Determination of the interaction energy in the martensitic state C. Niclaeys, T. Ben Zineb, S. Arbab-Chirani, E. Patoor* LPMM-ISGMP UMR CNRS 7554/ENSAM, CER de Metz., 4 rue Augustin Fresnel, 57078 Metz, France Received in final revised form 18 March 2002 Abstract This study deals with the problem of interactions between martensite Habit Plane Variants (HPV) in Shape Memory Alloys (SMA). A new approach to this problem, based on the defi- nition of ‘‘clusters of variants‘‘, allows a better description of observed phenomena. This method is applied in two situations where the results obtained using classical formulations did not correspond to the observations. In Cu-based SMA, the classical interaction matrix shows limitations for the simulation of cooling at low stress level. This matrix does not make it possible to take into account the large number of HPVs which are activated during such a cooling and leads to compute a very large interaction energy. The new formulation uses a description closer to the actual martensitic microstructure developed during this kind of loading, and leads to a more realistic determination of the interaction energy. The definition of a new interaction matrix is derived from this approach. The classical calculation of the interaction matrix does not make it possible to obtain the self-accommodating groups experimentally observed for NiTi SMA. This is related to the morphology of martensite HPVs in these alloys which are composed of two Correspondence Variants (CV). The new approach is applied at the CV scale and the obtained interaction matrix fully agrees with observations. # 2002 Elsevier Science Ltd. All rights reserved. Keywords: A. Phase transformation; A. Microstructure; Martensite; Shape memory alloy (SMA) 1. Introduction The modeling of the Shape Memory Alloys (SMA) behavior has been the object of many attention since the beginning of the 80’s. A large field of applications of International Journal of Plasticity 18 (2002) 1619–1647 www.elsevier.com/locate/ijplas 0749-6419/02/$ - see front matter # 2002 Elsevier Science Ltd. All rights reserved. PII: S0749-6419(02)00032-3 * Corresponding author. Tel.: +33-387-37-54-61; fax: +33-387-37-54-70. E-mail address: etienne.patoor@metz.ensam.fr (E. Patoor).