On strong ellipticity and infinitesimal stability in third-order nonlinear strain gradient elasticity

DOI10.3103/S002565442208012XMaRDI QIDQ2695899

Victor A. Eremeyev

Publication date: 5 April 2023

Published in: Mechanics of Solids (Search for Journal in Brave)

zbMATH Keywords

strong ellipticitystrain gradient elasticity theoryinfinitesimal stability

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Cites Work

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• Elastic materials with couple-stresses
• Finite third-order gradient elasticity and thermoelasticity
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• Theories of elasticity with couple-stress
• On first strain-gradient theories in linear elasticity
• Micro-structure in linear elasticity
• Applications of Tensor Analysis in Continuum Mechanics
• Elasticity and Plasticity of Large Deformations
• Local material symmetry group for first- and second-order strain gradient fluids
• Higher-gradient continua: The legacy of Piola, Mindlin, Sedov and Toupin and some future research perspectives

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