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We consider a partial differential inclusion problem which models stress-free martensitic inclusions in an austenitic matrix, based on the standard geometrically nonlinear elasticity theory. We show that for specific parameter… Click to show full abstract
We consider a partial differential inclusion problem which models stress-free martensitic inclusions in an austenitic matrix, based on the standard geometrically nonlinear elasticity theory. We show that for specific parameter choices there exist piecewise affine continuous solutions for the square-to-oblique and the hexagonal-to-oblique phase transitions. This suggests that for specific crystallographic parameters the hysteresis of the phase transformation will be particularly small.
Keywords:
martensitic inclusions;
nonlinear elasticity;
free martensitic;
piecewise affine;
stress free
Journal Title: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Year Published: 2017
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Journal Title: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!