Analysis of the Deformation of Cosserat Elastic Shells Using the Dislocation Density Tensor

DOI10.1007/978-981-10-3764-1_2zbMath1387.74074OpenAlexW2593290417MaRDI QIDQ4606499

Mircea Bîrsan, Patrizio Neff

Publication date: 8 March 2018

Published in: Advanced Structured Materials (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-10-3764-1_2

zbMATH Keywords

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Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Shells (74K25)

Related Items (5)

Asymptotic behavior for a generalized micropolar thermoelastic body ⋮ Chirality in the plane ⋮ Refined dimensional reduction for isotropic elastic Cosserat shells with initial curvature ⋮ Derivation of a refined six-parameter shell model: descent from the three-dimensional Cosserat elasticity using a method of classical shell theory ⋮ Alternative derivation of the higher-order constitutive model for six-parameter elastic shells

Cites Work

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• Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations
• The Cosserat couple modulus for continuous solids is zero viz the linearized Cauchy-stress tensor is symmetric
• A GEOMETRICALLY EXACT PLANAR COSSERAT SHELL-MODEL WITH MICROSTRUCTURE: EXISTENCE OF MINIMIZERS FOR ZERO COSSERAT COUPLE MODULUS

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