On the completeness of solutions of Boussinesq, Timple, Love, and Michell in axisymmetric elasticity

DOI10.1007/BF00041697zbMath0627.73017OpenAlexW2012498093MaRDI QIDQ1092701

B. George

Publication date: 1988

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00041697

zbMATH Keywords

axisymmetric form of Papkovich-Neuber solutioncompleteness of Love's solutionconcept of conjugate harmonic axisymmetric functions

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Elastic materials (74B99)

Related Items (4)

Thick plate theory based on general solutions of elasticity ⋮ Decomposition methods for coupled 3D equations of applied mathematics and continuum mechanics: partial survey, classification, new results, and generalizations ⋮ On the completeness and uniqueness of the Papkovich-Neuber and the non- axisymmetric Boussinesq, Love, and Burgatti solutions in general cylindrical coordinates ⋮ A generalization of Almansi's theorem and its application

Cites Work

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• A note on the solutions of Boussinesq, Love, and Marguerre in axisymmetric elasticity
• Verschiebungsfunktionen für elastische Schwingungsprobleme
• On the Stress-Function Approaches of Boussinesq and Timpe to the Axisymmetric Problem of Elasticity Theory

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