GENERAL-SOLUTION OF DIFFUSION-INDUCED STRESSES

被引：11

作者：

LEE, S

OUYANG, H

机构：

[1] Natl Tsing Hua Univ, Hsinchu, Taiwan, Natl Tsing Hua Univ, Hsinchu, Taiwan

来源：

JOURNAL OF THERMAL STRESSES | 1987年 / 10卷 / 04期

关键词：

CYLINDERS - DIFFUSION - SPHERES - SURFACES - Temperature Measurement;

D O I：

10.1080/01495738708927013

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

A method for obtaining the general solution of diffusion-induced stress problems is proposed. The method, which is an extension of the Duhamel method, includes two situations. First, the boundary condition may contain not only spatial derivatives but also time integrals of the surface temperature. Second, the solution of the diffusion equation with time-dependent surface temperature can be expressed in terms of the known solutions with the time variation of the surface temperature as a Dirac delta function, a constant, or a power function of time. The method is applied to three simple geometries, slab, cylinder, and sphere.

引用

页码：269 / 282

页数：14