A meshless model for transient heat conduction in functionally graded materials

DOI10.1007/s00466-005-0720-3zbMath1097.80001OpenAlexW2054289607MaRDI QIDQ2502012

Yi-Lan Kang, H. Wang, Qing-Hua Qin

Publication date: 12 September 2006

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-005-0720-3

zbMATH Keywords

fundamental solutionsuperposition principleradial basis functionsanalog equation methodtransient heat conductionfunctionally graded mediavirtual boundary collocation method

Mathematics Subject Classification ID

Related Items (45)

Recent Advances and Emerging Applications of the Singular Boundary Method for Large-Scale and High-Frequency Computational Acoustics ⋮ Hybrid fundamental solution based finite element method: theory and applications ⋮ Meshless local B-spline-FD method and its application for 2D heat conduction problems with spatially varying thermal conductivity ⋮ Analysis of 2D heat conduction in nonlinear functionally graded materials using a local semi-analytical meshless method ⋮ An RBF-MFS model for analysing thermal behaviour of skin tissues ⋮ Boundary integral based graded element for elastic analysis of 2D functionally graded plates ⋮ Transient heat conduction analysis of functionally graded materials by a multiple reciprocity boundary face method ⋮ Optimal material distribution for heat conduction of FGM based on meshless weighted least-square method ⋮ Application of meshless procedure for the peristaltic flow analysis ⋮ Hybrid fundamental solution based finite element method for axisymmetric potential problems ⋮ A Meshfree Approach for Transient Heat Conduction Analysis of Nonlinear Functionally Graded Materials ⋮ Nonlinear thermal buckling analyses of functionally graded plates by a mesh-free radial point interpolation method ⋮ A meshless Chebyshev collocation method for eigenvalue problems of the Helmholtz equation ⋮ Transient hyperbolic heat conduction in thick-walled FGM cylinders and spheres with exponentially-varying properties ⋮ Analysis of 3D transient heat conduction in functionally graded materials using a local semi-analytical space-time collocation scheme ⋮ Boundary knot method for heat conduction in nonlinear functionally graded material ⋮ A new meshless local B-spline basis functions-FD method for two-dimensional heat conduction problems ⋮ A moving least square reproducing polynomial meshless method ⋮ The time-marching method of fundamental solutions for wave equations ⋮ Meshless approach for thermo-mechanical analysis of functionally graded materials ⋮ An extended method of time-dependent fundamental solutions for inhomogeneous heat conduction ⋮ Nonlinear transient heat conduction analysis of functionally graded materials in the presence of heat sources using an improved meshless radial point interpolation method ⋮ Hybrid graded element model for transient heat conduction in functionally graded materials ⋮ Heat flux field for one spherical inhomogeneity embedded in a functionally graded material matrix ⋮ Fundamental-solution-based hybrid FEM for plane elasticity with special elements ⋮ Efficient hypersingular line and surface integrals direct evaluation by complex variable differentiation method ⋮ Hybrid‐Trefftz finite element method for heat conduction in nonlinear functionally graded materials ⋮ Temperature distribution and heat flow around a crack of arbitrary orientation in a functionally graded medium ⋮ Postbuckling analysis of a nonlinear beam with axial functionally graded material ⋮ Solving heat conduction problems by the direct meshless local Petrov-Galerkin (DMLPG) method ⋮ Analysis of Carreau fluid flow between corrugated plates ⋮ Singular boundary method for heat conduction problems with certain spatially varying conductivity ⋮ Three-dimensional transient heat conduction analysis by boundary knot method ⋮ Transient heat conduction analysis using the MLPG method and modified precise time step integration method ⋮ A high order scheme for unsteady heat conduction equations ⋮ An efficient boundary collocation scheme for transient thermal analysis in large-size-ratio functionally graded materials under heat source load ⋮ Fundamental-solution-based finite element model for plane orthotropic elastic bodies ⋮ Many names of the Trefftz method ⋮ A meshless method of solving three-dimensional nonstationary heat conduction problems in anisotropic materials ⋮ New implementation of MLBIE method for heat conduction analysis in functionally graded materials ⋮ Matrix free meshless method for transient heat conduction problems ⋮ A homogenization function method for inverse heat source problems in 3D functionally graded materials ⋮ Identification of thermal conductivity for orthotropic FGMs by DT-DRBEM and L-M algorithm ⋮ Two-dimensional elastodynamic and free vibration analysis by the method of fundamental solutions ⋮ A boundary-type meshless solver for transient heat conduction analysis of slender functionally graded materials with exponential variations

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