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- W3132495830 abstract "Abstract In this paper, we present a general method to derive the explicit constitutive relations for isotropic elastic 6-parameter shells made from a Cosserat material. The dimensional reduction procedure extends the methods of the classical shell theory to the case of Cosserat shells. Starting from the three-dimensional Cosserat parent model, we perform the integration over the thickness and obtain a consistent shell model of order $$ O(h^5) $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>O</mml:mi> <mml:mo>(</mml:mo> <mml:msup> <mml:mi>h</mml:mi> <mml:mn>5</mml:mn> </mml:msup> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> with respect to the shell thickness h . We derive the explicit form of the strain energy density for 6-parameter (Cosserat) shells, in which the constitutive coefficients are expressed in terms of the three-dimensional elasticity constants and depend on the initial curvature of the shell. The obtained form of the shell strain energy density is compared with other previous variants from the literature, and the advantages of our constitutive model are discussed." @default.
- W3132495830 created "2021-03-01" @default.
- W3132495830 creator A5060898247 @default.
- W3132495830 date "2021-02-21" @default.
- W3132495830 modified "2023-09-27" @default.
- W3132495830 title "Alternative derivation of the higher-order constitutive model for six-parameter elastic shells" @default.
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- W3132495830 doi "https://doi.org/10.1007/s00033-021-01475-0" @default.
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