Titlebook: Energetic Relaxation to Structured Deformations; A Multiscale Geometr José Matias,Marco Morandotti,David R. Owen Book 2023 The Editor(s) (i

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Book 2023variational approach to structured deformations. It sets the basis and makes more accessible the theoretical apparatus for assigning an energy to a structured deformation, thereby providing motivation to researchers in applied mathematics, continuum mechanics, engineering, and materials science to s

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Energetic Relaxation to Second-Order Structured Deformations,r structured deformations, we show how they can be approximated in a suitable sense by simple deformations, and we show how, starting from an initial energy defined on simple deformations, it is possible to relax it to assign an energy to a given second-order structured deformation. This relaxation

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Outlook for Future Research,spects that are amenable to analysis via the theory of relaxation to structured deformations. Section 5.1 provides an attempt to identify mathematical measures of the degree to which a deformed continuum with microvoids occupies a prescribed region in space, while Sect. 5.2 details aspects of multis

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