Compatibility equations and stress functions in elasticity theory

DOI10.3103/S0025654422040136OpenAlexW4285797387MaRDI QIDQ2695818

P. A. Belov, Sergey Lurie

Publication date: 5 April 2023

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

Full work available at URL: https://doi.org/10.3103/s0025654422040136

zbMATH Keywords

elasticity theorystress functionsLagrange's method of indefinite multipliersPapkovich's compatibility equationsprinciple of possible displacementsSaint-Venant's compatibility equations

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Cites Work

• On the compatibility equations in terms of stresses in many-dimensional elastic medium
• A generalization of the Beltrami stress functions in continuum mechanics
• A converse to the virtual work theorem for deformable solids
• The number of independent compatibility equations in the mechanics of deformable solids
• Die Spannungsfunktionen des dreidimensionalen Kontinuums und des elastischen Körpers
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