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 | |
| Added by: | [JP] |
| Total mark: | 0 |
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