Issue |
ESOMAT 2009
2009
|
|
---|---|---|
Article Number | 03004 | |
Number of page(s) | 6 | |
Section | Principles, Simulations, Materials: Mathematical Modelling | |
DOI | https://doi.org/10.1051/esomat/200903004 | |
Published online | 01 September 2009 |
DOI: 10.1051/esomat/200903004
Numerical study of mean-field approach capabilities for shape memory alloys matrix composites description
Y. Chemisky1, B. Piotrowski2, T. Ben Zineb2 and E. Patoor11 LPMM, Metz University, Arts et Metiers ParisTech, CNRS, Ile du Saulcy 57045 Metz, France
2 LEMTA , Nancy University, CNRS, 2 rue Jean Lamour, 54500 Vandoeuvre-les-Nancy, France
chemisky@univ-metz.fr
Published online: 1 September 2009
Abstract
With the development of SMA devices, new alloys are developed to enhance some
specific properties like temperature hysteresis, plastic yield limit, change of
transformation temperatures... Phase precipitation or inclusions addition are often
use for these purposes. To predict the behavior of these heterogeneous materials
and allow structures simulations, mean-field approaches like MoriTanaka homogenization
scheme are convenient. But for phase-transformation strain mechanism, localization of
deformation and, in a second step, saturation of transformation strain around inclusions
have a significant impact on the global behavior. To check the capability of Mori-Tanaka
scheme to predict the behavior of these heterogenous functional materials, a unit
cell finite element analysis is considered as reference solution. One inclusion
is embedded in the matrix, with respect to the fraction volume of both phases.
Two situations are performed, both for NiTi-based materials. First represents the
precipitation effect of Ni-rich elastic precipitates Ni4Ti3
for annealed Ni-rich materials. Second case considers elastoplastic Nb inclusions in a NiTi matrix,
which induce a wide variation of reverse transformation temperatures. Limits of the
homogenization approach chosen are studied in these two cases.
© Owned by the authors, published by EDP Sciences 2009