Preprint
Inserted: 16 jan 2026
Last Updated: 16 jan 2026
Year: 2026
Abstract:
We extend the theory of structured deformations to the setting of linearized elasticity by providing an integral representation for the underlying energy that features bulk and surface contributions. Our derivation is obtained both via a direct approach by means of a global method for relaxation in $BD$ and via an approximation from nonlinear elastic energies associated to {nonsimple} materials.
Keywords: Integral representation, Structured deformations, multiscale geometry, linearized elasticity, global method for relaxation
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