Application of meshless local integral equations to two dimensional analysis of coupled non-Fick diffusion-elasticity

DOI10.1016/j.enganabound.2013.01.010zbMath1297.74088OpenAlexW1975290803MaRDI QIDQ463657

Jan Sladek, Seyed Mahmoud Hosseini, Vladimir Sládek

Publication date: 17 October 2014

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2013.01.010

zbMATH Keywords

wave propagationradial basis functionscoupled problemmeshless local Petrov-Galerkin (MLPG) methodlocal integral equations (LIEs)non-Fick diffusion

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Transformations involving diffusion in solids (74N25) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (7)

A novel meshless local Petrov-Galerkin method for dynamic coupled thermoelasticity analysis under thermal and mechanical shock loading ⋮ Shock-induced two dimensional coupled non-Fickian diffusion-elasticity analysis using meshless generalized finite difference (GFD) method ⋮ Plane waves in temperature dependent hygrothermoelastic medium under the influence of gravity—Analytical and numerical approach ⋮ Local weak form meshless techniques based on the radial point interpolation (RPI) method and local boundary integral equation (LBIE) method to evaluate European and American options ⋮ Application of a hybrid mesh-free method for shock-induced thermoelastic wave propagation analysis in a layered functionally graded thick hollow cylinder with nonlinear grading patterns ⋮ Shock-induced molar concentration wave propagation and coupled non-fick diffusion-elasticity analysis using an analytical method ⋮ Two dimensional analysis of coupled non-Fick diffusion-elastodynamics problems in functionally graded materials using meshless local Petrov-Galerkin (MLPG) method

Uses Software

• Algorithm 368

Cites Work

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• Variational principles for generalized thermodiffusion theory in pyroelectricity
• Variational principles for generalized dynamical theory of thermopiezoelectricity
• A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
• 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
• Numerical Simulations for Coupled Pair of Diffusion Equations by MLPG Method
• Stochastic meshless local Petrov-Galerkin (MLPG) method for thermo-elastic wave propagation analysis in functionally graded thick hollow cylinders

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