Elastic Field in a Semi-Infinite Solid due to Thermal Expansion or a Coherently Misfitting Inclusion-Reference-Cited by-同舟云学术

Elastic Field in a Semi-Infinite Solid due to Thermal Expansion or a Coherently Misfitting Inclusion

Published:2003-09-01 Issue:5 Volume:70 Page:655-660
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Davies J. H.¹

Affiliation:

1. Department of Electronics and Electrical Engineering, Glasgow University, Glasgow, G12 8QQ, U.K.

Abstract

It is shown that the elastic field due to nonuniform temperature or a coherently misfitting inclusion in a semi-infinite region can be derived simply from the corresponding field in an infinite region. This follows from the work of Mindlin and Cheng [J. Appl. Phys. 21, 931 (1950)] but it is not necessary to calculate the thermoelastic potential itself. In particular, the displacement of the free surface is the same as that of the equivalent plane in an infinite solid, increased by a factor of 4(1−ν). The change in volume associated with the distortion of the surface is reduced by a factor of 2(1+ν)/3 from the free expansion of the inclusion. A rectangular inclusion is used to illustrate the theory.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/70/5/655/5471164/655_1.pdf

Reference40 articles.

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