SMA UM: User Material Subroutine for
Thermomechanical Constitutive Model of Shape
Memory Alloys
Dimitris C. Lagoudas
Zhonghe Bo
Muhammad A. Qidwai
Pavlin B. Entchev
Department of Aerospace Engineering
Texas A&M University
3141 TAMU
College Station, TX 77843-3141
March 17, 2003
1 Introduction
This manual provides a comprehensive review of user subroutine SMA_UM (Shape
Memory Alloy — Unified Model). SMA_UM is a FORTRAN coded numerical
implementation of an SMA thermomechanical constitutive model. The cur-
rent version of SMA_UM implements the unified constitutive model presented by
Lagoudas et al. (1996), which unifies and generalizes to three dimensions the
constitutive models presented by Tanaka (1986), Boyd and Lagoudas (1996) and
Liang and Rogers (1992). The model is numerically implemented using return
mapping algorithms. Detailed description of the implementation is provided in
the research paper by Qidwai and Lagoudas (2000). The current implementa-
tion of the subroutine follows the specifications for user-material subroutines by
ABAQUS and is intended primarily for use with ABAQUS. However, the sub-
routine can be integrated in any other standard finite element or computational
program. The subroutine can be used in 3-D, 2-D plane strain and generalized
plane strain, and 1-D problems.
A brief outline on the functions performed by the subroutine and the input
and output parameters is given in Section 2. The capabilities of the subroutine
are demonstrated in Section 3, where the results for various loading cases are
presented.
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