An improved meshless method with almost interpolation property for isotropic heat conduction problems

Zhang, Xiaohua; Zhang, Ping; Zhang, Lin

doi:10.1016/j.enganabound.2013.03.004

Cited by 20 publications

(7 citation statements)

References 21 publications

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“…The EFG was conceived in Belytschko's seminal paper in 1994 [30]. In the subsequent years, the method undergone many advances and was extended to many engineering applications such as fracture mechanics [31,32], heat transfer [33,34], fluid flow calculations [35], metal forming [36], shells [37,38], plates and laminates [39,40] and functionally graded materials [41] to name a few. This was due to the suitability of this method in dealing with moving discontinuities, large deformations, and ease of adaptive procedure [42].…”

Section: Introductionmentioning

confidence: 99%

Meshfree formulation for modelling of orthogonal cutting of composites

Kahwash

Shyha

Maheri

2017

Composite Structures

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Please cite this article as: Kahwash, F., Shyha, I., Maheri, A., Meshfree formulation for modelling of orthogonal cutting of composites, Composite Structures (2017), doi: http://dx.doi.org/10. 1016/j.compstruct.2017.01.021 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. Simulations show that the meshfree model is capable of predicting cutting forces as a function of the fibre orientation. Sensitivity analysis is conducted to investigate the effect of important meshfree parameters such as the domain of influence and weight function on forces. One of the strongest advantages of the proposed model is the simple and automatic set up process, as meshing for domain discretisation is not required.

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Section: Introductionmentioning

confidence: 99%

Meshfree formulation for modelling of orthogonal cutting of composites

Kahwash

Shyha

Maheri

2017

Composite Structures

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“…In the paper, a simple technique proposed by Zhang et al [20] is utilized; that is, the nodal influence domain of meshless method is extended to have arbitrary polygon shape. This technique makes MLS approximation function possess interpolation property as approach to 1 [25] and is easier to solve problems with complex area.…”

Section: Review On the Element Free Galerkin Methodsmentioning

confidence: 99%

“…The outer cylinder with radius 1 = 1 centers on the original, and the inner cylinder with 2 = 0.5 has center lying on (−0. 25,0). No-slip boundary conditions are specified on the fluidsolid interfaces.…”

Section: A Circular Cavity With Eccentric Rotating Cylindermentioning

confidence: 99%

Numerical Modeling of Stokes Flow in a Circular Cavity by Variational Multiscale Element Free Galerkin Method

Zhang

2014

Mathematical Problems in Engineering

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The variational multiscale element free Galerkin method is extended to simulate the Stokes flow problems in a circular cavity as an irregular geometry. The method is combined with Hughes’s variational multiscale formulation and element free Galerkin method; thus it inherits the advantages of variational multiscale and meshless methods. Meanwhile, a simple technique is adopted to impose the essential boundary conditions which makes it easy to solve problems with complex area. Finally, two examples are solved and good results are obtained as compared with solutions of analytical and numerical methods, which demonstrates that the proposed method is an attractive approach for solving incompressible fluid flow problems in terms of accuracy and stability, even for complex irregular boundaries.

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“…That is, the rectangular and circle influence domain are extended to have arbitrary polygon shape, and the EFG shape function almost owns the interpolation property as influence factor α approaches to 1. The details for implementation of this technique can be found in Zhang et al [21,25].…”

Section: Review Of Moving Lease Squares Approximationmentioning

confidence: 99%

“…Various numerical techniques have been proposed to enforce the essential boundary conditions, such as Lagrange multipliers method [2], penalty methods [5], coupled FEM method [2,15], the direct interpolation method [3], the transformation method [3] etc. In the paper, a simple technique proposed by Zhang et al [21,25] is utilized. That is, the rectangular and circle influence domain are extended to have arbitrary polygon shape, and the EFG shape function almost owns the interpolation property as influence factor α approaches to 1.…”

Section: Review Of Moving Lease Squares Approximationmentioning

confidence: 99%