The meshless finite point method for transient elastodynamic problems

DOI10.1007/s00707-017-1894-4zbMath1384.74052OpenAlexW2726106900MaRDI QIDQ1742334

Arman Shojaei, Farshid Mossaiby, Mirco Zaccariotto, Ugo Galvanetto

Publication date: 11 April 2018

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-017-1894-4

Mathematics Subject Classification ID

Related Items (15)

OpenCL implementation of a high performance 3D peridynamic model on graphics accelerators ⋮ A local collocation method to construct Dirichlet-type absorbing boundary conditions for transient scalar wave propagation problems ⋮ A hybrid meshfree discretization to improve the numerical performance of peridynamic models ⋮ Error analysis of the meshless finite point method ⋮ Dirichlet‐type absorbing boundary conditions for peridynamic scalar waves in two‐dimensional viscous media ⋮ Peridynamic elastic waves in two-dimensional unbounded domains: construction of nonlocal Dirichlet-type absorbing boundary conditions ⋮ An efficient peridynamic framework based on the arc-length method for fracture modeling of brittle and quasi-brittle problems with snapping instabilities ⋮ A generalized finite difference method based on the peridynamic differential operator for the solution of problems in bounded and unbounded domains ⋮ An improved coupled thermo-mechanic bond-based peridynamic model for cracking behaviors in brittle solids subjected to thermal shocks ⋮ Smoothed FE-meshfree method for solid mechanics problems ⋮ A time-dependent discontinuous Galerkin finite element approach in two-dimensional elastodynamic problems based on spherical Hankel element framework ⋮ A finite point method for solving the time fractional Richards' equation ⋮ Local Dirichlet-type absorbing boundary conditions for transient elastic wave propagation problems ⋮ A local meshless method for transient nonlinear problems: preliminary investigation and application to phase-field models ⋮ The high-order smooth interpolated reproducing kernel particle method for elastodynamics problems

Uses Software

• Mfree2D
• GitHub
• AMGCL

Cites Work

• Direct meshless local Petrov-Galerkin method for elastodynamic analysis
• The complex variable meshless local Petrov-Galerkin method for elastodynamic problems
• A static analysis of three-dimensional functionally graded beams by hierarchical modelling and a collocation meshless solution method
• The finite point method for the \(p\)-Laplace equation
• A meshfree method: meshfree weak-strong (MWS) form method, for 2-D solids
• A regularized Lagrangian finite point method for the simulation of incompressible viscous flows
• Meshless methods: a review and computer implementation aspects
• An improved finite point method for tridimensional potential flows
• The generalized finite point method
• Derivation of stabilized equations for numerical solution of advective-diffusive transport and fluid flow problems
• \(hp\)-meshless cloud method
• Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier--Stokes equations
• Meshless methods based on collocation with radial basis functions
• High order finite point method for the solution to the sound propagation problems
• A review on the modified finite point method
• A double boundary collocation Hermitian approach for the solution of steady state convection-diffusion problems
• Simple modifications for stabilization of the finite point method
• Modified equilibrium on line method for imposition of Neumann boundary conditions in meshless collocation methods
• Element‐free Galerkin methods
• A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW
• Meshfree weak-strong (MWS) form method and its application to incompressible flow problems
• A Tailored Finite Point Method for Solving Steady MHD Duct Flow Problems with Boundary Layers
• Equilibrium on line method (ELM) for imposition of Neumann boundary conditions in the finite point method (FPM)
• Meshfree Methods

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