A discrete dislocation analysis of residual stresses in a composite material

Abstract Residual stresses and strains in a two-dimensional model composite consisting of elastic reinforcements in a crystalline matrix are analysed. The composite is subject to macroscopic shear and then unloaded. Plane-strain conditions and single slip on slip planes parallel to the shear direction are assumed. The dislocations are modelled as line defects in a linear elastic medium. At each stage of loading, superposition is used to represent the solution in terms of the infinite medium solution for the discrete dislocations and an image solution that enforces the boundary conditions, which is non-singular and obtained from a linear elastic finite-element solution. The lattice resistance to dislocation motion, dislocation nucleation and dislocation annihilation are incorporated into the formulation through a set of constitutive rules. Obstacles leading to possible dislocation pile-ups are also accounted for. Considerable reverse plasticity is found when the reinforcement arrangement is such that all s...

[1]  R. LeSar,et al.  Dynamic simulation of dislocation microstructures in Mode III cracking , 1997 .

[2]  van der Erik Giessen,et al.  COMPARISON OF DISCRETE DISLOCATION AND CONTINUUM PLASTICITY PREDICTIONS FOR A COMPOSITE MATERIAL , 1997 .

[3]  Marc Fivel,et al.  Implementing image stresses in a 3D dislocation simulation , 1996 .

[4]  David R. Clarke,et al.  The influence of particle size and particle fracture on the elastic/plastic deformation of metal matrix composites , 1996 .

[5]  A. Krawitz,et al.  Thermal residual stress distribution in WC-Ni composites , 1996 .

[6]  E. G. Wolff,et al.  An introduction to metal matrix composites , 1995 .

[7]  van der Erik Giessen,et al.  Discrete dislocation plasticity: a simple planar model , 1995 .

[8]  Michael Ortiz,et al.  Computational modelling of single crystals , 1993 .

[9]  A. Needleman,et al.  An analysis of equilibrium dislocation distributions , 1993 .

[10]  S. Nutt,et al.  Thermally and mechanically induced residual strains in Al-SiC composites , 1992 .

[11]  P. Withers,et al.  The analysis of internal strains measured by neutron diffraction in Al/SiC metal matrix composites , 1992 .

[12]  Ladislas P. Kubin,et al.  Dislocation Microstructures and Plastic Flow: A 3D Simulation , 1992 .

[13]  A. Levy,et al.  Elastoplastic finite element analysis of short-fiber-reinforced SiC/Al composites: effects of thermal treatment , 1991 .

[14]  J. Bassani,et al.  Elastic-plastic behavior of particle reinforced composites influence of residual stresses , 1991 .

[15]  Robert M. McMeeking,et al.  The influence of residual stress on the yielding of metal matrix composites , 1991 .

[16]  V. Tvergaard.  Effect of thermally induced residual stresses on the failure of a whisker-reinforced metal , 1991 .

[17]  Philip J. Withers,et al.  The application of the eshelby method of internal stress determination to short fibre metal matrix composites , 1989 .

[18]  W. Stobbs,et al.  Modulus and yield stress anisotropy of short fibre metal-matrix composites , 1989 .

[19]  D. G. Reichel,et al.  Residual stress distribution in cermets , 1988 .

[20]  J. Cohen,et al.  Residual Stress: Measurement by Diffraction and Interpretation , 1987 .

[21]  M. Taya,et al.  Thermal residual stress in metal matrix composite , 1987 .

[22]  Alan Needleman,et al.  Material rate dependence and localized deformation in crystalline solids , 1983 .

[23]  H. Marcus,et al.  Residual stress measurements on Al-graphite composites using X-ray diffraction , 1981 .

[24]  M. Ashby.  The deformation of plastically non-homogeneous materials , 1970 .

[25]  A. R. Stokes,et al.  The diffraction of X rays by distorted crystal aggregates - I , 1944 .

[26]  B. Warren,et al.  X-Ray Diffraction , 2014 .

[27]  L. Keer,et al.  Simulation of microscopic elastic-plastic contacts by using discrete dislocations , 1996, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[28]  P. Withers,et al.  An introduction to metal matrix composites , 1993 .

[29]  John L. Bassani,et al.  Plastic flow of crystals , 1993 .

[30]  D. Parks,et al.  Thermo-viscoplastic residual stresses in metal matrix composites , 1988 .

[31]  R. Asaro,et al.  Micromechanics of Crystals and Polycrystals , 1983 .

[32]  J. Hirth.  Theory of Dislocations , 1968 .

[33]  Frank Reginald Nunes Nabarro,et al.  Theory of crystal dislocations , 1967 .