The Convergence of a DFT-Algorithm for Solution of Stress-Strain Problems in Composite Mechanics

[+] Author and Article Information
C. M. Brown

Department of Mechanical and Chemical Engineering, Heriot-Watt University, Riccarton, Edinburgh EH14 4AS, UK

W. Dreyer

Weierstraß Institut für Angewandte Analysis und Stochastik, Mohrenstraße 39, 10117 Berlin, Germany

W. H. Müller

Technische Universität Berlin, Fakultät V, Institut für Mechanik, Einsteinufer 5, 10587 Berlin, Germany

J. Eng. Mater. Technol 125(1), 27-37 (Dec 31, 2002) (11 pages) doi:10.1115/1.1526859 History: Received November 05, 2001; Revised March 07, 2002; Online December 31, 2002
Copyright © 2003 by ASME
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Grahic Jump Location
The choice C͇aux=0.5(C͇++C͇):q1(N) for ν+=0.3
Grahic Jump Location
The choice C͇aux=C͇+:q1(N) for vf=0.2 and different Poisson’s ratios
Grahic Jump Location
The choice C͇aux=C͇+:q1 as a function of Poisson’s ratio for various volume fractions
Grahic Jump Location
Relative error, q1m/(1−q1), as a function of number of iterations, m, for various choices of Poisson’s ratios and vf=0.2
Grahic Jump Location
The choice C͇aux=C͇+:q1(m) in the case of a void for various volume fractions and different choices of Poisson’s ratio
Grahic Jump Location
RVE showing heterogeneities of different elastic stiffness than the surrounding matrix and external strains
Grahic Jump Location
Discretization of the RVE
Grahic Jump Location
ε11 for (first row) E+/E=10,ν+=0.3,vf=0.2; (second row): E+/E=0.1,ν+=0.3,vf=0.2.
Grahic Jump Location
Some 2D kijkl’s for N=64,νaux=0.3
Grahic Jump Location
Diagonal element k1111 at higher discretizations N=128 and N=256 for νaux=0.3
Grahic Jump Location
The choice C͇aux=C͇+:q1(N) for three different volume fractions, vf=0.2, 0.4, 0.6 and ν+=0.3.
Grahic Jump Location
The choice C͇aux=C͇:q1(N) for vf=0.6 and ν+=0.3



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