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TECHNICAL PAPERS

The Effect of Graded Strength on Damage Propagation in Continuously Nonhomogeneous Materials

[+] Author and Article Information
Priya Thamburaj, Michael H. Santare

Department of Mechanical Engineering, And Center for Composite Materials, University of Delaware, Newark, DE 19716

George A. Gazonas

Weapons and Materials Research Directorate, U.S. Army Research Laboratory, Aberdeen Proving Ground, Aberdeen, MD 21005

J. Eng. Mater. Technol 125(4), 412-417 (Sep 22, 2003) (6 pages) doi:10.1115/1.1605116 History: Received January 10, 2003; Revised March 03, 2003; Online September 22, 2003
Copyright © 2003 by ASME
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References

Santare,  M. H., and Lambros,  J., 2000, “Use of a Graded Finite Element to Model the Behavior of Nonhomogeneous Materials,” ASME J. Appl. Mech., 67(4), pp. 819–822.
Kim,  J. H., and Paulino,  G. H., 2002, “Isoparametric Graded Finite Elements for Nonhomogeneous Isotropic and Orthotropic Materials,” ASME J. Appl. Mech., 69(2), pp. 502–514.
Santare, M. H., Thamburaj, P., and Gazonas, G. A., 2002, “The Use of Graded Finite Elements in the Study of Elastic Wave Propagation in Continuously Nonhomogeneous Materials,” Int. J. Solids Struct., accepted for publication.
Boyd,  J. G., Costanzo,  F., and Allen,  D. H., 1993, “A Micromechanics Approach for Constructing Locally Averaged Damage Dependent Constitutive Equations in Inelastic Composites,” Int. J. Damage Mech., 2, pp. 209–228.
Budiansky,  B., and O’Connell,  R. J., 1976, “Elastic Moduli of a Cracked Solid,” Int. J. Solids Struct., 12, pp. 81–97.
Aboudi,  J., and Benveniste,  Y., 1987, “The Effective Moduli of Cracked Bodies in Plane Deformations,” Eng. Fract. Mech., 26(2), pp. 171–184.
Santare,  M. H., Crocombe,  A. D., and Anlas,  G., 1995, “Anisotropic Effective Moduli of Materials With Microcracks,” Eng. Fract. Mech., 52(5), pp. 833–842.
Fahrenthold,  E. P., 1991, “A Continuum Damage Model for Fracture of Brittle Solids Under Dynamic Loading,” ASME J. Appl. Mech., 58, pp. 904–909.
Johnson, G. R., and Holmquist, T. J., 1992, “A Computational Model for Brittle Materials Subjected to Large Strains, High Strain Rates and High Pressures,” Shock Wave and High-Strain-Rate Phenomena in Materials, M. A. Meyers, L. E. Murr, and K. P. Staudhammer, eds., Marcel Dekker, New York.
Johnson, G. R., and Holmquist, T. J., 1994, “An Improved Computational Model for Brittle Materials,” High Pressure Science and Technology, S. C. Schmidt, J. W. Shaner, G. A. Samara, and M. Ross, eds., American Institute of Physics Press, New York, pp. 981–984.
Gazonas, G. A., 2002, “Implementation of the Johnson-Holmquist II (JH2) Constitutive Model Into DYNA3D,” ARL-TR-2699, Army Research Laboratory, Aberdeen, MD.

Figures

Grahic Jump Location
A brief description of the JH2 model showing the intact curve, the propagation of damage and the fully damaged curve at (a) A=0.9 and (b) A=0.6
Grahic Jump Location
The variation of damage versus time and x for a domain with a step input at x=0 and fixed at x=L. The parameter A=1.0 in Eq. (2) in this case.
Grahic Jump Location
The variation of damage versus time and x for a domain with a step input at x=0 and fixed at x=L. The parameter A=0.1 in Eq. (2) in this case.
Grahic Jump Location
The variation of damage versus time and x for a domain with a step input at x=0 and fixed at x=L. The parameter A decreases from 1.0 to 0.1 along x in this case.
Grahic Jump Location
The variation of damage versus time and x for a domain with a step input at x=0 and fixed at x=L. The parameter A increases from 0.1 to 1.0 along x in this case.
Grahic Jump Location
The variation of damage versus time and x for a domain with a pressure pulse input at x=0 and free at x=L. The parameter A=1.0 in Eq. (2) in this case.
Grahic Jump Location
The variation of damage versus time and x for a domain with a pressure pulse input at x=0 and free at x=L. The parameter A=0.1 in Eq. (2) in this case.
Grahic Jump Location
The variation of damage versus time and x for a domain with a pressure pulse input at x=0 and free at x=L. The parameter A decreases from 1.0 to 0.1 along x.
Grahic Jump Location
The variation of damage versus time and x for a domain with a pressure pulse input at x=0 and free at x=L. The parameter A increases from 0.1 to 1.0 along x.

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