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TECHNICAL PAPERS

In Situ Matrix Shear Response Using Torsional Test Data of Fiber Reinforced Unidirectional Polymer Composites

[+] Author and Article Information
Chandra S. Yerramalli, Anthony M. Waas

Aerospace Engineering Department, University of Michigan, Ann Arbor, MI 48109

J. Eng. Mater. Technol 124(2), 152-159 (Mar 26, 2002) (8 pages) doi:10.1115/1.1446471 History: Received January 04, 2001; Revised August 28, 2001; Online March 26, 2002
Copyright © 2002 by ASME
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References

Agarwal, B. D., and Broutman, L. J., 1983, Analysis and Performance of Fiber Composites, 2 edition, Wiley, New York.
Kyriakides,  S., Arseculeratne,  R., Perry,  E. J., and Liechti,  K. M., 1995, “On the Compressive Failure of Fiber Reinforced Composites,” Proceedings of the Sixtieth Birthday Celebration of Prof. W. G. Knauss, Int. J. Solids Struct., 32, pp. 689–738.
Piggot, M. R., Sandai, A., Chua, P. S., and Anderson, D., 1986, Mechanical Interactions in the Interphasial Region of Fibre Reinforced Thermosets, Composite Interfaces, North-Holland, Amsterdam.
Pompe,  G., and Mader,  E., 2000, “Experimental Detection of a Transcrystalline Interphase in Glass-Fibre/Polypropelene Composite,” Compos. Sci. Technol. 60, pp. 2159–2167.
Waas,  A. M., 1992, “Effect of Interphase on the Compressive Strength of Unidirectional Composites,” ASME J. Appl. Mech., 59, pp. 183–188.
J. L.,  Williams, Donellan,  M. E., James,  M. R., and Morris,  W. L., 1990, “Elastic Modulus of the Interphase in Organic Matrix Composites,” Mat. Res. Soc. Symp. Proc., Vol. 170, pp. 285–289.
Drzal,  L. T., Rich,  M. J., and Llyod,  P. M., 1982, “Adhesion of Graphite Fibers to Epoxy Matrices: I. The Role of Fiber Surface Treatment,” J. Adhes., 16, pp. 1–30.
Drzal,  L. T., Rich,  M. J., Koenig,  M. F., and Llyod,  P. M., 1982, “Adhesion of Graphite Fibers to Epoxy Matrices: II. The Effect of Fiber Finish,” J. Adhes., 16, pp. 133–152.
Hyer, M. W., and Waas, A. M., 2000, “Micromechanics of Linear Elastic Continuous Fiber Composites.” T. W. Chou, ed., Comprehensive Composite Materials, Vol. 1, Chapter 12. Elsevier Science.
Lee,  S. H., and Waas,  A. M., 1999, “Compressive Response of Fiber Reinforced Unidirectional Composites,” Int. J. Fract., 100, pp. 275–306.
Nadai, A., 1950, Theory of Flow and Fracture of Solids, Vol. 1, Mc-Graw Hill, New York.
Lyon,  R. E., 1991, “Shear Strength of a Ductile Material from Torsion Test of Solid Cylinders,” J. Test. Eval., 19, No. 3, pp. 240–243.
Daniel, I. M., and Isahi, O., 1994, Engineering Mechanics of Composite Materials. Oxford Univ. Press.
Jelf,  P. M., and Fleck,  N. A., 1994, “The Failure of Composite Tubes Due to Combined Compression and Torsion,” J. Mater. Sci., 29, pp. 3080–3084.
Hashin,  Z., 1966, “Viscoelastic Fiber Reinforced Materials,” AIAA J., 4, pp. 1411–1417.

Figures

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Schematic of the 3 cylinder model
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Schematic of torsion test setup
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Torque (inlb) versus rotation (deg) for a carbon/vinylester composite of Vf=60%
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Fiber inclination at various cross sections of a torsion specimen
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Angle of inclination γ as a function of radial distance
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Comparison of shear stress-strain curve of glass/vinylester composite, pure matrix and in-situ matrix for Vf=10%
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Comparison of shear stress-strain curve of carbon/vinylester composite, pure matrix and in-situ matrix for Vf=10%
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Comparison of shear stress-strain curve of glass/vinylester composite, pure matrix and in-situ matrix for Vf=60%
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Comparison of shear stress-strain curve of carbon/vinylester composite, pure matrix and in-situ matrix for Vf=60%
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Variation of shear modulus of in-situ matrix with fiber volume fraction
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Shear modulus of glass/vinylester composite as a function of Vf
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Interphase thickness as a function of Vf for Gi=1800 MPa
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Interphase stress strain curves as a function of Vf
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Interphase stress strain curves as a function of Vf

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