TY  - GEN 
T1  - A microscopically motivated constitutive model for shape memory alloys: formulation, analysis and computations
A1  - Benešová, Barbora
A1  - Frost, Miroslav
A1  - Sedlák, Petr
Y1  - 2013
N2  - 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.
M1  - Preprint project = NCMM
M1  - Preprint year = 2013
M1  - Preprint number = 17
M1  - Preprint ID = NCMM/2013/17
ER  -