An eigenvalue problem for tensors used in mechanics and the number of independent Saint-Venant strain compatibility conditions

DOI10.3103/S0027133017030037zbMath1469.74012OpenAlexW2732639046MaRDI QIDQ1706033

M. U. Nikabadze

Publication date: 20 March 2018

Published in: Moscow University Mechanics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027133017030037

zbMATH Keywords

stress tensorstrain tensorincompatibility tensorcomplete orthonormal system of eigentensorseigentensorsymbol of anisotropysymbol of structure

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Anisotropy in solid mechanics (74E10) Saint-Venant's principle (74G50) Multilinear algebra, tensor calculus (15A69)

Related Items (3)

On the decomposition of equations of micropolar elasticity and thin body theory ⋮ Biharmonic Navier and Neumann problems and their application in mechanical engineering ⋮ On the problem of eigenvalues of material tensor objects and wave velocities

Cites Work

• Construction of eigentensor columns in the linear micropolar theory of elasticity
• Compatibility conditions and equations of motion in the linear micropolar theory of elasticity
• Topics on tensor calculus with applications to mechanics
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