Non-linear Finite Element Analysis of Nanotubes

Awang, Mokhtar; Mohammadpour, Ehsan; Muhammad, Ibrahim Dauda

doi:10.1007/978-3-319-03197-2_6

Cited by 2 publications

(3 citation statements)

References 3 publications

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“…The simulation of compression test of biodegradable polymeric stents was performed by a static structural analysis, which determined the displacements, stresses, strains, and forces in the stent structure caused by loads, under the assumption that the inertia and damping effects are ignored [14]. Additionally, the loads and the structure’s response are assumed to vary slowly with respect to time.…”

Section: Methodsmentioning

confidence: 99%

Fabrication and Optimal Design of Biodegradable Polymeric Stents for Aneurysms Treatments

Han

Kelly

et al. 2017

JFB

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An aneurysm is a balloon-like bulge in the wall of blood vessels, occurring in major arteries of the heart and brain. Biodegradable polymeric stent-assisted coiling is expected to be the ideal treatment of wide-neck complex aneurysms. This paper presents the development of methods to fabricate and optimally design biodegradable polymeric stents for aneurysms treatment. Firstly, a dispensing-based rapid prototyping (DBRP) system was developed to fabricate coil and zigzag structures of biodegradable polymeric stents. Then, compression testing was carried out to characterize the radial deformation of the stents fabricated with the coil or zigzag structure. The results illustrated the stent with a zigzag structure has a stronger radial stiffness than the one with a coil structure. On this basis, the stent with a zigzag structure was chosen for the development of a finite element model for simulating the real compression tests. The result showed the finite element model of biodegradable polymeric stents is acceptable within a range of radial deformation around 20%. Furthermore, the optimization of the zigzag structure was performed with ANSYS DesignXplorer, and the results indicated that the total deformation could be decreased by 35.7% by optimizing the structure parameters, which would represent a significant advance of the radial stiffness of biodegradable polymeric stents.

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Section: Methodsmentioning

confidence: 99%

Fabrication and Optimal Design of Biodegradable Polymeric Stents for Aneurysms Treatments

Han

Kelly

et al. 2017

JFB

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“…The stretching of bonds is assumed to follow a Morse potential, with the energy given by where D e is the dissociation energy of a bond, l – l o is the change in bond length from its equilibrium value, and β s is a constant which controls the width of the potential. The Morse potential is used because it has a relatively simple functional form and, unlike a harmonic function, it well captures the energetics of a chemical bond from its equilibrium position to dissociation . The tensile force acting on a bond can be obtained by taking the derivative of E str as follows …”

Section: Theorymentioning

confidence: 99%

“…The deformation of a bond angle is assumed to be governed by the following potential where θ o – θ is the change in bond angle from its equilibrium value, and k θ and k s are constants. The bending moment can be obtained from this potential as follows …”

Section: Theorymentioning

confidence: 99%

Modeling the Mechanics of Polymer Chains with Deformable and Active Bonds

Lavoie¹,

Long

Tang³

2019

J. Phys. Chem. B

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The force–extension relationship of single polymer chains is an essential component underlying the development of macroscopic constitutive models for elastomers. In this work, we present a model for the force–extension relationship beyond the consideration of classical entropic elasticity, by accounting for bond deformation on the chain’s backbone. Parameters in this model are mostly molecular parameters for bond stretching, bending, and breaking already available in the literature, thereby limiting the parameters that need to be extracted from fitting experimental data to a minimum. In addition, an extension of the model is made to include the effects of mechanophores: molecules that react under the application of a mechanical force. This has endowed the model with the capability of predicting the mechanophore reaction as well as chain scission. The model is applied and compared to experimental data, in a range of scenarios: reproducing the measured force–extension relationship for PDMS chains, calculating the rate dependent fracture energy of PDMS films, and predicting the force–extension relationship caused by the unfolding of mechanophore domains. For the last example, it was demonstrated that this type of chain has the potential to be utilized to design elastomers with substantially enhanced strength and toughness.

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Non-linear Finite Element Analysis of Nanotubes

Cited by 2 publications

References 3 publications

Fabrication and Optimal Design of Biodegradable Polymeric Stents for Aneurysms Treatments

Fabrication and Optimal Design of Biodegradable Polymeric Stents for Aneurysms Treatments

Modeling the Mechanics of Polymer Chains with Deformable and Active Bonds

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