TECHNICAL NOTES
Jun 1, 1999

Fracture Toughness for Microcracking in a Viscoelastic Particulate Composite

Publication: Journal of Engineering Mechanics
Volume 125, Issue 6

Abstract

Fracture toughness for microcracking in a viscoelastic particulate composite is derived theoretically from the relationship between a continuum damage model and a micromechanical model. The continuum model presented by Park et al. and the micromechanical model presented by Schapery, which account for viscoelasticity and growing damage, are reviewed and compared in this paper. The condition for local microcrack growth is linked to the evolution law for damage growth in the homogenized continuum. Local microcrack growth is governed by an energy-based fracture criterion. Damage growth in the continuum is described by a phenomenological evolution law determined from an experiment. The resulting fracture toughness for asphalt concrete decreases rapidly with loading duration.

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References

1.
Bazant, Z. P., and Gettu, R. ( 1990). “Size effect in concrete structures and influence of loading rate.” Proc., 1st Mat. Engrg. Congr., Serviceability and Durability of Construction Materials, ASCE, Boston, 1113–1123.
2.
Knauss, W. G. ( 1970). “Delayed failure—The Griffith problem for linearly viscoelastic materials.” Int. J. Fracture Mech., 6, 7–20.
3.
Park, S. W. ( 1994). “Development of a nonlinear thermo-viscoelastic constitutive equation for particulate composites with growing damage,” PhD dissertation, Univ. of Texas at Austin, Austin, Tex.
4.
Park, S. W., Kim, Y. R., and Schapery, R. A. ( 1996). “A viscoelastic continuum damage model and its application to uniaxial behavior of asphalt concrete.” Mechanics of Materials, 24(4), 241–255.
5.
Park, S. W., and Schapery, R. A. ( 1997). “A viscoelastic constitutive model for particulate composites with growing damage.” Int. J. Solids and Struct., 34(8), 931–947.
6.
Schapery, R. A. ( 1975). “A theory of crack initiation and growth in viscoelastic media. Part III: Analysis of continuous growth.” Int. J. Fracture, 11, 549–562.
7.
Schapery, R. A. ( 1984). Correspondence principles and a generalized J integral for large deformation and fracture analysis of viscoelastic media.” Int. J. Fracture, 25, 195–223.
8.
Schapery, R. A. ( 1986). “A micromechanical model for nonlinear viscoelastic behavior of particle-reinforced rubber with distributed damage.” Engrg. Fracture Mech., 25, 845–867.

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 125Issue 6June 1999
Pages: 722 - 725

History

Published online: Jun 1, 1999
Published in print: Jun 1999

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Res. Sci., School of Mech. Engrg., Georgia Inst. of Technol., Atlanta, GA 30332.
Assoc. Prof., Dept. of Civ. Engrg., North Carolina State Univ., Raleigh, NC 27695.
Assoc. Prof., Dept. of Civ. Engrg., Kangnung National Univ., Kangwondo, 210-702, KOREA.

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