Homogenized Gurson-type behavior equations for strain rate sensitive materials

Homogenized Gurson-type behavior equations for strain rate sensitive materials Acta Mech https://doi.org/10.1007/s00707-018-2189-0 ORIGINAL PAPER J. Reboul · G. Vadillo Homogenized Gurson-type behavior equations for strain rate sensitive materials Received: 25 July 2017 / Revised: 15 February 2018 © Springer-Verlag GmbH Austria, part of Springer Nature 2018 Abstract In this paper, the classical Gurson model for ductile porous media is extended for strain-rate- dependent materials. Based on micromechanical considerations, approximate closed-form macroscopic behav- ior equations are derived to describe the viscous response of a ductile metallic material. To this end, the analysis of the expansion of a long cylindrical void in an ideally plastic solid introduced by McClintock (J Appl Mech 35:363, 1968) is revisited. The classical Gurson yield locus has been modified to explicitly take into account the strain rate sensitivity parameter for strain rate power-law solids. Two macroscopic approaches are proposed in this work. Both models use the first term of a Taylor series expansion to approximate integrals to polynomial functions. The first proposed closed-form approach is analytically more tractable than the second one. The second approach is more accurate. In order to compare the proposed approximate Gurson-type macroscopic functions with the behavior of the original Gurson yield locus, numerical finite element analyses for cylindrical cells have http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mechanica Springer Journals

Homogenized Gurson-type behavior equations for strain rate sensitive materials

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Publisher
Springer Vienna
Copyright
Copyright © 2018 by Springer-Verlag GmbH Austria, part of Springer Nature
Subject
Engineering; Theoretical and Applied Mechanics; Classical and Continuum Physics; Continuum Mechanics and Mechanics of Materials; Structural Mechanics; Vibration, Dynamical Systems, Control; Engineering Thermodynamics, Heat and Mass Transfer
ISSN
0001-5970
eISSN
1619-6937
D.O.I.
10.1007/s00707-018-2189-0
Publisher site
See Article on Publisher Site

Abstract

Acta Mech https://doi.org/10.1007/s00707-018-2189-0 ORIGINAL PAPER J. Reboul · G. Vadillo Homogenized Gurson-type behavior equations for strain rate sensitive materials Received: 25 July 2017 / Revised: 15 February 2018 © Springer-Verlag GmbH Austria, part of Springer Nature 2018 Abstract In this paper, the classical Gurson model for ductile porous media is extended for strain-rate- dependent materials. Based on micromechanical considerations, approximate closed-form macroscopic behav- ior equations are derived to describe the viscous response of a ductile metallic material. To this end, the analysis of the expansion of a long cylindrical void in an ideally plastic solid introduced by McClintock (J Appl Mech 35:363, 1968) is revisited. The classical Gurson yield locus has been modified to explicitly take into account the strain rate sensitivity parameter for strain rate power-law solids. Two macroscopic approaches are proposed in this work. Both models use the first term of a Taylor series expansion to approximate integrals to polynomial functions. The first proposed closed-form approach is analytically more tractable than the second one. The second approach is more accurate. In order to compare the proposed approximate Gurson-type macroscopic functions with the behavior of the original Gurson yield locus, numerical finite element analyses for cylindrical cells have

Journal

Acta MechanicaSpringer Journals

Published: Jun 5, 2018

References

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