Comparison of plane-stress, generalized-plane-strain and 3D FEM elastic–plastic analyses of thick-walled cylinders subjected to radial thermal gradient

Kamal, Seikh Mustafa; Dixit, Uday S.; Roy, Anish; Liu, Qian

doi:10.1016/j.ijmecsci.2017.07.034

Cited by 25 publications

(5 citation statements)

References 22 publications

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“…All the simulations were conducted in 2D geometry, justified by the actual slit lengths of 20 μm to 2 cm of real samples [ 24 , 25 ]. For the structural mechanic’s simulation, assuming a real dimension of the substrate as 1 mm by 1 mm, we exploited generalized plane strain condition which is suitable for geometries of no external out-of-plane stress [ 31 ]. The curvature of a bent substrate at the center was obtained by fitting the substrate middle line within the ±0.5 mm range to a quadratic.…”

Section: Methodsmentioning

confidence: 99%

Angstrom-Scale Active Width Control of Nano Slits for Variable Plasmonic Cavity

Lee

Yun

et al. 2021

Nanomaterials

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Nanogap slits can operate as a plasmonic Fabry–Perot cavity in the visible and infrared ranges due to the gap plasmon with an increased wavenumber. Although the properties of gap plasmon are highly dependent on the gap width, active width tuning of the plasmonic cavity over the wafer length scale was barely realized. Recently, the fabrication of nanogap slits on a flexible substrate was demonstrated to show that the width can be adjusted by bending the flexible substrate. In this work, by conducting finite element method (FEM) simulation, we investigated the structural deformation of nanogap slit arrays on an outer bent polydimethylsiloxane (PDMS) substrate and the change of the optical properties. We found that the tensile deformation is concentrated in the vicinity of the gap bottom to widen the gap width proportionally to the substrate curvature. The width widening leads to resonance blueshift and field enhancement decrease. Displacement ratio ((width change)/(supporting stage translation)), which was identified to be proportional to the substrate thickness and slit period, is on the order of 10−5 enabling angstrom-scale width control. This low displacement ratio comparable to a mechanically controllable break junction highlights the great potential of nanogap slit structures on a flexible substrate, particularly in quantum plasmonics.

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Section: Methodsmentioning

confidence: 99%

Angstrom-Scale Active Width Control of Nano Slits for Variable Plasmonic Cavity

Lee

Yun

et al. 2021

Nanomaterials

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“…A semi-analytic solution for the stresses and strains within a rotating elastic/plastic polar orthotropic annular disk was found under plane stress. The range of validity of plane stress solutions was determined in [33] by comparing such solutions with 3-D finite element solutions. The distribution of residual stresses and strains was determined as well.…”

Section: Discussionmentioning

confidence: 99%

“…Therefore, the integrals involved in Equation (33) can be evaluated numerically. The total radial and axial strains in the plastic zone are found by means of Equation (6) where the plastic parts are given by Equation (33) and the elastic parts by Equation (21).…”

Section: Elastic/plastic Strain Solutionmentioning

confidence: 99%

Effect of Plastic Anisotropy on the Distribution of Residual Stresses and Strains in Rotating Annular Disks

2018

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Hill’s quadratic orthotropic yield criterion is used for revealing the effect of plastic anisotropy on the distribution of stresses and strains within rotating annular polar orthotropic disks of constant thickness under plane stress. The associated flow rule is adopted for connecting the stresses and strain rates. Assuming that unloading is purely elastic, the distribution of residual stresses and strains is determined as well. The solution for strain rates reduces to one nonlinear ordinary differential equation and two linear ordinary differential equations, even though the boundary value problem involves two independent variables. The aforementioned differential equations can be solved one by one. This significantly simplifies the numerical treatment of the general boundary value problem and increases the accuracy of its solution. In particular, comparison with a finite difference solution is made. It is shown that the finite difference solution is not accurate enough for some applications.

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“…Wang et al proposed a method for determining the shrink-fitting ratio for the two-layer compound forging mold in the backward extrusion according to the FE simulation results [ 18 ]. Kamal et al researched the effect of the radial thermal gradient on the stress distribution of multilayer, thick-walled cylinders [ 19 ]. In addition, several researchers investigated the influence of the shrink fitting on the performance of the forging mold.…”

Section: Introductionmentioning

confidence: 99%

Precise Shrink Fitting Design of the High Strength Gear Mold for the Precision Forging of Noncircular Spur Bevel Gears

et al. 2023

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Shrink fitting of forging mold (SFFM) is an effective method for improving mold strength, extending the mold’s service life and reducing the manufacturing cost of forging mold. However, due to the asymmetric geometry and complex stress distribution, the precise design of SFFM for the precision forging of noncircular bevel gears is very difficult. In this paper, a new precise design method of SFFM for the precision forging of noncircular bevel gears is proposed, which mainly includes the following five parts. First, a new design method for the mold parting surface—the curved surface parting method—is proposed to design the forging mold of noncircular spur bevel gears. Then, new dimension design methods for the gear mold and shrink rings based on the uniform shrinkage force are proposed. Third, a new design method for the inhomogeneous interference value between shrink rings and the gear mold is developed to provide a precise, uniform shrinkage force. After that, a strength correction method for the shrink-fitted gear mold is proposed to ensure the gear mold and shrink rings have sufficient strength both in the assembly process of the shrink-fitted gear mold and precision in the forging process of noncircular spur bevel gears. Ultimately, finite element simulations and verification experiments are performed to verify the proposed precise design method of SFFM for the precision forging of noncircular bevel gears. The precise design method of SFFM proposed in this paper is not only applicable to the precise design of the high-strength gear mold for noncircular bevel gears, but can also provide a valid reference for the precise design of the high-strength mold for other complicated asymmetric parts.

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Comparison of plane-stress, generalized-plane-strain and 3D FEM elastic–plastic analyses of thick-walled cylinders subjected to radial thermal gradient

Cited by 25 publications

References 22 publications

Angstrom-Scale Active Width Control of Nano Slits for Variable Plasmonic Cavity

Angstrom-Scale Active Width Control of Nano Slits for Variable Plasmonic Cavity

Effect of Plastic Anisotropy on the Distribution of Residual Stresses and Strains in Rotating Annular Disks

Precise Shrink Fitting Design of the High Strength Gear Mold for the Precision Forging of Noncircular Spur Bevel Gears

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