Structure-Analitycal Theory of Martensitic Unelasticity

Abstract

HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L'archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d'enseignement et de recherche français ou étrangers, des laboratoires publics ou privés. Structure-Analitycal Theory of Martensitic Unelasticity V. LikhachevTo cite this version: Abstract. The article presents a theory able to calculate various phenomena of martensitic unelasticity as well as of dislocation plasticity. The theory is based on the structure-analytical conception. The developed lnethodology accounts for such fundamental phenomena as kinetics of martensite crystals growth; influence of temperature, stress and neutron radiation; influence of nonhomogeucons strain of dislocation origin and its dependence on diffusion and radiation damage, etc. The developed theory allows to predict tnechanical behaviour of crystals under an arbitrary themoniechanical and radiation effect thus making possible to solve numerous applied problems.

On the partial recovery of residual strain accumulated during an interrupted cyclic loading of NiTi shape memory alloys

“…martensitic transformation and it has been used by others [4]. Another micromechanical model is the one proposed by Likhachev [5,6] and adapted by Evard et al [7,8], Volkov et al [9], Wong et al [10], and Pushtshaenko et al [11]. The model proposed by Likhachev introduces the concept of 'effective temperature' that describes both stress and temperature states within the framework of the general Clausius-Clapeyron relation.…”

Simulation of the Damping of a Shape Memory Alloy Rod by Using the Likhachev Model

“…In this paper the simulation of the damping of a shape memory alloy rod is demonstrated according to the theory of Likhachev (1995). The computational results are in good qualitative agreement with the work of Oberaigner et al (1999).…”

Experimental validation of shape memory material model implemented in commercial finite element software under multiaxial loading

“…The literature contains some examples of material modeling for SMAs, taking into account this orientational sensitivity and regional variation. For instance, the model suggested by Likhachev (1995), and later adapted for one-dimensional (1D) modeling by Terriault and Brailovski (2011, 2013), divides the material domain into multiple regions of different crystallographic orientations, where the stress direction affects their rate of transformation. The transformation strain is then evolved by an averaged value of martensitic volume fraction over the whole domain.…”