Exact solutions and material tailoring for functionally graded hollow circular cylinders

DOI10.1007/s10659-009-9239-8zbMath1304.74017OpenAlexW2158507981MaRDI QIDQ982241

J. Martínez

Publication date: 6 July 2010

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

Full work available at URL: https://doi.org/10.1007/s10659-009-9239-8

zbMATH Keywords

optimal designfunctionally graded cylindersairy stress functionmaterial tailoringPoisson's ratio variations

Mathematics Subject Classification ID

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

Related Items (11)

Torsional deformations and material tailoring of orthotropic bi-directional FGM hollow truncated conical cylinders with curved lateral surfaces ⋮ Analysis of functionally graded thick truncated cone with finite length under hydrostatic internal pressure ⋮ Free vibration of three-layer circular cylindrical shells with functionally graded middle layer ⋮ General plane elasticity solution for non-homogeneous materials ⋮ Optimum Young's modulus of a homogeneous cylinder energetically equivalent to a functionally graded cylinder ⋮ Analytical solution for radial deformations of functionally graded isotropic and incompressible second-order elastic hollow spheres ⋮ Material tailoring in finite torsional deformations of axially graded Mooney–Rivlin circular cylinder ⋮ Elastic solution of a two-dimensional functionally graded thick truncated cone with finite length under hydrostatic combined loads ⋮ A generalization and application of the Michell solution for functionally graded circular planes ⋮ Material tailoring and universal relations for axisymmetric deformations of functionally graded rubberlike cylinders and spheres ⋮ Solution to two-dimensional elastic problems involving functionally graded material in radial co-ordinates

Cites Work

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• General Solution for Mechanical and Thermal Stresses in a Functionally Graded Hollow Cylinder due to Nonaxisymmetric Steady-State Loads
• Finite plane strain deformations of rubberlike materials
• Exact solutions for functionally graded anisotropic cylinders subjected to thermal and mechanical loads

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