches Werkstoffverhalten von Armco-Eisen bei Stosswellenbelastung, Fortschritt-Berichte VDT, Reihe, 5, 247, 1992.

P. CHEVRIER, Etude de l'endornmagernent dynamique d’alliages d’aluminium soumis à une onde plane induite par un impact plaque sur plaque –Technique expérirnentale, DEA Report, 1994.

A.L. GURSON, Continuum theory of ductile rupture by void nucleation and growth, Part I. Yield criteria and flow rules for porous ductile media, J. Engng. Mater. Tech., 99, 2, 1977

J. EFTIS and J.A. NEMES, Constitutive modelling of spall fracture, Arch. Mech., 43, 399, 1991.

A. PINEAU, Effect of inhomogeneities in the modelling of mechanical behaviour and damage of metallic materials, [in:] Mechanical Behaviour of Materials, ESIS, Delft University Press, Delft 1995.

D.R. CURRAN, Microstatistical fracture mechanics in dynamic fracture, [in:] Crack Dynamics in Metallic Materials, p. 455, J.R. KLEPACZKO [Ed.], Springer Verlag, 1990.

D.A. SHOCKEY, L. SEAMAN and D.R. CURRAN, Linking dynamic fracture to microstructural processes, [in:] Shock Waves and High Strain Rate Phenomena in Metals, p. 129, M.M. MEYERS and L.E. MURR [Eds.], Plenum Press, N.Y. 1981.

R.F. ROLSTEN, A study of the shock loading of materials, Trans. N.Y. Acad. Sci., 36, 416, 1974.

M. LACOMME, B. CAZALIS, J. DAVID, G. NIERAT, A. SALÈRES and G. SIBILLE, Endommagement et écaillage par laser, J. Physique, 4, 77, 1994.

V.E. FORTOV, V.V. KOSTIN and S. ELIEZER, Spallation of metals under laser irradiation, J. Appl. Phys., 70, 4524, 1991.

F.R. TULER and B.M. BUTCHER, A criterion for the time dependence of dynamic fracture, Int. J. Fract. Mech., 4, 431, 1968.

M.J. WORSWICK, H. NAHME and J. FOWLER, Spall through void nucleation, growth and coalescence, J. Physique, 4, C8-623, 1994.

B. YILONG, K. FUJIU and L. LIMIN, Statistical modelling of damage evolution in spallation, J. Physique, 49, C3, 215, 1988.

C. DUMONT and C. LEVAILLANT, Croissance de cavités dans des matériaux à matrice ductile, DYMAT 6ième Journee Nationale, 2, 1, 1990.

D.A. SHOCKEY, Understanding dynamic fracture phenomenology with fractography, [in:] Metallurgical and Materials Applications of Shock-Wave and High-Strain-Rate Phenomena, 151, 1995.

S. LETIAN, B. YILONG and Z. SHIDA, Experimental study of spall damage in an aluminum alloy, Proc. Intern. Symposium on Intense Dynamic Loading and its Effects, China, 753, 1986.

A.N. DREMIN and A.M. MOLODETS, On the spall strength of metals, Proc. Intern. Symposium on Intense Dynamic Loading and its Effects, Science Press, Beijing, China, 13, 1986.

L. DAVIDSON and M.E. KIPP, Calculation of spall damage accumulation in ductile metals, [in:] High Velocity Deformation of Solids, p. 163, K. KAWATA and J. SHIORI [Eds.], Springer, New York 1978.

J.D. CAMPBELL, Dynamic plasticity, Springer Verlag, 1966.

P. PERZYNA, Internal state variable description of dynamic fracture of ductile solids, Int. J. Solids Structures, 22, 797, 1986.

S.N. ZHURKOV, Kinetic concept of the strength of solids, Int. J. Fract. Mech., 1, 311, 1965.

H. KLÖCKER and F. MONTHEILLET, Modeling the ductile growth of voids at high strain rates, J. Physique, 49, C3-9, 313, 1988.

I.M. FYFE, Application of Gurson void growth model to dynamic fracture, [in:] Materials Behaviour Under High Stress and Ultra High Loading Rates, p. 309, J. MESCALL and V. WEISS [Eds.], Plenum, New York 1982.

V. TVERGAARD, Micromechanics of damage in metals, [in:] Mechanical Behaviour of Materials, ESIS, Delft University Press, Delft 1955.

A.L. GURSON, Plastic flow and fracture of ductile materials incorporating void nucleation, growth and interaction, Ph. D. Thesis, Brown University, 1975.

G.O. ZHOU and J.Y. CHENG, Dynamic-active constitutive relations with damage [Private communication].

H. NAHME and M.J. WORSWICK, Dynamic properties and spall plane formation of brass, J. Physique, 4, C8-707, 1994.

C.S. SPEIGHT and P.F. TAYLOR, Dynamic fracture criteria from free surface velocity measurements, [in:] Metallurgical Applications of Shock-Wave and High-Strain-Rate Phenomena, p. 805, MURR, STAUDHAMMER, MEYERS [Eds.], Marcel Dekker Inc., 1986.

S. COCHRAN and D. BANNER, Span studies in uranium, J. Appl. Phys., 48, 2729, 1977.

J. CAGNOUX, Déformation et ruine d’un verre pyrex soumis à un choc intense: Etude expérimentale et modélisation du comportement, Ph. D. Thesis, Poitiers University, 1985.

J. BUCHAR and J. KREJCI, Spall behaviour of the low alloyed high strength steel, J. Physique, 4, C8, 713, 1994.

D.E. GRADY, The spall strength of condensed matter, J. Mech. Phys. Solids, 36, 353, 1988.

Y.V. PETROV and N.F. MOROZOV, On the modeling of fracture of brittle solids, J. Appl. Mech., 61, 710, 1994.

L.M. BARKER and R.E. HOLLENBACH, Laser interferometer for measuring high velocities of any reflecting surface, J. Appl. Phys., 43, 4669, 1972.

L. DAVISON and A.L. STEVENS, Continuum measures of spall damage, J. Appl. Phys., 43, 988, 1972.

J.S. RINEHART, Scabbing of metals under explosive attack: multiple scabbing, J. Appl. Phys., 23, 1229, 1952.

J.N. JOHNSON and W.H. COOK, Engng. Fract. Mech., 21, 31, 1985.

M.M. CARROLL and A.C. HOLT, Static and dynamic pore-collapse relations for ductile porous materials, J. Appl. Phys., 43, 1626, 1972.

J.N. JOHNSON, Dynamic fracture and spallation in ductile solids, J. Appl. Phys., 52, 2812, 1981.

DOI: 10.24423/engtrans.681.1997