On the existence, uniqueness and completeness of displacements and stress functions in linear elasticity

DOI10.1007/BF00041692zbMath0677.73006MaRDI QIDQ1123671

Udo Zastrow, Klaus Hackl

Publication date: 1988

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

zbMATH Keywords

isomorphicquotient spacefirst de Rham cohomology spacemultiply-connected bodiesrepresentability of strain tensorssecond de Rham cohomology space

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Linear elasticity with initial stresses (74B10) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Related Items (6)

Hilbert complexes of nonlinear elasticity ⋮ Differential complexes in continuum mechanics ⋮ Poincaré path integrals for elasticity ⋮ Stress functions for continua with couple stresses ⋮ On the completeness and uniqueness of the Papkovich-Neuber and the non- axisymmetric Boussinesq, Love, and Burgatti solutions in general cylindrical coordinates ⋮ On the representation of three-dimensional elasticity solutions with the aid of complex valued functions

Cites Work

• Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
• Invariant and complete stress functions for general continua
• On Helmholtz's theorem and the completeness of the Papkovich-Neuber stress functions for infinite domains
• A note on stress functions
• A generalization of the Beltrami stress functions in continuum mechanics
• On the Beltrami-Michell compatibility condition and its relatives
• On stress functions in classical elasticity
• Die Spannungsfunktionen des dreidimensionalen Kontinuums und des elastischen Körpers
• Ansätze zur Lösung der Grundgleichungen der Elastizitätstheorie
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