Non‐linear dynamic analyses by meshless local Petrov–Galerkin formulations

DOI10.1002/NME.2756zbMath1183.74369OpenAlexW1984396976MaRDI QIDQ5306464

Delfim jun. Soares, Jan Sladek, Vladimir Sládek

Publication date: 9 April 2010

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.2756

zbMATH Keywords

dynamicselastoplastic analysismoving least-squares interpolationmeshless local Petrov-GalerkinNewmark/Newton-Raphson method

Mathematics Subject Classification ID

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

Related Items (6)

Impact and contact problems of explosives by `mixed' meshless local Petrov-Galerkin finite volume method ⋮ Geometrically nonlinear dynamic analysis of functionally graded thick hollow cylinders using total Lagrangian MLPG method ⋮ Modified meshless local Petrov-Galerkin formulations for elastodynamics ⋮ Geometrically nonlinear elastodynamic analysis of hyper-elastic neo-Hooken FG cylinder subjected to shock loading using MLPG method ⋮ Performance of the MLPG method for static shakedown analysis for bounded kinematic hardening structures ⋮ A meshless local Petrov-Galerkin method for nonlinear dynamic analyses of hyper-elastic FG thick hollow cylinder with Rayleigh damping

Cites Work

• Computation of stresses in non-homogeneous elastic solids by local integral equation method: a comparative study
• The local boundary integral equation (LBIE) and its meshless implementation for linear elasticity
• Localized boundary-domain integral formulations for problems with variable coefficients
• Local boundary integral equation (LBIE) method for solving problems of elasticity with nonhomogeneous material properties
• An Analysis for the Elasto-Plastic Fracture Problem by the Meshless Local Petrov-Galerkin Method
• Meshless Local Petrov-Galerkin (MLPG) approaches for solving nonlinear problems with large deformations and rotations
• Applications of MLPG Method in Dynamic Fracture Problems
• Element‐free Galerkin methods
• Meshless local boundary integral equation method for 2D elastodynamic problems
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