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Meshfree methods
About: Meshfree methods is a research topic. Over the lifetime, 2216 publications have been published within this topic receiving 69596 citations.
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01 Jan 2018
TL;DR: The primary objective of this work is to address the limitations associated with computational efficiency, meshfree domain discretization, and h-refinement, including both placement of particles as well as determination of particle attributes.
Abstract: Meshfree methods provide a more practical approach to solving problems involving large deformation and modeling fracture compared to the Finite Element Method (FEM). However meshfree methods are more computationally intensive compared to FEM, which can limit their practicality in engineering. Meshfree methods also lack a clear boundary definition, restricting available visualization techniques. Determining particle locations and attributes such that a consistent approximation is ensured can be challenging in meshfree methods, especially when employing h-refinement. The primary objective of this work is to address the limitations associated with computational efficiency, meshfree domain discretization, and h-refinement, including both placement of particles as well as determination of particle attributes. To demonstrate the efficacy of these algorithms, a model predicting the failure of laminated composite structures using a meshfree method will be presented.
3 citations
01 Jan 2003
TL;DR: In this article, material processing simulation is carried out using a mesh-free method with the use of a meshfree method, the domain of the workpiece is discretized by a set of particles without using a structured mesh to avoid mesh distortion difficulties which occurred during the course of large plastic deformation.
Abstract: In this paper, material processing simulation is carried out using a meshfree method With the use of a meshfree method, the domain of the workpiece is discretized by a set of particles without using a structured mesh to avoid mesh distortion difficulties which occurred during the course of large plastic deformation The proposed meshfree method is formulated for rigid-plastic material This approach uses the flow formulation based on the assumption that elastic effects are insignificant in the metal forming operation In the rigid-plastic analysis, the main variable of the problem becomes flow velocity rather than displacement A numerical example is solved to validate the proposed methodCopyright © 2003 by ASME
3 citations
DOI•
28 May 2002TL;DR: Two boundary meshfree methods that use point interpolation methods (PIM), the BPIM using the polynomial PIM and the Boundary Radial Point Interpolation Method (BRPIM) using the radial PIM, are reviewed and assessed and found to be very easy to implement, and very robust for obtaining numerical solutions for problems of computational mechanics.
Abstract: A group of meshfree method based on Boundary Integral Equation (BIE) have been proposed and developed in order to overcome drawbacks in the conversional Boundary Element Method (BEM) that require boundary elements in constructing shape functions. In this paper, two boundary meshfree methods that use point interpolation methods (PIM), the Boundary Point Interpolation Method (BPIM) using the polynomial PIM and the Boundary Radial Point Interpolation Method (BRPIM) using the radial PIM, are reviewed and assessed. The numerical implementations of these two methods are examined and compared with each other on several technical issues in great details, including the size of the support domain, the convergence, the performance, and so on. These two boundary-type meshfree methods are also compared with the Boundary Node Method (BNM) and the conversional BEM in both efficiency and performance. Several numerical examples of 2-D elastostatics are analyzed using BPIM and BRPIM. It is found that the BPIM and BRPIM are very easy to implement, and very robust for obtaining numerical solutions for problems of computational mechanics. Key issues related the future development of boundary meshfree methods are also discussed.
3 citations
25 May 2007
TL;DR: In this paper, a computational model based on a meshless method, the EFG method, was developed to simulate forging processes, where finite elements are established between the tools and the workpiece.
Abstract: In this work, a computational model based on a meshless method, the EFG method, was developed to simulate forging processes. The application of meshless methods in this type of forming processes opened new questions related to crucial aspects associated with the modelling of frictional effects along the contact interface between the tools and the workpiece. In this work to deal with this problem of contact and friction special interface finite elements are established between the tools and the workpiece, blending the finite element and the meshless method in a coupled formulation. One example of application in forging is analyzed together with a numerical implementation by the finite element method for comparative purposes. The obtained results are also compared with the experimental values and others published in the literature.
3 citations
TL;DR: A new variational numerical method which does not require any background mesh to compute the scheme coefficients is introduced, and following the virtual element framework it is derived a consistent, coercive and stable numerical scheme.
3 citations