Green's functions and boundary integral analysis for exponentially graded materials: Heat conduction

被引：70

作者：

Gray, LJ

Kaplan, T

Richardson, JD

Paulino, GH

机构：

[1] Univ Illinois, Newmark Lab, Dept Civil & Environm Engn, Urbana, IL 61801 USA

[2] Tennessee Technol Univ, Dept Mech Engn, Cookeville, TN 38505 USA

[3] Oak Ridge Natl Lab, Div Math & Comp Sci, Oak Ridge, TN 37831 USA

来源：

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 2003年 / 70卷 / 04期

关键词：

D O I：

10.1115/1.1485753

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Free space Green's functions are derived for graded materials in which the thermal Conductivity varies exponentially, in one coordinate. Closed-form expressions are obtained for the steady-state diffusion equation, in two and three dimensions. The corresponding boundary, integral equation formulations for these problems are derived, and the three-dimensional case is solved numerically using a Galerkin approximation. The results of test calculations are in excellent agreement with exact solutions and finite element simulations.

引用

页码：543 / 549

页数：7

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[21] GREEN-FUNCTIONS FOR HETEROGENEOUS MEDIA POTENTIAL PROBLEMS [J].