Premium
Implicit stress integration method of Shape Memory material model
Author(s) -
Dunić Vladimir,
Slavković Radovan,
Busarac Nenad,
Slavković Vukašin,
Živković Miroslav
Publication year - 2013
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201310071
Subject(s) - shape memory alloy , finite element method , scalar (mathematics) , stress (linguistics) , numerical integration , mathematics , stress–strain curve , computer science , phenomenological model , structural engineering , mathematical analysis , engineering , geometry , artificial intelligence , linguistics , philosophy , statistics
The phenomenological SMA material model proposed by Lagoudas [1] is modified and implemented in finite element software PAK [2]. Critical thermodynamic force is derived to match implicit integration method. All variables are derived to depend on effective values of stress, strain and martensitic volume fraction. One scalar equation need to be solved in the integration point using trial stress direction for each time step. The integration in the trial deviatoric stress direction provides possibility to solve large strain problems using the algorithms developed for small strains. Two one‐dimensional and one non‐proportional large strain example verified accuracy of proposed modifications. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)