Operator matrix and non-uniqueness of Beltrami-Schaefer stress functions

DOI10.1007/s00707-013-1008-xzbMath1402.74016OpenAlexW1996890773MaRDI QIDQ2016588

Jonny Rutqvist, Yuan Wang

Publication date: 20 June 2014

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-013-1008-x

zbMATH Keywords

representationequilibrium equationsHelmholtz decomposition

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Vector and tensor algebra, theory of invariants (15A72) Classical linear elasticity (74B05) Multiplicity of solutions of equilibrium problems in solid mechanics (74G35)

Cites Work

• Non-uniqueness of Beltrami-Schaefer stress functions
• Projections under seminorms and generalized Moore Penrose inverses
• A generalization of the Beltrami stress functions in continuum mechanics
• Recent General Solutions in Linear Elasticity and Their Applications
• Die Spannungsfunktionen des dreidimensionalen Kontinuums und des elastischen Körpers

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