A three-dimensional Airy stress function

DOI10.2140/memocs.2023.11.429zbMath1529.74007OpenAlexW4388725049MaRDI QIDQ6082664

Mawafag F. Alhasadi, Salvatore Federico, Marcelo Epstein, Shoji Imatani

Publication date: 30 November 2023

Published in: Mathematics and Mechanics of Complex Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/memocs.2023.11.429

zbMATH Keywords

linear elasticityAiry-Beltrami tensor potentialBeltrami stress functionMaxwell stress functionMorera stress functionsmall-displacement kinematics

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Classical linear elasticity (74B05)

Cites Work

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• Two-phase deformations of elastic solids
• Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
• The completeness of Maxwell's stress function representation
• On the shape of the Eshelby inclusions
• A note about an exchange of opinions between Beltrami and Morera on elastic equilibrium equations
• Relation between Eshelby stress and Eshelby fourth-order tensor within an ellipsoidal inclusion
• The Truesdell rate in continuum mechanics
• On the application of Mori-Tanaka's theory involving transversely isotropic spheroidal inclusions
• Representation of divergence-free vector fields
• Effects of Geometric Imperfections on Vibrations of Biaxially Compressed Rectangular Flat Plates
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• The linear elasticity tensor of incompressible materials
• Elastic Behavior of Composite Materials: Theoretical Foundations
• Fourth-rank tensors of the thirty-two crystal classes: multiplication tables
• On the Elliptic Inclusion in Anti-Plane Shear
• The Geometrical Language of Continuum Mechanics
• Stability of a spinning body containing elastic parts via Liapunov'sdirect method
• Die Spannungsfunktionen des dreidimensionalen Kontinuums und des elastischen Körpers