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Of high interest is the investigation of the time evolution of martensitic microstructure. We vary the loading of the specimen through time dependent boundary conditions and simulate its response with respect to deformation, energy dissipation and stress. On the left are the results of a tensile experiment for an Indium-Thallium alloy. Click on the image to get the full movie. |
We developed a model which inhibits additional viscosity and capillarity. Furthermore this model comprises a dissipative mechanism to handle phenomenologically the dissipation which occurs during phase transformations. This allows us to examine the stress/strain behavior of the specimen.
In the following diagram you can study the stress/strain relationship in connection with the movie showing the deformation.
| On the right side is another experiment with
the InTl alloy: now a shear load is applied to two opposite sides. |
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For further information you are referred to [1]. This paper comprises the detailed description of the used model, its numerical treatment and analytical properties such as existence of solutions, convergence and energetic properties. Furthermore numerical experiments are discussed.
| Home: | Home page of Marcel Arndt |
| Up: | Front page of Microstructure and Shape Memory Alloys. |
| Back: | Mathematical modeling |
| Next: | Applications |
