Modeling of shape-memory alloys on the mesoscopic level

Abstract

Abstract. This contribution presents some recent results on modeling of phase transformation in the pseudo-elastic regime within the framework of continuum mechanics. We recall an efficient concept for quasi-static evolution of microstructure in the isothermal rate-independent case. We then concentrate on simulation results obtained by the presented model, performed on a single-crystal prismatic NiTi-specimen. Algorithmic details, i.e. energy-estimates-based optimization, are also given.

BEM solution of delamination problems using an interface damage and plasticity model

“…tion more successfully at particular time levels we use heuristic back-tracking algorithm (BTA), devised and tested on such sort of problems in [3,4,31,36,37]. The BTA technique is based on checking a two-sided energy estimate, the integral expression in Table 2, where also some pseudo-code of BTA is given.…”

Micro-to-Meso Scale Limit for Shape-Memory-Alloy Models with Thermal Coupling

“…Cf. [7,28,32] for such generalization. y| that is a part of the dissipation potential in the microscopic case only (cf.…”

“…Mesoscopic models, based on relaxation of a static variational problem as in [5,38,44,48], can efficiently be used for larger specimens of the order of centimeters again having in mind single crystals. So far, isothermal variants of mesoscopic models as in [7,8,28,33,53] or variants with a prescribed time-dependent temperature, [31,32] have been scrutinized, but a variant including thermo-coupling effects has been still missing. In this paper we fill this gap and devise a thermodynamically consistent mesoscopic model featuring thermal coupling.…”