Ambrosio-Tortorelli type functionals with linear growth homogenize to free-discontinuity energies with jump-amplitude-dependent surface terms under mild assumptions including stationary random integrands.
Homogenization of multiple integrals, volume 12 of Oxford Lecture Series in Mathematics and its Applications
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Homogenisation of phase-field functionals with linear growth
Ambrosio-Tortorelli type functionals with linear growth homogenize to free-discontinuity energies with jump-amplitude-dependent surface terms under mild assumptions including stationary random integrands.