2016
DOI: 10.1590/1679-78252386
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Abstract: In this paper closed form analytical solution for stress components of thick spherical shell made of transversely isotropic functionally graded hyperelastic material subjected to internal and external pressure is presented. Reinforced neo-Hookean strain energy function with variable material parameters is used to model pressure vessel material. The material constants of strain energy function are graded along the radial direction based on a power law function and have been calculated from experimental data by … Show more

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Cited by 10 publications
(8 citation statements)
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“…The family of deformation fields considered here are defined by an incompressible thick spherical shell model 33 , where R 0 is the radius of the uninflated tumour and r 0 is the radius of the tumour after inflation. In other words, r 0 represents the real size of the tumour, whereas R 0 represents the theoretical size of the tumour if all fluid and solid pressure were removed.…”
Section: Stiffness Reconstruction Various Approaches To Elastographymentioning
confidence: 99%
See 1 more Smart Citation
“…The family of deformation fields considered here are defined by an incompressible thick spherical shell model 33 , where R 0 is the radius of the uninflated tumour and r 0 is the radius of the tumour after inflation. In other words, r 0 represents the real size of the tumour, whereas R 0 represents the theoretical size of the tumour if all fluid and solid pressure were removed.…”
Section: Stiffness Reconstruction Various Approaches To Elastographymentioning
confidence: 99%
“…Pressure calculation. From α we use an analytic model of an inflating sphere to calculate the pressure.Equilibrium equations, and assuming a neo-Hookean material law, give the following for determining the radial stress33 …”
mentioning
confidence: 99%
“…For instance, automobile tires, vibration-isolation devices, load-bearing pads, bridge bearings, vehicle door seals, adhesive joints, and engine mounts are some applications of this class of material. [1][2][3][4] Researchers have introduced several constitutive models, based on many assumptions including numerous phenomenological and micro-mechanically motivated approach, in order to determine the mechanical behavior of hyperelastic materials. Modeling the mechanical behavior under different loading conditions based on nonlinear elasticity theory, has been the subject of many investigations.…”
Section: Introductionmentioning
confidence: 99%
“…For instance, automobile tires, vibration-isolation devices, load-bearing pads, bridge bearings, vehicle door seals, adhesive joints, and engine mounts are some applications of this class of material. 1–4…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation