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Abstract

Deformation theories of plasticity, extended by spatial first and/or second order strain gradients are used and solutions are obtained for different types of idealized specimens to determine the extent at which strain gradient models describe size influences on the deformation behavior. The following cases are considered:
(a) Pure torsion and pure bending which allow within the strength-of-materials approximations closed form solutions.
(b) A deformation theory of plasticity is assumed with a P9wer law for the strain hardening which is extended by a 2nd order strain gradient term applied to the tension problem of tapered rods.
(c) An internal variable model is assumed where the evolution of a microscopic internal variable is described by a reaction- diffusion equation; thus, the internal length is introduced through the diffusion coefficient. The model is applied to smooth tension specimens.

For the three problem areas the exact or approximate analytical solutions and their evaluation are presented and discussed. sed.

Additional information

Authors: MALMBERG T, Forschungszentrum Karlsruhe GmbH, Institute f³r Reaktorsicherheit, Karlsruhe (DE);TSAGRAKIS I, Aristotle University of Thessaloniki, Laboratory of Mechanics and Materials, (GR);ELEFTHERIADIS I, Aristotle University of Thessaloniki, Laboratory of Mechanics and Materials, (GR);AIFANTIS E.C, Aristotle University of Thessaloniki, Laboratory of Mechanics and Materials, (GR);KROMPHOLZ K, Paul Scherre Institut, Labor f³r Werkstoffverhalten, Villigen (CH);SOLOMOS G, JRC-Institute for Systems, Informatics and Safety, Ispra (IT)
Bibliographic Reference: An oral report given at: 16th International Conference on Structural Mechanics in Reactor Technology SMiRT16. Organised by: Prof. Ajaya Kumar Gupta, North Carolina State University (US). Held in: Washington DC USA, 12-17 August, 2001
Record Number: 200013413 / Last updated on: 2001-06-27
Category: PUBLICATION
Original language: en
Available languages: en