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Effect of External Pressure on the Spherical Shell


Affiliations
1 Department of Mathematics Gobindgarh Public College, Khanna, Ludhiana, Punjab, India
 

To grow the prosperity of different spherical shell structures under pressure situations, the present research deals with the examination of elastic - plastic stresses in a spherical shell under the effect of external pressure. The plan of the research has been obtained by using the Seth's transition speculation of elastic- plastic transitions. The transition hypothesis does not accept established suspicions like incompressibility and yield conditions. The radial and circumferential stresses have been computed for the spherical shell for compressible and additionally incompressible materials. It has been watched that the spherical shell made of incompressible material requires high pressure to begin initial yielding in the shell when contrasted with spherical shell made of compressible material. The outcomes inferred are demonstrated graphically.

Keywords

Elastic-Plastic, Pressure, Spherical Shell, Stresses.
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  • Evkin, A., Prikazchikov, D. A., 2016, "Buckling of a spherical shell under external pressure and inward concentrated load: Asymptotic solution", Mathematics and Mechanics of Solid, pp. 1-13.

  • Cong, P. H., Duc, N. D., Anh, V. T., 2104, “Nonlinear axisymmetric response of FGM shallow spherical shells on elastic foundations under uniform external pressure and temperature”, European Journal of Mechanics - A/Solids, Volume 45, pp. 80-89.

  • Łukasiewicz, S.A., 1976, "Introduction of concentrated loads in plates and shells, Progress in Aerospace Sciences, Volume 17, Pages 109-146.

  • Viola, E., Rossetti, L., Tornabene, N. F., 2016, “Generalized stress–strain recovery formulation applied to functionally graded spherical shells and panels under static loading”,Composite Structures, Volume 156, 15, pp. 145-164.

  • Thakur, P., 2011, "Elastic-plastic transition stresses in rotating cylinder by finite deformation under steady- state temperature, Thermal Science International Scientific Journal", 15(2), pp.537-543.

  • Thakur, P., 2010, “Creep transition stresses in a thin rotating disc with shaft by finite deformation under steady state temperature”, Thermal Science, Vol. 14, No. 2, 2010, pp. 425-436..

  • Thakur, P., Singh, S.B., Sawhney S., 2016, "Elastic–Plastic Infinitesimal Deformation in a Solid Disk under Heat Effect by Using Seth Theory", Int. J. Appl. Computional Math, Springer, doi: 10.1007/s40819-015-0116-9.

  • Seth, B. R., 1962, “Transition theory of elastic- plastic deformation, creep and relaxation”, Nature, 195, pp. 896 -897, doi:10.1038/195896a..

  • Seth, B. R., 1966, “Measure concept in Mechanics”, International Journal of Non-linear Mechanics, Vol. 1, Issue 1, pp. 35- 40.

  • Sokolnikoff , I. S., 1946, “The Mathematical Theory of Elasticity”, MCGRAW Hill.

  • Thakur, P., Singh, S. B., 2015, "Elastic-plastic transitional stresses distribution and displacement for transversely isotropic circular disc with inclusion subject to mechanical load", Kragujevac Journal of Science 37, 25-36.

  • Thakur, P., Singh, S. B., 2016, “Steady thermal stresses in solid disk under heat generation subjected to variable density", Kragujevac J. Sci. 38, 2016, 5-14.

  • Thakur, P., Singh, S. B., 2015, "Mechanical Load in a circular rotating Disk With Shaft For Different Materials Under Steady-State Temperature", Scientific Technical Review, Military Technical Institute Ratka Resanovića, Belgrade, Serbia 65, 2015 36-42.

  • Verma, G., Rana, P., Pathania, D.S., and Thakur, P., 2017. “Creep transition in the rotating spherical shell under the effect of density variable by Seth’s transition theory”, AIP Conference proceeding,1802, 020020

  • Verma, G., Gupta, S., 2014, “Elastic-plastic Transition In Shells under internal pressure”, Int. J. of emerging technology and advanced engineering., Vol. 4, issue8, pp. 126-129.

  • Verma, G., Gupta, S., 2015, “Creep transition of spherical shell under internal pressure”, Theoretical and applied Science, 24, 201-207.

  • Verma, G., Pathania, D.S., and Thakur, P., 2017, "Elastic-plastic stress analysis in a Spherical shell under internal pressure and steady state temperature", Structural Integrity and Life, Serbia, Vol. 17(1), pp. 39-43.

  • Verma, G., Pathania, D.S., and Thakur, P., 2017, "Elastic-plastic transition on raotating spherical shells in dependence of compressibility", Kragujevac J. Sci. 39, 2017, 5-16.


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  • Effect of External Pressure on the Spherical Shell

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Authors

Gaurav Verma
Department of Mathematics Gobindgarh Public College, Khanna, Ludhiana, Punjab, India

Abstract


To grow the prosperity of different spherical shell structures under pressure situations, the present research deals with the examination of elastic - plastic stresses in a spherical shell under the effect of external pressure. The plan of the research has been obtained by using the Seth's transition speculation of elastic- plastic transitions. The transition hypothesis does not accept established suspicions like incompressibility and yield conditions. The radial and circumferential stresses have been computed for the spherical shell for compressible and additionally incompressible materials. It has been watched that the spherical shell made of incompressible material requires high pressure to begin initial yielding in the shell when contrasted with spherical shell made of compressible material. The outcomes inferred are demonstrated graphically.

Keywords


Elastic-Plastic, Pressure, Spherical Shell, Stresses.

References