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Deformation of plastically compressible hardening-softening-hardening solids

Needleman, A. and Hutchens, S. B. and Mohan, N. and Greer, J. R. (2012) Deformation of plastically compressible hardening-softening-hardening solids. Acta Mechanica Sinica, 28 (4). pp. 1115-1124. ISSN 0567-7718. doi:10.1007/s10409-012-0117-4. https://resolver.caltech.edu/CaltechAUTHORS:20121011-101015825

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Abstract

Motivated by a model of the response of vertically aligned carbon nanotube (VACNT) pillars in uniaxial compression, we consider the deformation of a class of compressible elastic-viscoplastic solids with a hardening-softening-hardening variation of flow strength with plastic strain. In previous work (Hutchens et al. 2011) a constitutive relation was presented and used to model the response of VACNT pillars in axisymmetric compression. Subsequently, it was found that due to a programming error the constitutive relation presented in the paper (Hutchens et al. 2011) was not the one actually implemented. In particular, the plastic flow rule actually used did not satisfy plastic normality. Here, we present the constitutive formulation actually implemented in the previous work (Hutchens et al. 2011). Dynamic, finite deformation, finite element calculations are carried out for uniaxial compression, uniaxial tension and for indentation of a “half-space” by a conical indenter tip. A sequential buckling-like deformation mode is found in compression when there is plastic non-normality and hardening-softening-hardening. The same material characterization gives rise to a Lüders band-like deformation mode in tension. When there is a deformation mode with a sharp front along mesh boundaries, the overall stress-strain response contains high frequency oscillations that are a mesh artifact. The responses of non-softening solids are also analyzed and their overall stress-strain behavior and deformation modes are compared with those of hardening-softening-hardening solids. We find that indentation with a sharp indenter tip gives a qualitatively equivalent response for hardening and hardening-softening-hardening solids.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1007/s10409-012-0117-4 DOIArticle
http://www.springerlink.com/content/085253m738828748/PublisherArticle
ORCID:
AuthorORCID
Greer, J. R.0000-0002-9675-1508
Additional Information:© 2012 The Chinese Society of Theoretical and Applied Mechanics and Springer-Verlag Berlin Heidelberg. Received: 2 May 2012; Revised: 12 June 2012; Accepted: 14 June 2012. This work was partially supported by the Institute for Collaborative Biotechnologies through grant W911NF-09-0001 from the U.S. Army Research Office. The content of the information does not necessarily reflect the position or the policy of the Government, and no official endorsement should be inferred.
Funders:
Funding AgencyGrant Number
Army Research Office (ARO)W911NF-09-0001
Subject Keywords:Plasticity; Localization; Indentation; Finite Element Analysis
Issue or Number:4
DOI:10.1007/s10409-012-0117-4
Record Number:CaltechAUTHORS:20121011-101015825
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20121011-101015825
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:34845
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:11 Oct 2012 18:43
Last Modified:09 Nov 2021 23:11

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