%Aigaion2 BibTeX export from Bibliography database
%Sunday 10 May 2026 07:53:37 AM

@MISC{,
            author = {Bene{\v s}ov{\'{a}}, Barbora and Frost, Miroslav and Sedl{\'{a}}k, Petr},
             title = {A microscopically motivated constitutive model for shape memory alloys: formulation, analysis and computations},
              year = {2013},
          abstract = {We present a 3D constitutive model for NiTi polycrystalline shape memory alloys
exhibiting transformations between three solid phases (austenite, R-phase, martensite).
The “full modeling sequence” comprising of formulation of modeling assumptions,
construction of the model, mathematical analysis and numerical implementation
and validation is presented.
Namely, by formulating micromechanics-inspired modeling assumptions we concentrate
on describing the dissipation mechanism – a refined form of this description
makes our model especially useful for complex loading paths. We then embed the
model into the so-called energetic framework – extended to our case – while taking
advantage of describing the dissipation mechanism through the so-called dissipation
distance. We prove existence of energetic solutions to our model by a backward Euler
scheme. This is then implemented into a finite element software and numerical
simulations compared with experiments are also presented.},
  Preprint project = {NCMM},
     Preprint year = {2013},
   Preprint number = {17},
       Preprint ID = {NCMM/2013/17}
}