Anisotropy of plane complex elastic bodies

DOI10.1016/J.IJSOLSTR.2010.01.002zbMath1193.74021OpenAlexW1986048843MaRDI QIDQ991682

G. Verchery, Paolo Vannucci

Publication date: 7 September 2010

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2010.01.002

zbMATH Keywords

anisotropypolar methodtensor invariantsspecial orthotropycomplex bodies

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Classical linear elasticity (74B05) Anisotropy in solid mechanics (74E10)

Related Items (10)

The Polar-Isogeometric Method for the Simultaneous Optimization of Shape and Material Properties of Anisotropic Shell Structures ⋮ Plane anisotropic rari-constant materials ⋮ The design of laminates as a global optimization problem ⋮ Wrinkling of orthotropic membranes: an analysis by the polar method ⋮ Existence of time-periodic solutions for a magnetoelastic system in bounded domains ⋮ Anisotropic structure of two-dimensional linear Cosserat elasticity ⋮ Invariant measures of the lack of symmetry with respect to the symmetry groups of 2D elasticity tensors ⋮ A unified approach to invariants of plane elasticity tensors ⋮ Anisotropy and shape optimal design of shells by the polar-isogeometric approach ⋮ An alternative to the Kelvin decomposition for plane anisotropic elasticity

Cites Work

• The polar analysis of a third-order piezoelectricity-like plane tensor
• Plane anisotropy by the polar method
• Symmetry classes for elasticity tensors
• A special planar orthotropic material
• Influence of invariant material parameters on the flexural optimal design of thin anisotropic laminates
• Mechanics of quasi-periodic alloys
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