Modified meshless local Petrov-Galerkin formulations for elastodynamics

DOI10.1002/NME.3373zbMath1246.74070OpenAlexW2130800425MaRDI QIDQ2911842

Delfim jun. Soares, Jan Sladek, Vladimir Sládek

Publication date: 3 September 2012

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.3373

zbMATH Keywords

elastodynamicsanalytical integrationTaylor series expansionmoving least squares approximationmeshless local Petrovderivatives of shape functionsGalerkin formulations

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items (9)

Direct meshless local Petrov-Galerkin method for elastodynamic analysis ⋮ Numerical solution of an inverse source problem for a time-fractional PDE via direct meshless local Petrov-Galerkin method ⋮ An accurate improved complex variable element-free method for numerical solutions of elastodynamic problems ⋮ 2.5D elastic wave propagation in non-homogeneous media coupling the BEM and MLPG methods ⋮ Boundary node Petrov-Galerkin method in solid structures ⋮ Shock-induced stochastic dynamic analysis of cylinders made of saturated porous materials using MLPG method: considering uncertainty in mechanical properties ⋮ Coupled BEM-MLPG acoustic analysis for non-homogeneous media ⋮ Elastodynamic problems by meshless local integral method: analytical formulation ⋮ The MLPG applied to porous materials with variable stiffness and permeability

Cites Work

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• Local integral equations implemented by MLS-approximation and analytical integrations
• A frequency-domain approach for modelling transient elastodynamics using scaled boundary finite element method
• A new meshless method based on MLPG for elastic dynamic problems
• Time integrations in solution of diffusion problems by local integral equations and moving least squares approximation
• On Increasing Computational Efficiency of Local Integral Equation Method Combined with Meshless Implementations
• An improved meshless collocation method for elastostatic and elastodynamic problems
• Element‐free Galerkin methods
• Non‐linear dynamic analyses by meshless local Petrov–Galerkin formulations

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