Local and non-local thermomechanical modeling of elastic-plastic materials undergoing large strains
Authors:
- Balbina Wcisło,
- Jerzy Pamin
Abstract
This paper deals with the numerical analysis of instabilities for elastic-plastic materials undergoing large deformations in non-isothermal conditions. The considered isotropic model is fully thermomechanically coupled and includes temperature-induced softening, which is another source of strain localization next to geometrical effects. Due to complexity of the model, a symbolic-numerical tool Ace is used for the preparation of user-supplied subroutines for the finite element method. The computational verification is performed using two benchmark tests: necking of circular bar in tension and shear banding of elongated rectangular plate in plain strain conditions. The attention is focused on mesh dependence of the numerical results and the regularizing effect of heat conduction. The research reveals that the conductivity influences the shear band width and ductility of the material response; however, for the adiabatic case, the results are discretization sensitive, and another regularization is needed. A new gradient-enhanced thermomechanical model is developed that introduces an internal length parameter governing the size of the shear band caused by thermal softening. The numerical verification of the non-local model is performed for the adiabatic case. Subsequently, the simultaneous application of the gradient enhancement and heat conduction in the model is analyzed, which reproduces an evolving shear band. Copyright © 2016 John Wiley & Sons, Ltd.
- Record ID
- CUTad2fb75305624108af84d3ce4b79ef47
- Publication categories
- ;
- Author
- Journal series
- International Journal for Numerical Methods in Engineering, ISSN 0029-5981, e-ISSN 1097-0207
- Issue year
- 2017
- Vol
- 109
- No
- 1
- Pages
- 102-124
- Other elements of collation
- rys.; tab.; wykr.; Bibliografia (na s.) - 123-124; Bibliografia (liczba pozycji) - 56; Oznaczenie streszczenia - Summ.; Data udostępnienia on-line - 2016-05-17; Numeracja w czasopiśmie - Vol. 109, Iss. 1
- Keywords in English
- large strains, thermoplasticity, thermal softening, instability, gradient-enhancement, AceGen package
- DOI
- DOI:10.1002/nme.5280 Opening in a new tab
- URL
- http://onlinelibrary.wiley.com/doi/10.1002/nme.5280/full Opening in a new tab
- Related project
- Analiza numeryczna niestateczności izotropowego materiału termoplastycznego przy dużych deformacjach. . Project leader at PK: , ,
Projects financed by NSC [Projekty finansowane przez NCN] - Language
- eng (en) English
- Score (nominal)
- 40
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUTad2fb75305624108af84d3ce4b79ef47/
- URN
urn:pkr-prod:CUTad2fb75305624108af84d3ce4b79ef47
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.