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TECHNICAL PAPERS

A Constitutive Model for Distributed Microcracking In Titanium Matrix Composite Laminae

[+] Author and Article Information
D. L. Ball

Lockheed Martin, Tactical Aircraft Systems, Fort Worth, TX 76112

W. S. Chan

Department of Mechanical and Aerospace Engineering, University of Texas at Arlington, Arlington, TX 76019-0023e-mail: chan@mae.uta.edu

J. Eng. Mater. Technol 122(4), 469-473 (May 12, 2000) (5 pages) doi:10.1115/1.1289286 History: Received December 09, 1999; Revised May 12, 2000
Copyright © 2000 by ASME
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References

Johnson, W. S., 1992, “Damage Development in Titanium Metal Matrix Composites Subjected to Cyclic Loading,” NASA TM-107597, Apr.
Majumdar, B. S., and Newaz, G. M., 1992, “Inelastic Deformation of Metal Matrix Composites, Part I-Plasticity and Damage Mechanisms,” NASA CR-189095, Mar.
Allen,  D. H., Harris,  C. E., and Groves,  S. E., 1987, “A Thermomechanical Constitutive Theory for Elastic Composites With Distributed Damage-I. Theoretical Development,” Int. J. Solids Struct., 23, No. 9, pp. 1301–1318.
Allen,  D. H., Harris,  C. E., and Groves,  S. E., 1987, “A Thermomechanical Constitutive Theory for Elastic Composites With Distributed Damage-II. Application to Matrix Cracking in Laminated Composites,” Int. J. Solids Struct., 23, No. 9, pp. 1319–1338.
Kachanov,  M., 1992, “Effective Elastic Properties of Cracked Solids: Critical Review of Some Basic Concepts,” Appl. Mech. Rev., 45, No. 8, Aug. pp. 304–335.
Laws,  N., Dvorak,  G. J., and Hejazi,  M., 1993, “Stiffness Changes in Unidirectional Composites Causes by Crack Systems,” Mech. Mater., 2, pp. 123–137.
Talreja,  R., 1985, “Transverse Cracking and Stiffness Reduction in Composite Laminates,” J. Compos. Mater., 19, pp. 355–375.
Barrett, D. J., and Buesking, K. W., 1986, “Temperature Dependent Nonlinear Metal Matrix Laminate Behavior,” NASA CR-4016.
Sih, G. C., 1973, Handbook of Stress Intensity Factors, Lehigh University, Bethlehem, PA.
Tada, H., Paris, P. C., and Irwin, G. R., 1985, The Stress Analysis of Cracks Handbook, 2nd ed., Paris Productions, St. Louis, MO.
Ball, D. L., 1995, “An Experimental and Analytical Investigation of Titanium Matrix Composite Thermomechanical Fatigue,” Thermo-Mechanical Fatigue Behavior of Materials: 2nd Volume, ASTM STP1263, Verrilli, M. J., and Castelli, M. G., eds., American Society for Testing and Materials, Philadelphia, pp. 299–330.
Ball, D. L., 1998, “Titanium Matrix Composite Thermomechanical Fatigue Analysis Method Development,” Ph.D. dissertation, University of Texas at Arlington, Dec.
Paris,  P. C., and Erdogan,  F., 1963, ASME J. Basic Eng., 85, No. 4, p. 528.

Figures

Grahic Jump Location
Schematic of lamina microcracks
Grahic Jump Location
Variation of lamina longitudinal modulus as a function of one-direction crack number density and size.
Grahic Jump Location
Variation of lamina transverse modulus as a function of two-direction crack number density and size
Grahic Jump Location
[0°]4 Laminate stress-strain response during R=0.1 Nx loading at 900°F
Grahic Jump Location
Measured and predicted variation of [0°]4 laminate longitudinal modulus (secant), EL, during isothermal low cycle

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