Material tailoring and universal relations for axisymmetric deformations of functionally graded rubberlike cylinders and spheres

DOI10.1177/1081286510387404zbMath1269.74020OpenAlexW2313083047MaRDI QIDQ2842433

Romesh C. Batra

Publication date: 14 August 2013

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286510387404

zbMATH Keywords

universal relationsmaterial tailoringfunctionally graded cylinders and spheres

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Inhomogeneity in solid mechanics (74E05)

Related Items (7)

Torsional deformations and material tailoring of orthotropic bi-directional FGM hollow truncated conical cylinders with curved lateral surfaces ⋮ Material tailoring and moduli homogenization for finite twisting deformations of functionally graded Mooney-Rivlin hollow cylinders ⋮ 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 ⋮ An intrinsic material tailoring approach for functionally graded axisymmetric hollow bodies under plane elasticity ⋮ A generalization and application of the Michell solution for functionally graded circular planes ⋮ Solution to two-dimensional elastic problems involving functionally graded material in radial co-ordinates

Cites Work

• Influence of the spatial variation of Poisson's ratio upon the elastic field in nonhomogeneous axisymmetric bodies
• Torsion of cylindrically orthotropic elastic circular bars with radial inhomogeneity: some exact solutions and end effects
• A pressurized functionally graded hollow cylinder with arbitrarily varying material properties
• Exact solutions and material tailoring for functionally graded hollow circular cylinders
• Homogenization of a pressurized tube made of elastoplastic materials with discontinuous properties
• The effect of nonlinearity on a principle of Saint-Venant type
• On Saint-Venant's principle in three-dimensional nonlinear elasticity
• The design of orthotropic materials for stress optimization
• Analysis of the thermal stress behaviour of functionally graded hollow circular cylinders.
• Green's function approach to unsteady thermal stresses in an infinite hollow cylinder of functionally graded material
• The pressurized hollow cylinder or disk problem for functionally graded isotropic linearly elastic materials
• Effects of radially varying moduli on stress distribution of nonhomogeneous anisotropic cylindrical bodies
• The principle of Saint-Venant in linear and non-linear plane elasticity
• General Solution for Mechanical and Thermal Stresses in a Functionally Graded Hollow Cylinder due to Nonaxisymmetric Steady-State Loads
• Recent Developments Concerning Saint-Venant's Principle
• Finite plane strain deformations of rubberlike materials
• Exact solutions for functionally graded anisotropic cylinders subjected to thermal and mechanical loads

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