Rate-Sensitive Micromechanical Damage Model for Brittle Solid
Publication: Journal of Engineering Mechanics
Volume 122, Issue 5
Abstract
A micromechanical damage model for a brittle solid capable of taking into account the effect of high loading rate (in the form of stress-rate) is presented. Although, this model is applicable to any particulate brittle solid, concrete is given primary consideration. An existing self-consistent rate-insensitive model is modified and extended to induce rate dependency of concrete type material with preexisting damages (cracks). The variations of several fracture mechanics parameters of solid, viz., stress intensity factors, fracture toughnesses, etc., under the influence of high loading rates were given primary consideration. The process of crack evolution in a particulate cracked solid under tensile and compressive stress-field has been thoroughly considered along with all possible situations that may arise. Crack kinking and nucleation are considered for both tensile and compressive stress-field. The resulting rate-sensitive micromechanical damage model has been codified and several experiments have been replicated to validate it.
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References
1.
Barsom, J. M., and Rolfe, S. T. (1987). Fracture and fatigue control in structures, applications of fracture mechanics, Prentice-Hall, Englewood Cliffs, N.J.
2.
Bažant, Z. P.(1986). “Mechanics of distributed cracking.”Appl. Mech. Rev., 39(5), 675–705.
3.
Chandra, D. (1993). “A fracture mechanics based constitutive model for concrete under high loading rates,” PhD dissertation, Pennsylvania State Univ., University Park, Pa.
4.
Fanella, D., and Krajcinovic, D.(1988). “A micromechanical model for concrete in compression.”Engrg. Fracture Mech., 29(1), 49–66.
5.
Hoenig, A.(1978). “The behavior of a flat elliptical crack in an anisotropic elastic body.”Int. J. Solids and Struct., 14, 925–934.
6.
Hoenig, A.(1979). “Elastic moduli of a non-randomly cracked body.”Int. J. Solids and Struct., 15, 137–154.
7.
Hoenig, A.(1982). “Near-tip behavior of a crack in a plane anisotropic elastic body.”Engrg. Fracture Mech., 16(3), 393–403.
8.
Horii, H., and Nemat-Nasser, S. (1986). “Brittle failure in compression: splitting, faulting and brittle-ductile transition.”Philosophical Trans., Royal Society of London, U.K. A319, 337–374.
9.
Horii, H., and Nemat-Nasser, S.(1985). “Compression-induced microcrack growth in brittle solids: axial splitting and shear failure.”J. Geophysical Res., 90(4), 3105–3125.
10.
Horii, H., and Nemat-Nasser, S.(1983). “Overall moduli of solids with microcracks: load-induced anisotropy.”J. Mech. and Physics of Solids, 31(2), 155–171.
11.
John, R., Shah, S. P., and Jenq, Y. S.(1987). “A fracture mechanics model to predict the rate sensitivity of mode I fracture of concrete.”Cement and Concrete Res., 17, 249–262.
12.
Ju, J. W., and Lee, X.(1991). “Micromechanical damage models for brittle solids I: tensile loadings.”J. Engrg. Mech., ASCE, 117(7), 1495–1514.
13.
Kachanov, L. M. (1986). Introduction to continuum damage mechanics. Maritinus Nijhoff Publishers, Boston, Mass.
14.
Kachanov, L. M.(1987). “Elastic solids with many cracks: a simple method of analysis.”Int. J. Solids and Struct., 23(1), 23–43.
15.
Krajcinovic, D. (1984). “Continuum damage mechanics.”Appl. Mech. Rev., 37(1–6), 397–402.
16.
Krajcinovic, D. (1986). “Update to continuum damage mechanics.”Applied mechanics update, C. R. Steele and G. S. Springer, eds., ASME, New York, N.Y., 403–406.
17.
Krajcinovic, D., and Fanella, D. (1986). “A micromechanical damage model for brittle deformation process: part I.”Engrg. Fracture Mech., 25(5–6), 585–596.
18.
Krajcinovic, D. (1989). “Damage mechanics.”Mech. of Mat., 8(2–3), 117–197.
19.
Lee, X., and Ju, J. W.(1991). “Micromechanical damage models for brittle solids II: compressive loadings.”J. Engrg. Mech., ASCE, 117(7), 1515–1536.
20.
Murakami, S.(1987). “Progress of continuum damage mechanics.”JSME Int. J., 30(263), 701–710.
21.
Nemat-Nasser, S., and Horii, H.(1982). “Compression-induced nonplanar crack extension with application to splitting, exfoliation and rock-burst.”J. Geophysical Res., 87(8), 6805–6821.
22.
Palaniswamy, K., and Knauss, W. G. (1978). “On the problem of crack extension in brittle solids under general loading.”Mech. Today, Oxford, U.K., Vol. 4, S. Nemat-Nasser, ed., 87–145.
23.
Ross, C. A., Kuennen, S. T., and Strickland, W. S. (1989). “High strain rate effects on tensile strength of concrete.”Proc., 4th Int. Symp. on the Interaction of Nonnuclear Munitions with Struct., Panama City Beach, FL, 302–308.
24.
Sih, G. C., ed. (1977). Elastodynamic crack problems, solution to problems in dynamic crack propagation useful in structural design and testing. Noordhoff International Publishing, Leyden, The Netherlands.
25.
Simo, J. C., and Ju, J. W.(1987). “Stress and strain based continuum damage models. part I: formulation.”Int. J. Solids and Struct., 23(7), 821–840.
26.
Tada, H. (1973). The stress analysis of cracks handbook, Del Research, Hellertown, Pa.
27.
Weerheijm, J. (1992). “Concrete under tensile impact and lateral compression,” PhD dissertation, Delft Univ., Delft, The Netherlands.
28.
Zaitsev, Y. B. (1983). “Crack propagation in a composite material.”Fracture mechanics of concrete, F. H. Wittman, ed., Elsevier, Amsterdam, The Netherlands.
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Copyright © 1996 American Society of Civil Engineers.
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Published online: Jan 19, 1996
Published in print: May 1, 1996
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