Structure-property relations in duplex materials

Abstract A two-dimensional micromechanical model to determine the plastic flow properties of two phase alloys with coarse microstructures is presented. In the analysis special attention is devoted to the correct representation of the geometrical features of the real microstructure in the model. The model microstructures are characterized by stereological parameters also applied to real materials. Microstructures are of inclusion-matrix topology at low and high volume fractions of the second phase. At intermediate volume fractions duplex-microstructures are formed. The calculation of the plastic flow properties of a solid consisting of two elastic-perfectly plastic constituents is conveniently done by a unit cell approach with the finite element method. The limit flow stress of the composite is calculated for microstructures covering the whole range of possible volume fractions. The incorporation of the microstructural informations in the analysis of the computed results leads to an improved understanding of the plastic flow properties of the model composite. Results from the present model calculations are compared to results obtained from other micromechanical models.

[1]  J. Gurland,et al.  Hardness and deformation of cemented tungsten carbide , 1978 .

[2]  J. Hutchinson,et al.  The flow stress of dual-phase, non-hardening solids , 1991 .

[3]  S. Ankem,et al.  Finite element method modeling of deformation behavior of two-phase materials part I: stress-strain relations , 1991 .

[4]  C. Hom.  Three-dimensional finite element analysis of plastic deformation in a whisker- reinforced metal matrix composite , 1992 .

[5]  E. Werner,et al.  Phase boundaries as obstacle to dislocations motion , 1985 .

[6]  George J. Weng,et al.  The overall elastoplastic stress-strain relations of dual-phase metals , 1990 .

[7]  H. Margolin,et al.  Finite Element Method (FEM) Calculations of Stress-Strain Behavior of Alpha-Beta Ti-Mn Alloys: Part I. Stress-Strain Relations , 1982 .

[8]  A. K. Vasudevan,et al.  Rolling deformation of two-ductile-phase AgNi alloys , 1978 .

[9]  L. Durand.  Models of tensile behaviour of two-phase alloys from their components , 1987 .

[10]  R. Asaro,et al.  Shear band formation in plane strain compression , 1988 .

[11]  E. Werner,et al.  Der Einfluss der Orientierungsbeziehungen benachbarter Körner auf die Wirksamkeit von Korn- und Phasengrenzen als Versetzungshindernisse , 1990 .

[12]  W. Prantl,et al.  Slip transfer across grain and phase boundaries , 1990 .

[13]  J. Gurland,et al.  A structural approach to the yield strength of two-phase alloys with coarse microstructures , 1979 .

[14]  J. Gurland,et al.  The law of mixtures applied to the plastic deformation of two- phase alloys of coarse microstructures , 1988 .

[15]  M. Poech.  Mechanische Eigenschaften von Martensit-Austenit-Modellegierungen Teil I: Gefügeanordnung und Bruchzähigkeit , 1992 .

[16]  C. Nan.  Physics of inhomogeneous inorganic materials , 1993 .