On Helmholtz's theorem and the completeness of the Papkovich-Neuber stress functions for infinite domains

DOI10.1007/BF00253346zbMath0105.18105MaRDI QIDQ775326

Morton E. Gurtin

Publication date: 1962

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

elasticity, plasticity

Related Items (14)

Otto Blumenthal (1876--1944) in retrospect ⋮ On the completeness of a method of potentials in elastodynamics ⋮ On the existence, uniqueness and completeness of displacements and stress functions in linear elasticity ⋮ Integration of differential equations in elastostatics through-determination of the mean stress ⋮ Elastodynamics and elastostatics by a unified method of potentials for \(x_{3}\)-convex domains ⋮ A complete solution of the wave equations for transversely isotropic media ⋮ ψ-Hyperholomorphic functions and a Kolosov-Muskhelishvili formula ⋮ Complete general solution for Lord-Shulman generalized thermoelastodynamics by using potential functions for transversely isotropic solids ⋮ 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 ⋮ Unnamed Item ⋮ On the potential of a solenoidal vector field ⋮ On the Beltrami-Michell compatibility condition and its relatives ⋮ The non-uniqueness of the atomistic stress tensor and its relationship to the generalized Beltrami representation

Cites Work

• Theorems in linear elastostatics for exterior domains
• Unnamed Item

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