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Journal of Composite Materials
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A Quadratic Yield Function for Fiber-Reinforced Composites

J. K. Chen

Satellite Assessment Division Phillips Laboratory Kirtland AFB, New Mexico 87117

F. A. Allahdadi

Satellite Assessment Division Phillips Laboratory Kirtland AFB, New Mexico 87117

C. T. Sun

School of Aeronautics and Astronautics Purdue University West Lafayette, Indiana 47907

A simple, 3-D yield function that is quadratic in stresses was proposed to describe the plastic behavior of fiber composites. It relaxes the two usually used assumptions that hydrostatic stress does not influence plastic deformation and that the total plastic dilatation is incompressible. It is also general in nature to allow for composites with various fiber volume fractions and different fiber arrays. The applicability of this quadratic yield function to fiber composites was examined, and the accuracy of the elasto-plasticity model was verified by using the macro stress-strain data generated by a 3-D nonlinear micromechanics model. Because this anisotropic plasticity model is simple and is in the general form of those widely used in existing numerical plasticity codes, it can easily be incorporated into the existing codes with little effort.

Journal of Composite Materials, Vol. 31, No. 8, 788-811 (1997)
DOI: 10.1177/002199839703100803
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H. D. Espinosa, H-C. Lu, P. D. Zavattieri, and S. Dwivedi
A 3-D Finite Deformation Anisotropic Visco-Plasticity Model for Fiber Composites
Journal of Composite Materials, March 1, 2001; 35(5): 369 - 410.
[Abstract] [PDF]