Elastic-plastic analysis of transversely isotropic spherical shell under internal pressure

Verma, Gaurav; Thakur, Pankaj; Rana, Puneet

doi:10.1063/1.5086653

Cited by 3 publications

(3 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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%

“…Again Abo-Dahab et al [13] studied fiber-reinforced with effect of rotation, initial stress, heat flux, and gravity field of Rayleigh waves in electro-magneto-elastic homogeneous orthotropic material half-space. Verma et al [14] have investigated the stress distribution in a transversely isotropic spherical shell under internal pressure by using transition theory. Khalil et al [15] have investigated volume fraction, electromagnetic field, photo thermal, and initial stress impact on homogeneous isotropic semiconducting generalized thermo elasticity solid.…”

Section: Materials Usedmentioning

confidence: 99%

“…Verma et al. [14] have investigated the stress distribution in a transversely isotropic spherical shell under internal pressure by using transition theory. Khalil et al.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

et al. 2021

Self Cite

View full text Add to dashboard Cite

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.

show abstract