Low volume-fraction microstructures in martensites and crystal plasticity

@article{Conti2015LowVM,
  title={Low volume-fraction microstructures in martensites and crystal plasticity},
  author={Sergio Conti and Barbara Zwicknagl},
  journal={arXiv: Analysis of PDEs},
  year={2015}
}
We study microstructure formation in two nonconvex singularly-perturbed variational problems from materials science, one modeling austenite-martensite interfaces in shape-memory alloys, the other one slip structures in the plastic deformation of crystals. For both functionals we determine the scaling of the optimal energy in terms of the parameters of the problem, leading to a characterization of the mesoscopic phase diagram. Our results identify the presence of a new phase, which is… Expand

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