Elastodynamics and elastostatics by a unified method of potentials for \(x_{3}\)-convex domains

DOI10.1007/s10659-008-9156-2zbMath1143.74014OpenAlexW2024897269MaRDI QIDQ944933

Morteza Eskandari-Ghadi, Ronald Y. S. Pak

Publication date: 10 September 2008

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

Full work available at URL: https://doi.org/10.1007/s10659-008-9156-2

zbMATH Keywords

displacement potentialsBoggio's theoremrepeated wave equations

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Linear waves in solid mechanics (74J05)

Related Items (4)

An adaptive cellular automata approach with the use of radial basis functions for the simulation of elastic wave propagation ⋮ Transient interior analytical solutions of Lamb’s problem ⋮ Lamb’s problem: a brief history ⋮ Complete general solution for Lord-Shulman generalized thermoelastodynamics by using potential functions for transversely isotropic solids

Cites Work

• Invariant and complete stress functions for general continua
• On the integration of the equations of motion in the classical theory of elasticity
• On Helmholtz's theorem and the completeness of the Papkovich-Neuber stress functions for infinite domains
• On the completeness and uniqueness of the Papkovich-Neuber and the non- axisymmetric Boussinesq, Love, and Burgatti solutions in general cylindrical coordinates
• A complete solution of the wave equations for transversely isotropic media
• On stress functions for elastokinetics and the integration of the repeated wave equation
• On the completeness of a method of potentials in elastodynamics
• Completeness of the Papkovich potentials
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