The complex variable meshless local Petrov-Galerkin method for elastodynamic analysis of functionally graded materials

DOI10.1016/j.amc.2017.03.042zbMath1411.74052OpenAlexW2605569800MaRDI QIDQ1738096

Dandan Wei, Hongping Ren, Baodong Dai, Zhu Zhang

Publication date: 29 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.03.042

zbMATH Keywords

functionally graded materialsmeshless methodcomplex variable meshless local Petrov-Galerkin methodelastodynamic analysiscomplex variable moving least-squares approximation

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 initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (11)

Modeling of magneto-electro-elastic problems by a meshless local natural neighbor interpolation method ⋮ A Hermite interpolation element-free Galerkin method for functionally graded structures ⋮ On tracking arbitrary crack path with complex variable meshless methods ⋮ Static analysis of a circular nanotube made of functionally graded bi-semi-tubes using nonlocal strain gradient theory and a refined shear model ⋮ A suitable hybrid meshless method for the numerical solution of time-fractional fourth-order reaction-diffusion model in the multi-dimensional case ⋮ Unified Complex Variable Element-Free Methods: A Comprehensive Framework of Complex Variable Meshless Approaches ⋮ A meshless Hermite weighted least-square method for piezoelectric structures ⋮ The elastoplastic analysis of functionally graded materials using a meshfree RRKPM ⋮ Numerical solution of functionally graded materials based on radial basis reproducing kernel particle method ⋮ The radial basis reproducing kernel particle method for geometrically nonlinear problem of functionally graded materials ⋮ The high-order smooth interpolated reproducing kernel particle method for elastodynamics problems

Uses Software

• Mfree2D

Cites Work

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