Equilibrium of a Thick-Walled Sphere of Inhomogeneous Nonlinear-Elastic Material

Vladimir I. Andreev

doi:10.4028/www.scientific.net/AMM.423-426.1670

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 423-426Equilibrium of a Thick-Walled Sphere of...

Equilibrium of a Thick-Walled Sphere of Inhomogeneous Nonlinear-Elastic Material

Abstract:

Paper considers the problem of nonlinear theory of elasticity for inhomogeneous thick-walled sphere. The problem is solved in centrally symmetric statement. In general, all the parameters of the nonlinear dependence between the intensities of the stresses and strains are functions of the radius. As an example, solve the problem of stress distribution in the soil mass with a spherical cavity.

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Periodical:

Applied Mechanics and Materials (Volumes 423-426)

Pages:

1670-1674

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.423-426.1670

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Online since:

September 2013

Authors:

Vladimir I. Andreev*

Keywords:

Hollow Sphere, Inhomogeneity, Nonlinear Elastic Material, Theory of Elasticity

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References

[1] P.A. Lukash: Osnovy nelineynoy stroitelnoy mechaniki (Fundamentals of nonlinear structural mechanics). Stroyizdat, Moscow (1978).

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[2] V.I. Andreev: About the Unloading in Elastoplastic Inhomogeneous Bodies. Applied Mechanics and Materials. Vols. 353-356, 2013 pp.1267-1270.

DOI: 10.4028/www.scientific.net/amm.353-356.1267

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[3] V.I. Andreev: Elastic-plastic Equilibrium of a Hollow Cylinder from Inhomogeneous Perfectly Plastic Material. Applied Mechanics and Materials, 2013 (in print).

DOI: 10.4028/www.scientific.net/amm.405-408.3182

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