A numerical method is described for determination of generalized initial yield surfaces of unidirectional metal matrix composites under arbitrary external loads and uniform temperature changes. The method leads to the representation of the surface in a three-dimensional system of generalized stress coordinates which, respectively, coincide with the direction of the normal composite stress in the fiber direction, and with the two principal directions of the composite stresses acting in the transverse plane. The initial yield surface of the composite is an irregular ellipsoid with its longest axis inclined toward the hydrostatic stress axis. A thermomechanical analogy is used to show that as a result of a uniform temperature change, the yield surface experiences a rigid-body translation in the direction of the hydrostatic axis in the stress space. The initial yield behavior of a B-Al composite is described in detail. It is shown that microplastic yielding can take place in the composite under relatively small magnitudes of external loads, and hydrostatic stress, or as a result of moderate temperature changes.
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March 1974
Research Papers
Generalized Initial Yield Surfaces for Unidirectional Composites
G. J. Dvorak,
G. J. Dvorak
Department of Civil Engineering, Duke University, Durham, N. C.
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M. S. M. Rao,
M. S. M. Rao
Department of Civil Engineering, Duke University, Durham, N. C.
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J. Q. Tarn
J. Q. Tarn
Department of Civil Engineering, Duke University, Durham, N. C.
Search for other works by this author on:
G. J. Dvorak
Department of Civil Engineering, Duke University, Durham, N. C.
M. S. M. Rao
Department of Civil Engineering, Duke University, Durham, N. C.
J. Q. Tarn
Department of Civil Engineering, Duke University, Durham, N. C.
J. Appl. Mech. Mar 1974, 41(1): 249-253 (5 pages)
Published Online: March 1, 1974
Article history
Received:
February 1, 1973
Revised:
April 1, 1973
Online:
July 12, 2010
Citation
Dvorak, G. J., Rao, M. S. M., and Tarn, J. Q. (March 1, 1974). "Generalized Initial Yield Surfaces for Unidirectional Composites." ASME. J. Appl. Mech. March 1974; 41(1): 249–253. https://doi.org/10.1115/1.3423235
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