Topic
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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TL;DR: Some meshless methods for Partial differential equations, including meshless subdomain method, meshless Petrov–Galerkin method and meshless Schwarz method are presented.
29 citations
01 Jan 2007
TL;DR: In this article, a sheet of paper is modeled as a curve by the dynamical Kirchhoff-love theory and the external forces taken into account are gravitation and the pressure difference between upper and lower surface of the sheet.
Abstract: We present the application of a meshfree method for simulations of interaction between fluids and flexible structures As a flexible structure we consider a sheet of paper In a two-dimensional framework this sheet can be modeled as curve by the dynamical Kirchhoff-Love theory The external forces taken into account are gravitation and the pressure difference between upper and lower surface of the sheet This pressure difference is computed using the Finite Pointset Method (FPM) for the incompressible Navier-Stokes equations FPM is a meshfree, Lagrangian particle method The dynamics of the sheet are computed by a finite difference method We show the suitability of the meshfree method for simulations of fluid-structure interaction in several applications
29 citations
TL;DR: In this article, a multiple crack weight (MCW) method was proposed for the accurate and effective solution of strongly interacting cracks by meshless numerical methods, which constructs weight functions around cracks so that they simultaneously characterize all the cracks present in the single nodal domain of influence.
Abstract: SUMMARY 7 We devise a multiple crack weight (MCW) method for the accurate and effective solution of strongly interacting cracks by meshless numerical methods. The MCW method constructs weight functions 9 around cracks so that they simultaneously characterize all the cracks present in the single nodal domain of influence. This approach reduces the number of nodes necessary to achieve sufficient 11 accuracy and consequently it decreases the computational effort. Numerical examples demonstrate that the method allows an accurate solution of multiple cracks problems. Convergence of the method is 13 analysed and discussed. Copyright 2006 John Wiley & Sons, Ltd.
29 citations
TL;DR: In this paper, a meshless natural neighbor Galerkin method for bending and vibration analysis of plates and laminates is presented, which is based on first order shear deformation plate theory.
29 citations
TL;DR: In this article, the edge-based smoothing discrete shear gap method (ES-DSG3) using three-node triangular elements is combined with a C0-type higher-order shear deformation theory (HSDT) to give a new linear triangular plate element for static, free vibration, and buckling analyses of laminated composite plates.
Abstract: The edge-based smoothing discrete shear gap method (ES-DSG3) using three-node triangular elements is combined with a C0-type higher-order shear deformation theory (HSDT) to give a new linear triangular plate element for static, free vibration, and buckling analyses of laminated composite plates. In the ES-DSG3, only the linear approximation is necessary, and the discrete shear gap method (DSG) for triangular plate elements is used to avoid the shear locking and spurious zero energy modes. In addition, the stiffness matrices are calculated relying on smoothing domains associated with the edges of the triangular elements through an edge-based strain smoothing technique. Using the C0-type HSDT, the shear correction factors in the original ES-DSG3 can be removed and replaced by two additional degrees of freedom at each node. The numerical examples demonstrated that the ES-DSG3 show remarkably excellent performance compared to several other published elements in the literature.
29 citations