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- W2898025683 abstract "We establish a quantitative rigidity estimate for two-well frame-indifferent nonlinear energies, in the case in which the two wells have exactly one rank-one connection. Building upon this novel rigidity result, we then analyze solid-solid phase transitions in arbitrary space dimensions, under a suitable anisotropic penalization of second variations. By means of $Gamma$-convergence, we show that, as the size of transition layers tends to zero, singularly perturbed two-well problems approach an effective sharp-interface model. The limiting energy is finite only for deformations which have the structure of a laminate. In this case, it is proportional to the total length of the interfaces between the two phases." @default.
- W2898025683 created "2018-10-26" @default.
- W2898025683 creator A5006393097 @default.
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- W2898025683 date "2018-10-15" @default.
- W2898025683 modified "2023-09-27" @default.
- W2898025683 title "Two-well rigidity and multidimensional sharp-interface limits for solid-solid phase transitions" @default.
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