A material model for the finite element analysis of metal matrix composites

Abstract A finite element based procedure is presented which accounts for micromechanical nonlinear behavior of the matrix material in continuous fiber reinforced composites. The micromechanical model is a periodic hexagonal array of elastic fibers embedded in an elastic-plastic matrix material. This model is used to calculate the overall instantaneous material matrix at material points of a macromechanical finite element model of the structure being analyzed. The procedure is applied to a number of metal matrix composite systems subjected to thermomechanical loads.

[1]  G. Dvorak,et al.  Thermoplasticity of Unidirectional Metal Matrix Composites , 1984 .

[2]  G. Dvorak,et al.  Plasticity Analysis of Laminated Composite Plates , 1982 .

[3]  Rodney Hill,et al.  Continuum micro-mechanics of elastoplastic polycrystals , 1965 .

[4]  George J. Dvorak,et al.  Elastic-plastic behavior of fibrous composites , 1979 .

[5]  B. Budiansky.  On the elastic moduli of some heterogeneous materials , 1965 .

[6]  George J. Dvorak,et al.  Bounds on overall instantaneous properties of elastic-plastic composites , 1988 .

[7]  G. Dvorak,et al.  Plasticity Analysis of Fibrous Composites , 1982 .

[8]  G. Dvorak,et al.  Axisymmetric plasticity theory of fibrous composites , 1976 .

[9]  George J. Dvorak,et al.  Thermal Stresses in Heat-Treated Fibrous Composites , 1976 .

[10]  G. Dvorak.  Thermal Expansion of Elastic-Plastic Composite Materials. , 1986 .

[11]  Rodney Hill,et al.  Theory of mechanical properties of fibre-strengthened materials: I. Elastic behaviour , 1964 .

[12]  S. Utku,et al.  Finite element analysis of elastic-plastic fibrous composite structures , 1981 .

[13]  John W. Hutchinson,et al.  Elastic-plastic behaviour of polycrystalline metals and composites , 1970, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[14]  Z. Hashin,et al.  The Elastic Moduli of Fiber-Reinforced Materials , 1964 .

[15]  J. D. Eshelby.  The determination of the elastic field of an ellipsoidal inclusion, and related problems , 1957, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.