Thermodynamic and relaxation-based modeling of the interaction between martensitic phase transformations and plasticity

Partially relaxed energy potentials for the modelling of microstructures – application to shape memory alloys

“…Indeed, such stationarity conditions and evolution laws given by (37) and (42) can alternatively be derived in a purely thermodynamical framework without the application of a relaxation scheme as for example shown in [42]. In this case, however, the stability properties and quality of the proposed model is not intrinsically included.…”

An experimental, theoretical and numerical investigation of shape memory polymers

“…We conduct the numerical investigation of the proposed model through an effective and efficient computational procedure, introduced in the framework of crystal plasticity by Schmidt-Baldassari (2003) and of shape memory alloys by Hackl (2009, 2010), Bartel et al (2011), Kiefer et al (2012, Auricchio et al (2014). It consists in replacing the KuhnTucker complementarity inequality conditions by the equivalent Fischer-Burmeister complementarity function (Fischer, 1992) and in making possible to omit an active set search, which is an advantage when dealing with several variable constraints as in the proposed model.…”

Analysis of banded microstructures in multiphase steels assisted by transformation-induced plasticity

“…It further increases the ductility of the steel, due to plastic deformations induced in the ferritic and bainitic phases by a volumetric expansion of the transforming austenitic phase. These two microstructural mechanisms essentially characterize the TRIP-effect, and therefore have been taken into account in various macroscopic and microscopic continuum models developed during the last four decades [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23].…”