A robust Bézier based solution for nonlinear vibration and post-buckling of random checkerboard graphene nano-platelets reinforced composite beams

Kabir, Hossein; Aghdam, M.M.

doi:10.1016/j.compstruct.2019.01.041

Cited by 116 publications

(33 citation statements)

References 48 publications

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“…Jiao [23] used the Differential Quadrature Method (DQM) to determine the pre-buckling in-plane stress distribution of thin rectangular FG-CNTRC plate. Kabir and Aghdam [24] developed an accurate Bézier-based multi-step method and implemented it to find the nonlinear vibration and post-buckling configurations of Euler-Bernoulli composite beams reinforced with graphene nano-platelets (GnP). Both DQM and the Bézier method divide the structure into a single element to calculate the stress and deformation during the buckling prosses, but those require extensive calculations computation to improve the precision of the calculation and the calculation results must be processed to be visualized.…”

Section: Finite Element Model Set-upmentioning

confidence: 99%

Buckling Behavior of Loosely Fitted Formed-In-Place Pipe Liner in Circular Host Pipe under External Pressure

Zeng

Yan²,

Xiang³

et al. 2023

Applied Sciences

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The formed-in-place pipe (FIPP) is a trenchless technology used for pipeline rehabilitation. It is a folded PVC pipe that expands through thermoforming to fit tightly inside the host pipe. However, the deficiencies during the construction of FIPP liners such as insufficient inflation, pipe misalignment and initial deformation will lead to elliptical deformation of the FIPP liner, which affects the load-bearing performance of the liner and makes it susceptible to buckling failure. In this paper, the buckling behavior of loosely fitted FIPP liners under uniform external pressure was investigated by the external pressure resistance test and finite element model. The pre- and post-buckling equilibrium paths verified the finite element model. The results indicated that the value of the dimension ratio will significantly reduce the critical buckling pressure. With the increasing value of liner major axis ratio to host pipe, the reduction effect on the critical buckling pressure caused by the increase in the ovality will diminish. Different values of liner major axis ratio to host pipe and ovality changed the range of the detached portion, which affected the critical buckling pressure. The parametric studies modified the design model from ASTM F1216, which was established to predict the critical buckling pressure of a loosely fitted FIPP liner and reduced the average difference rate from 23.43% to 5.52%.

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Section: Finite Element Model Set-upmentioning

confidence: 99%

Buckling Behavior of Loosely Fitted Formed-In-Place Pipe Liner in Circular Host Pipe under External Pressure

Zeng

Yan²,

Xiang³

et al. 2023

Applied Sciences

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“…Based on the damage energy release rate, the damage evolution laws of tensile damage variables d + and shear damage variables d − are established. ey can be obtained according to formula (11).…”

Section: Double Scalar Damage Constitutive Relationmentioning

confidence: 99%

“…e Bézier method and Galerkin method are widely used in numerical simulation algorithm applications which have the advantages of high accuracy and wide applicability. Kabir et al developed a nonlinear vibration and postbuckling configuration of Euler-Bernoulli composite beams augmented with graphene nanoplatelets (GnP) based on the Bézier method [11,12]. Belardi et al based on the Galerkin method for bending analysis of linear orthogonal anisotropic composite plate, the improved model was proved to have good consistency by comparison [13,14].…”

Section: Introductionmentioning

confidence: 99%

The Study on the Constitutive Model of Concrete for Explicit Dynamic of ABAQUS Based on Damage Energy

Chen

Liu

Lei

et al. 2022

Advances in Materials Science and Engineering

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In this paper, the elastoplastic damage constitutive model of concrete is established based on the damage energy release rate to analyze the failure of concrete structures. Based on the user-defined material program VUMAT interface provided by the ABAQUS, the explicit algorithm is used to secondary develop the concrete model. The model is verified from mechanical behavior, mesh-dependence, and stress state under reciprocating loading. The results show that the model can reasonably simulate the mechanical state of concrete under compression and tension and can effectively solve the mesh-dependence problem in finite element problems. The simulation results were still consistent when the mesh size was 2.5 mm. The low cycle reciprocating simulation test of the concrete column also proves that the model has better hysteretic and bidirectional coupling performance. It is verified that the VUMAT material subroutine can meet the analysis requirements of reinforced concrete structures and can be used to simulate the dynamic response of structures with strong nonlinear stages.

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“…(2021) used the differential quadrature hierarchical finite element method to study the stability and dynamic behavior of the complicated structures and composite laminates. In addition, the Bézier-based multi-step method is also an effective method used to investigate the behavior of composite beams reinforced with graphene nanoplatelets (Kabir and Aghdam, 2019, 2021). In this research, a numerical investigation on the LTB strength of the simple steel H-beam subjected to non-uniform heating conditions was conducted by employing the finite element analysis (FEA) program, ABAQUS (2020), which was also used in previous studies (Kucukler, 2020; Nguyen et al.…”

Section: Introductionmentioning

confidence: 99%

Numerical study on buckling capacity of steel H-beams under non-uniform temperature distribution

Nguyen

Nguyen²,

Nguyen³

et al. 2022

JSFE

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PurposeThe strength and stiffness of steel deteriorate rapidly at elevated temperatures. Thus, the characteristics of steel structures exposed to fire have been concerned in recent years. Most studies on the fire response of steel structures were conducted at uniformly distributed temperatures. This study aims to evaluate the buckling capacity of steel H-beams subjected to different loading conditions under non-uniform heating.Design/methodology/approachA numerical investigation was conducted employing finite element analysis software, ABAQUS. A comparison between the numerical analysis results and the experimental data from previous studies was conducted to verify the beam model. Simply supported beams were loaded with several loading conditions including one end moment, end equal moments, uniformly distributed load and concentrated load at midspan. The effects of initial imperfections were considered. The buckling capacities of steel beams under fire using the existing fire design code and the previous study were also generated and compared.FindingsThe results showed that the length-to-height ratio and loading conditions have a great effect on the buckling resistance of steel beams under fire. The capacity of steel beams under non-uniform temperature distribution using the existing fire design code and the previous study can give unconservative values or too conservative values depending on loading conditions. The maximum differences of unconservative and conservative values are −44.5 and 129.2% for beams subjected to end equal moments and one end moment, respectively.Originality/valueThis study provides the buckling characteristics of steel beams under non-uniform temperature considering the influences of initial imperfections, length-to-height ratios, and loading conditions. This study will be beneficial for structural engineers in properly evaluating structures under non-uniform heating conditions.

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A robust Bézier based solution for nonlinear vibration and post-buckling of random checkerboard graphene nano-platelets reinforced composite beams

Cited by 116 publications

References 48 publications

Buckling Behavior of Loosely Fitted Formed-In-Place Pipe Liner in Circular Host Pipe under External Pressure

Buckling Behavior of Loosely Fitted Formed-In-Place Pipe Liner in Circular Host Pipe under External Pressure

The Study on the Constitutive Model of Concrete for Explicit Dynamic of ABAQUS Based on Damage Energy

Numerical study on buckling capacity of steel H-beams under non-uniform temperature distribution

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