Acknowledgements-This work was supported by AFOSR, Bolling AFB, Washington, DC via Grant no. F49620-95-1-0164. The encouragement ofthe AFOSR grant monitor, Dr. Walter Jones, is deeply appreciated. The authors would also like to thank Lawrence Livermore National Laboratory, CA for the use ofthe NIKE-2D finite element software in agreement with license to University of South Florida, Tampa and for the technical help given by Dr. Bruce Engelman and Dr. Ed Zywicz. The authors would like to thank Prof. Paul Steif and Dr. Gautam Meda of Camegie Mellon Vniversity, PA for extensive discussions and for providing comparative numerical results. A version of this paper is printed in the Proceedings of Symposium on Micromechanics and Constitutive Modelling ofComposites Materials, ASME Summer Annual Meeting, June 28-30,1995, VCLA;