Elastoplastic Deformation in an Orthotropic Spherical Shell Subjected to a Temperature Gradient

Thakur, Pankaj; Sethi, Monika

doi:10.1177/1081286519857128

Cited by 14 publications

(2 citation statements)

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“…Bayones et al [17] presented a new model at a volume fraction, photo thermal, initial stress, electromagnetic field, gravity, and rotation effect on an isotropic homogeneous semiconducting generalized thermo elasticity solid. Thakur and Sethi [18] studied the thermal stress distribution in an orthotropic spherical shell subjected to a temperature gradient by using Seth's transition theory. In this research article, we discuss the structural behavior of the hemispherical shell made of transversely isotropic materials with the influence of pressure and thermo-mechanical loads by using transition theory and generalized strain measure.…”

Section: Materials Usedmentioning

confidence: 99%

“…As elastic state can go to plastic state under external loading through a transition state; thus, it has been shown [14, 18, 19, 22–29] that the asymptotic solution through principal stress leads from elastic state to plastic state at transition point P → ± ∞ . To determine the plastic stresses at the transition point P → ± ∞, we define the transition function Γ in terms of τ rr as:

Γ = 3 - 2 α_{3} - (\frac{2}{c_{33}}) (τ_{r r} + β_{1} Θ) = η^{2} [{((), P + 1)}^{2} + 1 (1 - α_{3})],

where Γ is a transition function of r and α 3 = 1‒( c 13 / c 33 ).…”

Section: Solutions Of the Problemmentioning

confidence: 99%

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Thermal stress analysis in a hemispherical shell made of transversely isotropic materials under pressure and thermo‐mechanical loads

et al. 2021

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This article deals with the study of thermal stress in a hemispherical shell made of transversely isotropic material under the effect of thermal, pressure and mechanical load. Seth's transition theory and generalized strain measure are used for finding the governing equation. Mathematical modelling is based on stress–strain relation and equilibrium equation. Analytical solutions are presented for the hemispherical shell made of transversely isotropic material and isotropic material. The effects of different pertinent parameters (i.e., temperature, pressure and load) are considered for the spherical shell made of transversely isotropic material. The behaviour of stress distribution, mechanical load, pressure rise, and temperature distribution are investigated. From the obtained results, it is noticed that carbon fiber material hemispherical shell requires higher pressure at the internal surface in comparison to magnesium/polypropylene material. With the introduction of mechanical load, the value of pressure decreases at the internal surface, but reverse results are obtained in the case of thermal condition for the hemispherical shell made of carbon fiber/magnesium/polypropylene material. By applying thermal condition, the hemispherical shell made of carbon fiber material requires maximum hoop stress at the external surface as compared to the magnesium/polypropylene material. The transversely isotropic material hemispherical shell more convenient than that of isotropic material hemispherical shell. Results have been discussed numerically and graphically.

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Section: Materials Usedmentioning

confidence: 99%