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Proceedings Paper

Simulation of the thermomechanical behavior of shape memory alloys under multiaxial nonproportional loading
Author(s): Levente Juhasz; Heiko Andrae; O. Hesebeck
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Paper Abstract

The paper presents a mathematical description of shape memory alloys within the framework of continuum mechanics, where the spatially multidimensional case is considered. A new simple model is introduced, which correctly describes not only all well-studied shape memory effects but also the more complex behavior. The key idea is a new set of internal state variables, which are averaged values for a representative volume element of the polycrystalline material. A tensor-valued variable describes the state of orientation of martensite. The relative volume fraction of stress induced martensite is defined by taking a certain tensor norm of this internal variable. A free energy is chosen and thermodynamical forces are derived. These forces are sufficient to define the onset of the phase transitions, so that we do not need to introduce transition surfaces explicitly within the evolution equations. Finite element discretizations for the approximation of the field variables and finite difference approximations for the time integration of local variables are explained.

Paper Details

Date Published: 14 June 2000
PDF: 12 pages
Proc. SPIE 3992, Smart Structures and Materials 2000: Active Materials: Behavior and Mechanics, (14 June 2000); doi: 10.1117/12.388232
Show Author Affiliations
Levente Juhasz, Univ.of Karlsruhe (Germany)
Heiko Andrae, Univ.of Karlsruhe (Germany)
O. Hesebeck, Univ.of Karlsruhe (Germany)

Published in SPIE Proceedings Vol. 3992:
Smart Structures and Materials 2000: Active Materials: Behavior and Mechanics
Christopher S. Lynch, Editor(s)

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