Equivalence of formulations for problems in elasticity theory in terms of stresses

DOI10.1134/S1061920806020063zbMath1110.74014OpenAlexW2079203486MaRDI QIDQ871768

B. E. Pobedrya, D. V. Georgievskii

Publication date: 26 March 2007

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920806020063

zbMATH Keywords

Beltrami-Michell compatibility equationsincompatibility tensorRiemann-Christoffel tensor

Mathematics Subject Classification ID

Classical linear elasticity (74B05)

Related Items (4)

Levi-Civita symbols, generalized vector products, and new integrable cases in mechanics of multidimensional bodies ⋮ Generalized compatibility equations for tensors of high ranks in multidimensional continuum mechanics ⋮ General solutions of weakened equations in terms of stresses in the theory of elasticity ⋮ Equivalence between the classical formulation of an elasticity theory problem and its possible formulation in terms of stresses

Cites Work

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• Some properties of the boundary value problem of linear elasticity in terms of stresses
• On dual conservation laws in linear elasticity: stress function formalism
• The number of independent compatibility equations in the mechanics of deformable solids
• Conservation laws of linear elasticity in stress formulations

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