Revisiting displacement functions in three-dimensional elasticity of inhomogeneous media

DOI10.1016/j.ijsolstr.2009.06.001zbMath1167.74361OpenAlexW2090258860MaRDI QIDQ837890

N. E. Zubov

Publication date: 21 August 2009

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2009.06.001

zbMATH Keywords

linear elasticityelasticityanalytical solutionstransversely isotropic materialfunctionally graded materialsthree-dimensional elasticity solution

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Inhomogeneity in solid mechanics (74E05) Explicit solutions of equilibrium problems in solid mechanics (74G05)

Related Items (10)

General Hoyle-Youngdahl and Love solutions in the linear inhomogeneous theory of elasticity ⋮ Love solutions in the linear inhomogeneous transversely isotropic theory of elasticity ⋮ General Love solution in the linear isotropic inhomogeneous theory of radius-dependent elasticity ⋮ General Love solution in the linear inhomogeneous transversely isotropic theory of radius-dependent elasticity ⋮ Three-dimensional elasticity solution for bending of transversely isotropic functionally graded plates ⋮ Fundamental solutions in 3D elastodynamics for the BEM: a review ⋮ Numerical modeling of functionally graded materials using a variational formulation ⋮ Asymmetric Green's functions for a functionally graded transversely isotropic tri-material ⋮ Representing the solutions of the equilibrium equations for functionally inhomogeneous transversely isotropic plates ⋮ Displacement potentials for functionally graded piezoelectric solids

Cites Work

• On Boussinesq's problem
• General solutions for coupled equations for piezoelectric media
• Three-dimensional exact analysis of a simply supported functionally gradient piezoelectric plate.
• Three-dimensional elasticity solution for bending of functionally graded rectangular plates
• Three-dimensional elastic deformation of a functionally graded coating/substrate system
• A higher-order theory and refined three-node triangular element for functionally graded plates
• On the completeness of a set of stress functions appropriate to the solution of elasticity problems in general cylindrical coordinates
• On the theory of elasticity of inhomogeneous media
• Three-dimensional analysis of a functionally graded coating/substrate system of finite thickness
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