The elastic sphere under nonsymmetric loading

DOI10.1007/BF00040931zbMath0711.73033OpenAlexW2066021852MaRDI QIDQ922774

H. B. McClung

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf00040931

zbMATH Keywords

static equilibriumarbitrary body forcedisplacement equationsreduction to set of three ordinary differential equations of Cauchy-Euler typesurface displacementthree vector spherical harmonicstime independent Navier equation

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Linear elasticity with initial stresses (74B10)

Related Items (6)

Elastic theory for the deformation of a solid or layered spheroid under axisymmetric loading ⋮ A spectral theory formulation for elastostatics by means of tensor spherical harmonics ⋮ Stress-strain field around elliptic cavities in elastic continuum ⋮ Mathematical Modeling of Powder-Snow Avalanche Flows ⋮ Asymmetric vibrations of an elastic sphere ⋮ The whiplash problem: An application of vector spherical harmonics

Cites Work

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• Invariant and complete stress functions for general continua
• On the first boundary-value problem of linear elastostatics
• Theorems in linear elastostatics for exterior domains
• Axisymmetric wave propagation in a solid viscoelastic sphere
• On the forced motion of elastic solids
• On the Stress-Function Approaches of Boussinesq and Timpe to the Axisymmetric Problem of Elasticity Theory
• The Theory of Vector Spherical Harmonics

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