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TECHNICAL PAPERS

Recent Developments in Gradient Plasticity—Part I: Formulation and Size Effects

[+] Author and Article Information
Ioannis Tsagrakis

Laboratory of Mechanics and Materials (LMM), Polytechnic School, Aristotle University of Thessaloniki, Thessaloniki, GR-54006 Greece   e-mail: mom@mom.gen.auth.gr

Elias C. Aifantis

Laboratory of Mechanics and Materials (LMM), Polytechnic School, Aristotle University of Thessaloniki, Thessaloniki, GR-54006 GreeceCenter for the Mechanics of Material Instabilities and Manufacturing Processes (MMINMP), Michigan Tech, Houghton, MI 49931

J. Eng. Mater. Technol 124(3), 352-357 (Jun 10, 2002) (6 pages) doi:10.1115/1.1479695 History: Received January 19, 2002; Revised February 19, 2002; Online June 10, 2002
Copyright © 2002 by ASME
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References

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Malmberg,  T., Tsagrakis,  I., Eleftheriadis,  I., and Aifantis,  E. C., 2001, On the Gradient Plasticity Approach to Size Effects, Part II: Applications, Forschungszentrum Karlsruhe, Scientific Report FZKA 6322.

Figures

Grahic Jump Location
Size effects in torsion. If size effects were absent or strain gradient effects were neglected, all curves would fall on a single curve.
Grahic Jump Location
Size effects in bending. If size effects were absent or strain gradient effects were neglected, all curves would fall on a single curve.
Grahic Jump Location
(a) Tension of a perforated plate and (b) size effect on the normalized applied stress (σao) versus nominal strain (u/H) graph for geometrically similar perforated plates.
Grahic Jump Location
Size effect on the effective plastic strain distribution for geometrically similar perforated plates at a nominal strain u/H=6.666⋅10−3

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