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  1. International Journal of Mechanics and Materials in Design
  2. International Journal of Mechanics and Materials in Design : Volume 9
  3. International Journal of Mechanics and Materials in Design : Volume 9, Issue 2, June 2013
  4. Finite-volume enabled transformation field analysis of periodic materials
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International Journal of Mechanics and Materials in Design : Volume 13
International Journal of Mechanics and Materials in Design : Volume 12
International Journal of Mechanics and Materials in Design : Volume 11
International Journal of Mechanics and Materials in Design : Volume 10
International Journal of Mechanics and Materials in Design : Volume 9
International Journal of Mechanics and Materials in Design : Volume 9, Issue 4, December 2013
International Journal of Mechanics and Materials in Design : Volume 9, Issue 3, September 2013
International Journal of Mechanics and Materials in Design : Volume 9, Issue 2, June 2013
Molecular dynamics simulation of the thermal conductivity of shorts strips of graphene and silicene: a comparative study
Toughening mechanisms in multiphase nanocomposites
A multiscale framework for high-velocity impact process with combined material point method and molecular dynamics
A micromechanical approach to the stress–strain relations, strain-rate sensitivity and activation volume of nanocrystalline materials
Finite-volume enabled transformation field analysis of periodic materials
Multiscale analysis of impact mitigation in soft tissues using nanotube reinforced composites
International Journal of Mechanics and Materials in Design : Volume 9, Issue 1, March 2013
International Journal of Mechanics and Materials in Design : Volume 8
International Journal of Mechanics and Materials in Design : Volume 7
International Journal of Mechanics and Materials in Design : Volume 6
International Journal of Mechanics and Materials in Design : Volume 5
International Journal of Mechanics and Materials in Design : Volume 4
International Journal of Mechanics and Materials in Design : Volume 3
International Journal of Mechanics and Materials in Design : Volume 2
International Journal of Mechanics and Materials in Design : Volume 1

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Finite-volume enabled transformation field analysis of periodic materials

Content Provider Springer Nature Link
Author Cavalcante, Marcio A. A. Pindera, Marek Jerzy
Copyright Year 2013
Abstract The transformation field analysis (TFA) proposed by Dvorak et al. in a sequence of papers in the 1990s is an important conceptual cornerstone of the elastic–plastic analysis of heterogeneous materials. However, the need for highly discretized unit cells required to attain converged homogenized response using finite-element based calculation of the plastic influence matrices employed in TFA simulations has given rise to further developments, including the recent nonlinear TFA approach. This variant leverages characteristic plastic modes that arise in elastic–plastic heterogeneous materials. Herein, we re-visit the TFA approach in the context of periodic materials with large phase moduli contrast, and first quantify the unit cell discretization required to attain the same level of convergence as with full unit cell finite-element based analysis. Subsequently we demonstrate that the finite-volume based calculation of strain concentration and plastic influence matrices requires substantially smaller unit cell discretizations to achieve the same degree of macroscopic and microscopic level accuracy, resulting in large execution time reductions and fewer parameters that describe the underpinning plastic deformation mechanisms. Further reductions may be achieved by explicitly leveraging plastic field localization that assumes distinct spatial distributions or characteristic modes.
Starting Page 153
Ending Page 179
Page Count 27
File Format PDF
ISSN 15691713
Journal International Journal of Mechanics and Materials in Design
Volume Number 9
Issue Number 2
e-ISSN 15738841
Language English
Publisher Springer Netherlands
Publisher Date 2013-03-08
Publisher Place Dordrecht
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Transformation field analysis Micromechanics Homogenization Finite-volume theory Finite-element analysis Continuum Mechanics and Mechanics of Materials Mechanics Characterization and Evaluation of Materials Engineering Design
Content Type Text
Resource Type Article
Subject Mechanics of Materials Materials Science Mechanical Engineering
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