Numerical Analysis of Functionally Graded Materials Using Reproducing Kernel Particle Method

Liu, Zheng; Wei, Gaofeng; Wang, Zhiming

doi:10.1142/s1758825119500601

Cited by 27 publications

(17 citation statements)

References 41 publications

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“…Kernel particle method (RKPM) was used for elastic mechanical domains of the functionally graded materials (FGM). The control parameter of influence by the domain radius, penalty factor and different node of distribution based on calculation accuracy are studied [16]. Functionally graded material are utilized for biomedical applications especially in orthopaedic purposes [17].…”

Section: Introductionmentioning

confidence: 99%

“…Wing strength was achieved by means of stress analysis study, while wing vibration amplitudes and shapes were achieved by means of Modal and Harmonic analysis [21]. Liu et al [22] worked on functionally graded materials to study elasticity by using reproducing kernel particle method. There results concludes that this method is effective and nice approach for study.…”

Section: Introductionmentioning

confidence: 99%

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Numerical analysis for mechanical behaviour of beams made by composite and functionally graded materials

Asiri

2022

murjet

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Functionally graded materials are important in laboratory and industry. These materials have opened a new area of research. These functionally graded materials can be produced as a result of composite material by the adding more materials to get desired properties to make it perfect for suitable applications. In this paper, the focus is on the modelling of functionally graded material that is developed to resist wear by any friction or erosion by any liquid. Cemented Carbide (WC) was selected as a composite material that is commonly used in industrial or lab. Before developing the model of functionally graded material (FGM), a detailed study has been carried out on the composite material using the finite element method to find a numerical solution and compared it to the exact one. The analytical solution was obtained by using MATLAB and numerical solution by ANSYS. Besides these software’s SolidWorks and SkyCIV programs were utilized for analysis and plotting purposes. At the end of the project, one layer titanium carbonitride (TiCN) was added to one face and the same layer was added to the four faces to make the comparison between the two cases to select the best model using the results of a total of deformation.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Numerical analysis for mechanical behaviour of beams made by composite and functionally graded materials

Asiri

2022

murjet

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“…However, the strong form-based meshless collation method also has the drawbacks of poor accuracy and stability. The element-free Galerkin (EFG) method [22], reproducing kernel particle method [23,24], local Petrov-Galerkin method [25], and boundary integral equation method [26] belong to the weak-from meshless method. Sometimes meshless methods based on weak forms may have weak computational efficiency.…”

Section: Introductionmentioning

confidence: 99%

A Dimension Splitting-Interpolating Moving Least Squares (DS-IMLS) Method with Nonsingular Weight Functions

2021

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By introducing the dimension splitting method (DSM) into the improved interpolating moving least-squares (IMLS) method with nonsingular weight function, a dimension splitting–interpolating moving least squares (DS–IMLS) method is first proposed. Since the DSM can decompose the problem into a series of lower-dimensional problems, the DS–IMLS method can reduce the matrix dimension in calculating the shape function and reduce the computational complexity of the derivatives of the approximation function. The approximation function of the DS–IMLS method and its derivatives have high approximation accuracy. Then an improved interpolating element-free Galerkin (IEFG) method for the two-dimensional potential problems is established based on the DS–IMLS method. In the improved IEFG method, the DS–IMLS method and Galerkin weak form are used to obtain the discrete equations of the problem. Numerical examples show that the DS–IMLS and the improved IEFG methods have high accuracy.

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“…e meshless method has been developed for solving various engineering problems [7,8]. Liu et al researched on the functionally graded materials using the meshless method [9]. About the driving car problem, Wang et al studied aerodynamics by the CFD coupling method [10].…”

Section: Introductionmentioning

confidence: 99%

Large Eddy Simulation and Flow Field Analysis of Car on the Bridge under Turbulent Crosswind

Ding

Yin

2021

Mathematical Problems in Engineering

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As more long-span bridges continue to be completed and opened to traffic, the safety of cars driving across the bridge has attracted more and more attention, especially when the car is suddenly affected by the crosswind, the car is likely to have direction deviation or even a rollover accident. In this paper, the large eddy simulation method is used to study the flow field characteristics and safety of the car on the bridge under the turbulent crosswind. The numerical simulation model is established by referring to the Donghai Bridge, and the correctness of the car model is validated by combining with the data of wind tunnel test. The influence of factors such as the porosity and height of the bridge guardrail and the Reynolds number of airflow on the flow field characteristics is analyzed. The study shows that, in order to ensure the safety of cars on the bridge, the bridge guardrail porosity should be small, 35.8% is more suitable, the guardrail height should be more suitable within the range of 1.5–1.625 meters, and the Reynolds number should not be 3.51e + 5. The research results of this paper will provide reference for the optimal design of bridge guardrail.

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Numerical Analysis of Functionally Graded Materials Using Reproducing Kernel Particle Method

Cited by 27 publications

References 41 publications

Numerical analysis for mechanical behaviour of beams made by composite and functionally graded materials

Numerical analysis for mechanical behaviour of beams made by composite and functionally graded materials

A Dimension Splitting-Interpolating Moving Least Squares (DS-IMLS) Method with Nonsingular Weight Functions

Large Eddy Simulation and Flow Field Analysis of Car on the Bridge under Turbulent Crosswind

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