A Local Theory of Elastoplastic Deformation of Two-Phase Metal Matrix Random Structure Composites

[+] Author and Article Information
V. A. Buryachenko, F. G. Rammerstorfer, A. F. Plankensteiner

Christian Doppler Laboratory for Micromechanics of Materials, Institute of Light Weight Structures and Aerospace Engineering, TU Vienna, A-1040 Vienna, Austria

J. Appl. Mech 69(4), 489-496 (Jun 20, 2002) (8 pages) doi:10.1115/1.1479697 History: Received December 17, 1996; Revised September 15, 2000; Online June 20, 2002
Copyright © 2002 by ASME
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Grahic Jump Location
Overall plastic strain ε*33p as a function of uniaxial cyclic loading σ330 calculated for different constant hydrostatic contributions σ0fix=−4 GPa (solid curve), 4 GPa (dotted curve); σ33max=2.8 GPa, (○)–onset of yielding
Grahic Jump Location
Overall plastic strain ε*33p as a function of uniaxial loading σ330 calculated by the proposed model (12) (solid curve 1), by a modified approach based on the the estimations of second moment of stresses (dotted curve 2—secant concept method, dot-dashed curve 3—flow theory), and by mean field method (dashed curve 4—secant concept method, dot-dashed curve 5—flow theory)
Grahic Jump Location
Overall plastic strain ε*33p as a function of uniaxial loading σ330 calculated by the proposed model (12) (solid curve), by FEA (dotted curve) and by the traditional mean field method (11) (dashed curve). Overall plastic strain ε*33p for model material with replacement of the inclusions by voids (dot-dashed curve).
Grahic Jump Location
Accumulated effective plastic strains γ(x) as a function of the polar angle θ, calculated by FEA (dot-dashed curve for |x|=a+0, dotted curve for |x|=a(1+ξ)−0) and by the proposed model (dashed curve for nc=11, solid curve for nc=33)
Grahic Jump Location
Normalized overall plastic strain ε*33pn as a function of hydrostatic loading σ00 calculated for ξ=0.1 by the proposed model (12), (171819) (solid curve) and by FEA (circles)
Grahic Jump Location
Accumulated effective plastic strains γ(x)/c(1) as a function of hydrostatic loading σ00 calculated by FEA (dashed curve for |x|=a+0, dot-dashed curve for |x|=a(1+ξ)−0) and by the proposed model (solid curve). (a) ξ=0.033, (b) ξ=0.1



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