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On problems in homogenization and two-scale convergence

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Figure

Figure 2.1: Illustration of the periodicity cell concept
Figure 2.2: Hexagonal periodicity cells in cross sections of wire rope
Figure 2.4: Interpretation of Marcellini’s cell formula – zoom on the local microstruc-ture
Figure 2.5: Various choices of the periodicity cell for one and the same microstructure
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Outline

Passage to nonconvex homogenization: 80s Two-scale convergence The periodic unfolding method Periodic unfolding for non-translatory microstructures A short literature review on interface problems On two problems arising in continuum mechanics Notation and preliminaries Introduction and outline An oscillating integral functional involving two coordinate frames An example of nonconvergence

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