Vol. 12, No. 1, 2017

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ISSN: 1559-3959
Gradient-enhanced large strain thermoplasticity with automatic linearization and localization simulations

Jerzy Pamin, Balbina Wcisło and Katarzyna Kowalczyk-Gajewska

Vol. 12 (2017), No. 1, 123–146
Abstract

The paper deals with the thermomechanical extension of a large strain hyperelasto-plasticity model and focuses on algorithmic aspects and localization simulations. The formulation includes the degradation of the yield strength due to the increase of an averaged plastic strain measure and temperature, thus, three sources for loss of stability are included in the description. A gradient-enhancement of the model is incorporated through an additional differential equation, but localization is also influenced by heat conduction. The finite element analysis is performed for an elongated plate in plane strain conditions, using different finite elements and values of material parameters related to regularization (internal length scales are related to gradient averaging as well as heat conduction). In particular, the influence of the F-bar enrichment on the simulation results is studied. All computational tests are performed using self-programmed user subroutines prepared within a symbolic-numerical tool AceGen which is equipped with automatic differentiation options, allowing for automatic linearization of the governing equations.

Keywords
thermoplasticity, softening, gradient averaging, strain localization, automatic linearization, AceGen package
Milestones
Received: 1 March 2016
Revised: 17 June 2016
Accepted: 31 August 2016
Published: 26 November 2016
Authors
Jerzy Pamin
Institute for Computational Civil Engineering
Cracow University of Technology
ul. Warszawska 24
31-155 Kraków
Poland
Balbina Wcisło
Institute for Computational Civil Engineering
Cracow University of Technology
ul. Warszawska 24
31-155 Kraków
Poland
Katarzyna Kowalczyk-Gajewska
Institute of Fundamental Technological Research
Polish Academy of Sciences
ul. Pawińskiego 5B
02-106 Warszawa
Poland