Two dimensional analysis of coupled non-Fick diffusion-elastodynamics problems in functionally graded materials using meshless local Petrov-Galerkin (MLPG) method

DOI10.1016/J.AMC.2015.07.009zbMath1410.74068OpenAlexW1482406565MaRDI QIDQ668212

Vladimir Sládek, Seyed Mahmoud Hosseini, Jan Sladek

Publication date: 18 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.2015.07.009

zbMATH Keywords

wave propagationcoupled problemlocal integral equationsfunctionally graded materials (FGMs)messhless local Petrov-Galerkin (MLPG) methodnon-fick diffusion

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Thermodynamics in solid mechanics (74A15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (2)

Direct meshless local Petrov-Galerkin method for the two-dimensional Klein-Gordon equation ⋮ Dynamic analysis and wave propagation in rotating heterogeneous cylinders under moving load and thermal conditions; implementing an efficient mesh free method

Cites Work

• Application of meshless local integral equations to two dimensional analysis of coupled non-Fick diffusion-elasticity
• Variational principles for generalized thermodiffusion theory in pyroelectricity
• Variational principles for generalized dynamical theory of thermopiezoelectricity
• Meshless local Petrov-Galerkin method for coupled thermoelasticity analysis of a functionally graded thick hollow cylinder
• Dynamical theoretical model and variational principles for coupled temperature-diffusion-mechanics
• Stochastic meshless local Petrov-Galerkin (MLPG) method for thermo-elastic wave propagation analysis in functionally graded thick hollow cylinders
• Numerical Inversion of Laplace Transforms: An Efficient Improvement to Dubner and Abate's Method

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