Second-Order Structured Deformations: Relaxation, Integral Representation and Applications

被引：0
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作者：
Ana Cristina Barroso
José Matias
Marco Morandotti
David R. Owen
机构：
[1] Universidade de Lisboa,Departamento de Matemática and CMAF
[2] Instituto Superior Técnico,CIO, Faculdade de Ciências
[3] Technische Universtität München,Departamento de Matemática
[4] Carnegie Mellon University,Fakultät für Mathematik
来源：
Archive for Rational Mechanics and Analysis | 2017年 / 225卷
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摘要：
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.
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页码：1025 / 1072
页数：47
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