A unified formulation for static behavior of nonlocal curved beams

Tüfekçi, Ekrem; Aya, Serhan Aydin; Oldac, Olcay

doi:10.12989/sem.2016.59.3.475

Cited by 7 publications

(5 citation statements)

References 38 publications

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“…To evaluate and compare the mechanical strength and durability of Ultra-High-Performance Fiber-Reinforced Concrete (UHPFRC) against Standard Concrete and Steel-Reinforced Concrete in structural applications, with a specific focus on assessing its compressive, tensile, and flexural strengths, as well as its abrasion resistance, permeability, and impact resistance. This study aims to determine the feasibility and cost-effectiveness of using UHPFRC in modern construction and infrastructure projects, considering both its immediate performance advantages and long-term sustainability benefits (Aya SA, 2016) [2] .…”

Section: Objective Of the Studymentioning

confidence: 99%

Analytical and experimental investigation of curved beams made from ultra-high-performance fiber-reinforced concrete

Roman,

Remus

2023

Int. J. Surv. Struct. Eng.

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Section: Objective Of the Studymentioning

confidence: 99%

Analytical and experimental investigation of curved beams made from ultra-high-performance fiber-reinforced concrete

Roman,

Remus

2023

Int. J. Surv. Struct. Eng.

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“…However, the study of the size effect on the mechanical response of curved microbeam is still limited due to its complexity. Tufekci et al . applied Eringen's differential nonlocal model to study the effects of axial extension and the shear deformation of circular uniform beam under a concentrated loads.…”

Section: Introductionmentioning

confidence: 99%

“…For convenience, the integral constitutive relation can be turned into a differential form for a specific kernel function proposed in Eringen, [17] and this model is widely used to investigate the bending, buckling and vibration behavior of structures including tubes, beams, plates and shells. Since the list of papers is extremely long to be reported in detail here, the readers are encouraged to check the review paper [18][19][20][21][22][23] to access more papers. In practical applications, there are lots of curved beams besides straight beams, such as the following research.…”

Section: Introductionmentioning

confidence: 99%

“…[24][25][26][27] However, the study of the size effect on the mechanical response of curved microbeam is still limited due to its complexity. Tufekci et al [18] applied Eringen's differential nonlocal model to study the effects of axial extension and the shear deformation of circular uniform beam under a concentrated loads. A parametric study is performed to investigate the influence of the nonlocal and geometrical parameter as well as the boundary conditions on the static bending of the nanobeam.…”

Section: Introductionmentioning

confidence: 99%

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Theoretical analysis for static bending of circular Euler–Bernoulli beam using local and Eringen's nonlocal integral mixed model

2019

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Many studies have shown that Eringen's differential nonlocal model leads to some inconsistencies for the cantilever beams, which indicates the necessity to adopt the original integral nonlocal model. In this paper, Eringen's two‐phase local/nonlocal model is applied to capture the size effect in the curved Euler‐Bernoulli beam. The governing equations of equilibrium and boundary conditions are derived on the basis of Hamilton's principle. The Fredholm type integral governing equations are transformed to Volterra integral equations of the second kind through simply adjusting the limit of integrals, and solved uniquely through the Laplace transformation with several unknown constants, which are determined through the boundary conditions and extra constrained equations. The Exact solutions for a curved microbeam bending are derived explicitly for different boundary conditions. The present model is validated against the straight Euler beam for large radius circular case. The numerical results from current model show that the consistent softening effect of the two parameters on the bending deflection of the microbeams is observed for all boundary conditions.

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“…In a recent paper by Ebrahimi and Barati, analytical solutions were obtained for free vibration of FG nanobeams based on the Reddy-Bickford beam theory [31]. Further studies addressing the behavior of ordinary and FG nanobeams can be found in [32][33][34][35][36][37][38][39][40][41][42][43][44][45].…”

Section: Introductionmentioning

confidence: 99%

A novel meshless particle method for nonlocal analysis of two-directional functionally graded nanobeams

Rezaiee‐Pajand

Mokhtari

2019

J Braz. Soc. Mech. Sci. Eng.

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Based on the Reddy-Bickford beam theory (RBBT), a comprehensive study on high-order bending, buckling and free vibration of two-directional functionally graded (FG) nanobeams is presented. The variation of the material properties is assumed to obey arbitrary power-law form in both axial and thickness directions. The equations of motion are derived using Hamilton's principle, and small-scale effects are captured by nonlocal elasticity theory of Eringen. The RBBT formulation leads to complicated governing equations, and 2D FGM introduces additional stiffness terms. Accordingly, the governing equations cannot be solved by classical analytical schemes, and thus, symmetric smoothed particle hydrodynamics (SSPH) meshless method is adopted as an efficient numerical solution approach. The revised super-Gauss function is used as the kernel function. To validate the developed SSPH code, benchmark problems are studied and the results are compared to the analytical solutions. In this context, excellent agreement is observed. Several numerical examples are included to illustrate the effects of gradient indexes, boundary conditions, size scale parameters, aspect and elastic modulus ratios on static and dynamic responses of two-directional FG nanobeams.

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A unified formulation for static behavior of nonlocal curved beams

Cited by 7 publications

References 38 publications

Analytical and experimental investigation of curved beams made from ultra-high-performance fiber-reinforced concrete

Analytical and experimental investigation of curved beams made from ultra-high-performance fiber-reinforced concrete

Theoretical analysis for static bending of circular Euler–Bernoulli beam using local and Eringen's nonlocal integral mixed model

A novel meshless particle method for nonlocal analysis of two-directional functionally graded nanobeams

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