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

V. A. Buryachenko; F. G. Rammerstorfer; A. F. Plankensteiner

doi:10.1115/1.1479697

Journal of Applied Mechanics | Volume 69 | Issue 4 | TECHNICAL PAPERS

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TECHNICAL PAPERS

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

V. A. Buryachenko, Visiting Professor, F. G. Rammerstorfer, Professor and A. F. Plankensteiner, Research Assistant

[+] 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

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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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Normalized overall plastic strain ε_*33^pn as a function of hydrostatic loading σ₀⁰ calculated for ξ=0.1 by the proposed model (12), (171819) (solid curve) and by FEA (circles)

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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 n^c=11, solid curve for n^c=33)

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Overall plastic strain ε_33^p 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_33^p for model material with replacement of the inclusions by voids (dot-dashed curve).

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Overall plastic strain ε_*33^p 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)

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Overall plastic strain ε_*33^p as a function of uniaxial cyclic loading σ₃₃⁰ calculated for different constant hydrostatic contributions σ₀^fix=−4 GPa (solid curve), 4 GPa (dotted curve); σ₃₃^max=2.8 GPa, (○)–onset of yielding

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Buryachenko VA, Rammerstorfer FG, Plankensteiner AF. A Local Theory of Elastoplastic Deformation of Two-Phase Metal Matrix Random Structure Composites. ASME. J. Appl. Mech. 2002;69(4):489-496. doi:10.1115/1.1479697.

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

References

Figures

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

Normalized overall plastic strain ε_*33^pn as a function of hydrostatic loading σ₀⁰ calculated for ξ=0.1 by the proposed model (12), (171819) (solid curve) and by FEA (circles)

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 n^c=11, solid curve for n^c=33)

Overall plastic strain ε_*33^p as a function of uniaxial cyclic loading σ₃₃⁰ calculated for different constant hydrostatic contributions σ₀^fix=−4 GPa (solid curve), 4 GPa (dotted curve); σ₃₃^max=2.8 GPa, (○)–onset of yielding

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

References

Figures

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

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)

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)

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

Tables

Errata

Discussions

Related Content

Journals

Conference Proceedings

eBooks

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

Normalized overall plastic strain ε_*33^pn as a function of hydrostatic loading σ₀⁰ calculated for ξ=0.1 by the proposed model (12), (171819) (solid curve) and by FEA (circles)

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 n^c=11, solid curve for n^c=33)

Overall plastic strain ε_*33^p as a function of uniaxial cyclic loading σ₃₃⁰ calculated for different constant hydrostatic contributions σ₀^fix=−4 GPa (solid curve), 4 GPa (dotted curve); σ₃₃^max=2.8 GPa, (○)–onset of yielding