A new MLPG method for elastostatic problems

DOI10.1016/j.enganabound.2011.08.008zbMath1245.74084OpenAlexW2033116304MaRDI QIDQ444871

A. Abdollahifar, A. R. Shafiei, Mohammad Rahim Nami

Publication date: 24 August 2012

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2011.08.008

zbMATH Keywords

functionally graded materialsMLPG methodelastostaticthe test function

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (4)

Quick and robust meshless analysis of cracked body with coupled generalized hyperbolic thermo-elasticity formulation ⋮ Modeling of magneto-electro-elastic problems by a meshless local natural neighbor interpolation method ⋮ An element-free method for in-plane notch problems with anisotropic materials ⋮ Meshless local Petrov-Galerkin method-higher Reynolds numbers fluid flow applications

Uses Software

• Mfree2D

Cites Work

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• Using state-space models for solving elastodynamic problems discretized by the MLPG method
• A modified meshless local Petrov-Galerkin method to elasticity problems in computer modeling and simulation
• A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
• The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics
• The local boundary integral equation (LBIE) and its meshless implementation for linear elasticity
• Local boundary integral equation (LBIE) method for solving problems of elasticity with nonhomogeneous material properties
• A meshless method with enriched weight functions for fatigue crack growth
• Element‐free Galerkin methods
• A meshless local Petrov-Galerkin (MLPG) method for free and forced vibration analyses for solids
• Continuous meshless approximations for nonconvex bodies by diffraction and transparency

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