Journal
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S
Volume 14, Issue 11, Pages 3925-3952Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcdss.2020459
Keywords
Martensitic transformation; Nitinol wire; matematical modelling; existence of weak solutions; staggered time discretization; convergence; computational simulations; experiments
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Funding
- Czech Science Foundation [18-03834S, 19-04956S]
- MSMT CR [LTAUSA18199]
- [RVO: 61388998]
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This study enhances a phenomenological model for polycrystalline NiTi shape-memory alloys with refined dissipation function by incorporating thermomechanical coupling, and rigorously analyzes it in terms of weak solution existence, numerical stability, and convergence through staggered time discretization. The model is verified through one-dimensional computational simulations and compared with real laboratory experiments on a NiTi wire, demonstrating its validity.
A phenomenological model for polycrystalline NiTi shape-memory alloys with a refined dissipation function is here enhanced by a thermomechanical coupling and rigorously analyzed as far as existence of weak solutions and numerical stability and convergence of the numerical approximation performed by a staggered time discretization. Moreover, the model is verified on one-dimensional computational simulations compared with real laboratory experiments on a NiTi wire.
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