Three-dimensional fundamental solution of wave propagation and transient heat transfer in non-homogeneous media

DOI10.1016/j.enganabound.2009.03.008zbMath1200.74085OpenAlexW2016331648MaRDI QIDQ2655852

Akbar Jafari, Ahmad Feyz Dizaji

Publication date: 26 January 2010

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2009.03.008

zbMATH Keywords

Laplace transformGreen's function

Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Thermal effects in solid mechanics (74F05) Linear waves in solid mechanics (74J05)

Related Items (2)

Analysis of 3D transient heat conduction in functionally graded materials using a local semi-analytical space-time collocation scheme ⋮ A Localized Space-Time Method of Fundamental Solutions for Diffusion and Convection-Diffusion Problems

Uses Software

• ANSYS

Cites Work

• Three-dimensional fundamental solutions for transient heat transfer by conduction in an unbounded medium, half-space, slab and layered media
• Heat conduction across irregular and fractal-like surfaces
• A generalized Helmholtz equation fundamental solution using a conformal mapping and dependent variable transformation
• Fundamental solutions for variable density two-dimensional elastodynamic problems
• Transient heat conduction in homogeneous and non-homogeneous materials by the Laplace transform Galerkin boundary element method
• Time-dependent fundamental solutions for homogeneous diffusion problems
• A direct formulation and numerical solution of the general transient elastodynamic problem I
• The simple boundary element method for transient heat conduction in functionally graded materials
• An advanced direct time domain BEM for 3-D wave propagation in acoustic media
• Green’s Functions and Boundary Integral Analysis for Exponentially Graded Materials: Heat Conduction
• Boundary element solution of heat conduction problems in multizone bodies of non-linear material
• Two dimensional heat conduction in graded materials using conformal mapping
• A simple boundary element method for problems of potential in non‐homogeneous media
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