Second-order structured deformations of continua provide an extension of the multiscale geometry of first-order structured deformations by taking into account the effects of submacroscopic bending and curving. We derive here an integral representation for a relaxed energy functional in the setting of second-order structured deformations. Our derivation covers inhomogeneous initial energy densities (i.e., with explicit dependence on the position); finally, we provide explicit formulas for bulk relaxed energies as well as anticipated applications.
CITATION STYLE
Barroso, A. C., Matias, J., Morandotti, M., & Owen, D. R. (2017). Second-Order Structured Deformations: Relaxation, Integral Representation and Applications. Archive for Rational Mechanics and Analysis, 225(3), 1025–1072. https://doi.org/10.1007/s00205-017-1120-5
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