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A microscopically motivated constitutive model for shape memory alloys: formulation, analysis and computations
Type of publication: Misc
Citation:
Publication status: Submitted
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
Keywords:
Authors Benešová, Barbora
Frost, Miroslav
Sedlák, Petr
Added by: [JP]
Total mark: 0
Attachments
  • A_micro_all.pdf
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