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Effect of stresses in a disc with variable thickness with Poisson's ratio subjected to pressure by concept of seths theory

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Języki publikacji
EN
Abstrakty
EN
Elastic-plastic transitional stresses in an annular disc having variable thickness and variable Posson's ratio subjected to internal pressure is derived by using Seth's transition theory. It is seen that thickness and Posson's ratio variation influence significantly the stresses and pressure required for initial yielding. The thickness variation reduces the magnitude of the stresses and pressure needed for a fully plastic state. It seems that for a fully plastic state that circumferential stresses are maximum at the outer surface.
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Rocznik
Strony
1237--1252
Opis fizyczny
Bibliogr. 21 poz., wykr.
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autor
Bibliografia
  • Choudhuri P.K. (1979): Stresses in a non-homogeneous rotating annulus. - Bull. Cal. Math. Soc., vol.71, pp.103-108.
  • Durban D. (1987): An exact solution for the internally pressurized elastic-plastic strain hardening annular plate. - Acta. Mechnica, vol.66, No.111.
  • Gupta S.K. and Dharmani R.L. (1980): Creep transition in bending of rectangular plates. - Int. Jr. Non-Linear Mech., vol.15, pp.147-154.
  • Gupta S.K. and Pankaj T. (2007): Creep transition in a thin rotating disc with rigid inclusion. - Defence Sci. Journal, vol.57, No.2, pp.185-195.
  • Gupta S. and Pankaj K. (2007): Thermo elastic-plastic transition in a thin rotating disc with inclusion. - Thermal Science, vol.11, No.1, pp.103-118.
  • Güven U. (1992): Elastic-plastic annular disk with variable thickness subjected to external pressure. - Acta Mechanica 92, pp.29-34.
  • Güven U. (1995): On the applicability of Tresca's yield condition to the linear hardening rotating solid disk of variable thickness. - ZAMM, vol.75, pp.245-253.
  • Pankaj T. (2009): Elastic-plastic transition stresses in an isotropic disc having variable thickness subjected to internal pressure. - International Journal of Physical Science, African Journal, vol.4, No.5, pp.336-342.
  • Pankaj T. (2009): Elastic - plastic transition stresses in a transversely isotropic thick -walled cylinder subjected to internal pressure and steady state temperature. - Thermal Science International Scientific Journal, Published in vol.13, No.4, pp.107-118.
  • Pankaj T. (2009): Elastic - plastic transition in a thin rotating disc having variable density with inclusion. - Structural Integrity and Life, Serbia, vol.9, No.3, pp.171-179.
  • Pankaj T. (2010): Creep transition stresses in a thin rotating disc with shaft by finite deformation under steady state temperature. - Thermal Science International Scientific Journal, vol.14, No.2, pp.425-436.
  • Pankaj T. (2010): Elastic-plastic transition stresses in a thin rotating disc with rigid inclusion by infinitesimal deformation under steady state temperature. -Thermal Science International Scientific Journal, vol.14, No.1, pp.209-219.
  • Pankaj T. (2011): Creep transition stresses of a thick isotropic spherical shell under internal pressure and steady state of temperature. - Accepted for publication in Thermal Science International Scientific Journal.
  • Pankaj T. (2011): Elastic-plastic transition stresses in rotating cylinder by finite deformation under steady- state temperature. - Thermal Science International Scientific Journal.
  • Pankaj T., Gaurav Sharma (2009): Creep transition stresses in thick walled rotating cylinder by finitesimal deformation dunder steady state temperature - International Journal of Mechanics and Solids, India, vol.4, No.1, pp.39-44.
  • Pooja K. Ph.D. Thesis (2006): Department of Mathematics. - H.P.U. Shimla, H.P., India.
  • Seth B.R. (1966): Measure concept in mechanics. - Int. Jr. Non-Linear Mech., I, pp.35-40.
  • Seth B.R. (1970): Transition condition, the yielding conditions. - Int. Jr. Non-Linear Mech., vol.15, pp.279-285.
  • Seth B.R. (1970): Transition analysis of collapse of thick-walled cylinders. - ZAMM, vol.50, pp.617-621.
  • Sokolnikoff I.S. (1950): Mathematical theory of elasticity. - Mc Graw-Hill Pub. Company, New York, pp.29-31, 56-58.
  • Tutuncu N. (1995): Effect of anisotropy on stresses in rotating discs. - Int. J. Mech. Sci., vol.37, No.8, pp.873-881.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ5-0028-0010
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