Effect of density parameter in a disk made of orthotropic material and rubber

Thakur, Pankaj; Gupta, N.; Sethi, Monika; Gupta, Kanav

doi:10.1007/s42464-020-00049-5

Cited by 11 publications

(2 citation statements)

References 11 publications

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“…respectively, while being subjected to internal pressure p int. , it is noteworthy to mention that the density of the rotating cylinder varies across its radius, as discussed by Temesgen et al [13] and Thakur et al [14][15][16]:…”

Section: Basics Equations and Solutionsmentioning

confidence: 92%

Exploring the effective stress behavior of internally pressurized cylinders with varying density

Singh,

Gulial,

Thakur

2024

Z Angew Math Mech

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This research article presents a comprehensive examination of effective stress behavior in internally pressurized cylinders with varying density, utilizing Norton's law as the analytical framework. Our thorough numerical computations encompass a wide array of steels and steel alloys commonly employed in cylinder fabrication, covering five distinct types of anisotropy. The investigation meticulously analyzes the profound impact of anisotropy and the exponent “n” within the creep law. A key insight emerges as the effective stress values for anisotropic materials, particularly in Type‐I and Type‐II, showcase a notable reduction compared to their isotropic counterparts in Type‐III. Moreover, we highlight the active role played by an increasing density parameter in elevating the values of radial, circumferential, axial stress, and effective stress within the rotating cylinder composed of anisotropic materials.

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Section: Basics Equations and Solutionsmentioning

confidence: 92%

Exploring the effective stress behavior of internally pressurized cylinders with varying density

Singh,

Gulial,

Thakur

2024

Z Angew Math Mech

View full text Add to dashboard Cite

show abstract

“…As elastic state can go to plastic state under external loading through a transition state; thus, it has been shown [14,18,19,[22][23][24][25][26][27][28][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:…”

Section: Solutions Of the Problemmentioning

confidence: 99%

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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Stress analysis in an isotropic hyperbolic rotating disk fitted with rigid shaft

Thakur

Sethi

Kumar

et al. 2021

Z. Angew. Math. Phys.

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Effect of density parameter in a disk made of orthotropic material and rubber

Cited by 11 publications

References 11 publications

Exploring the effective stress behavior of internally pressurized cylinders with varying density

Exploring the effective stress behavior of internally pressurized cylinders with varying density

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

Stress analysis in an isotropic hyperbolic rotating disk fitted with rigid shaft

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