%0 Journal Article %T A shakedown analysis of high cycle fatigue of shape memory alloys %+ Università degli Studi di Pavia = University of Pavia (UNIPV) %+ Laboratoire de mécanique des solides (LMS) %+ Department of Structural Engineering - University of Naples "Federico II" %A Auricchio, F. %A Constantinescu, A. %A Menna, C. %A Scalet, G. %< avec comité de lecture %@ 0142-1123 %J International Journal of Fatigue %I Elsevier %V 87 %P 112-123 %8 2016-06 %D 2016 %R 10.1016/j.ijfatigue.2016.01.017 %K Shape memory alloys %K Lifetime prediction %K Dang Van fatigue criterion %K Shakedown %K High cycle fatigue %Z Physics [physics]/Mechanics [physics]/Materials and structures in mechanics [physics.class-ph]Journal articles %X Shape memory alloys (SMAs) are exploited in several innovative applications, experiencing up to millions of cycles, and thus requiring a fully understanding of material fatigue and fracture resistance. However, experimental and methodological descriptions of SMA cyclic response are still incomplete. Accordingly, the present paper aims to investigate the cyclic response of SMAs under macroscopic elastic shakedown and to propose a criterion for the high cycle fatigue of SMAs. A multiaxial criterion based on a multiscale analysis of the phase transformation between austenite and martensite and using the rigorous framework of standard generalized materials is proposed. The criterion is an extension of the Dang Van high cycle fatigue criterion to SMAs. The criterion is applied to uniaxial experimental data taken from the literature. It distinguishes run out from failure tests in the infinite lifetime regime. The sound structure of the underlying concepts permits a novel insight into the development of a general multiaxial failure criterion for SMA materials. %G English %2 https://polytechnique.hal.science/hal-01282081/document %2 https://polytechnique.hal.science/hal-01282081/file/2016-IJF-SMA-preprint.pdf %L hal-01282081 %U https://polytechnique.hal.science/hal-01282081 %~ X %~ INSTITUT-TELECOM %~ ENSMP %~ CNRS %~ X-LMS %~ X-DEP %~ X-DEP-MECA %~ ENSMP_LMS %~ PARISTECH %~ PSL %~ UNIV-PARIS-SACLAY %~ X-SACLAY %~ ENSMP_DEP_MM %~ ENSMP-PSL %~ ANR