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Linearization for solid-solid phase transitions

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Linearization for solid-solid phase transitions
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26
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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In this talk we will establish a quantitative rigidity estimate for two-well nonlinear elastic energies, in the case in which the two wells have exactly one rank-one connection, and we will analyze linearization around a laminate in the setting of two-dimensional solid-solid phase transition. In particular, we will identify by Gamma-convergence an effective limiting model. This limiting description will be given by the sum of a quadratic linearized elastic energy with two surface terms, corresponding to the total length of interfaces created by jumps of the deformation gradient and of the displacement field, respectively.