Cosserat elasticity of lattice solids

DOI10.1007/s10659-021-09859-zzbMath1501.74007OpenAlexW3210140902MaRDI QIDQ2085524

Milad Shirani, David J. Steigmann

Publication date: 18 October 2022

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-021-09859-z

zbMATH Keywords

metamaterialKirchhoff rodinternal connectivityfiber rotations fieldfiber-reinforced solidkinematic descriptor

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Composite and mixture properties (74E30) Random materials and composite materials (74A40)

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Convexity and quasiconvexity in a Cosserat model for fiber-reinforced elastic solids

Cites Work

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• On natural strain measures of the non linear micropolar continuum
• A further note on finite-strain force and moment stress elasticity
• The variational structure of a nonlinear theory for spatial lattices
• Variational principles of continuum mechanics. I: Fundamentals
• Minimization in nonlinear elasticity theory for bodies reinforced with inextensible cords
• Kirchhoff's theory of rods
• Minimization in incompressible nonlinear elasticity theory
• Continuum theory for mechanical metamaterials with a cubic lattice substructure
• Integrability conditions between the first and second Cosserat deformation tensor in geometrically nonlinear micropolar models and existence of minimizers
• Existence of minimizers for a finite-strain micromorphic elastic solid
• Note on the Equations of Finite-Strain Force and Moment Stress Elasticity
• Vacancies for controlling the behavior of microstructured three-dimensional mechanical metamaterials
• Nonlinear problems of elasticity