Aifantis versus Lam strain gradient models of Bishop elastic rods

Barretta, Raffaele; Faghidian, S. Ali; Sciarra, Francesco Marotti de

doi:10.1007/s00707-019-02431-w

Cited by 45 publications

(12 citation statements)

References 85 publications

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“…Theoretical analysis, experimental measurement, and simulation have become the three main methods of modern scientific research [ 1 ]. With the rapid development of computer technology in recent years, computer simulation has been developing rapidly in the field of polymer science, covering almost all fields of polymer physics and chemistry [ 2 ].…”

Section: Introductionmentioning

confidence: 99%

Microscopic Interface and Multiscale Failure Analysis of Proposed Molecular Chain Polymers Based on Aifantis Strain Gradient Theory

Shu-hu

Guijie

2022

Computational Intelligence and Neuroscience

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A study on the microscopic morphology of real-world polymer blends and its mechanism of change showed that the microscopic morphology of equiproportional mixtures gradually changed from a dense body structure to a network structure with the addition of the total polymer concentration up to 20%; the microscopic morphology of mixtures with different proportions was characterized by the most uniform network structure of equiproportional mixtures when the total polymer concentration was 20%. The polymer acts as a defoamer in the mixed system. In this paper, the relationship between the microscopic morphology of each mixture and the physicochemical behavior of the two polymer chains in the mixed system was investigated on the basis of the Aifantis strain gradient theory. Molecular polymer microscopic interface and multiscale failure analysis are proposed. It is shown that for the dihedral angle distribution of four consecutive coarse-grained particles, the peaks obtained from all atomic-scale simulation data are reproduced in the coarse-grained model simulations. The deviation is within 2.5% in most places, except for the local area where the deviation exceeds 5%. Therefore, we have achieved good results for large-scale failures.

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Section: Introductionmentioning

confidence: 99%

Microscopic Interface and Multiscale Failure Analysis of Proposed Molecular Chain Polymers Based on Aifantis Strain Gradient Theory

Shu-hu

Guijie

2022

Computational Intelligence and Neuroscience

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“…Barretta et al. [27] and Güven [28] have investigated the rods in conjunction with strain gradient elasticity theory. Longitudinal vibrations of conical and cylindrical rods have been presented by Fedeto et al.…”

Section: Introductionmentioning

confidence: 99%

“…Nonlocal axial vibration of the multiple nanorod system has been studied by Karličić et al [26]. Barretta et al [27] and Güven [28] have investigated the rods in conjunction with strain gradient elasticity theory. Longitudinal vibrations of conical and cylindrical rods have been presented by Fedeto et al [29] and Marais et al [30] based on the Rayleigh-Bishop theory.…”

Section: Introductionmentioning

confidence: 99%

Axial dynamic analysis of a Bishop nanorod with arbitrary boundary conditions

2020

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In the present work, axial vibrational behavior of nanorods with different boundary conditions is researched. Bishop's rod theory is implemented to simulate the axial deflection. Size‐dependency is captured by using Eringen's nonlocal elasticity theory. Based on nonlocal deformable boundary conditions and Stokes’ transformation, a system of linear equations is derived and then constructed an Eigen value problem. Several numerical examples are presented to investigate the significance of various parameters such as geometric parameters, vibrational modes, various values of nonlocal parameter and axial spring parameters on the axial frequencies of nanorods. The numerical examples indicate that the deformable boundary conditions and small scale parameter have considerable effects on the axial vibration response.

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“…Rapid developments in nano-technology have caused an intensive interest in the analysis of nano-structures and carbon nanotubes since the suitable control over the exclusive properties of CNTs can potentially lead to new advancements applicable to modern nano-electro-mechanical systems (NEMS). The thematic concerning with assessment of size-dependent behavior of nanostructural composites is of current research of community of nano-engineering and -science [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] where some recent reviews can be found in [23,24]. A variety of size-dependent constitutive laws are developed in the literature accounting for scale-effects in the mechanical response of nano-beams and carbon nanotubes.…”

Section: Introductionmentioning

confidence: 99%

Timoshenko nonlocal strain gradient nanobeams: Variational consistency, exact solutions and carbon nanotube Young moduli

Barretta

Faghidian

Sciarra

et al. 2019

Mechanics of Advanced Materials and Structures

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Carbon nanotubes (CNTs) are principal constituents of nanocomposites and nano-systems. CNT size-dependent response assessment is therefore a topic of current interest in Mechanics of Advanced Materials and Structures. CNTs are modelled here by a variationally consistent nonlocal strain gradient approach for Timoshenko nano-beams, extending the treatment in [Int. J. Eng. Science 143 (2019) 73-91] confined to slender structures. Scale effects are described by integral convolutions, conveniently replaced with differential and boundary nonlocal laws. The theoretical predictions, exploited to analytically estimate the reduced Young elastic modulus of CNTs, are validated by molecular dynamics simulations.

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Aifantis versus Lam strain gradient models of Bishop elastic rods

Cited by 45 publications

References 85 publications

Microscopic Interface and Multiscale Failure Analysis of Proposed Molecular Chain Polymers Based on Aifantis Strain Gradient Theory

Microscopic Interface and Multiscale Failure Analysis of Proposed Molecular Chain Polymers Based on Aifantis Strain Gradient Theory

Axial dynamic analysis of a Bishop nanorod with arbitrary boundary conditions

Timoshenko nonlocal strain gradient nanobeams: Variational consistency, exact solutions and carbon nanotube Young moduli

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