Citation

Bx. Chen et Xz. Zhang, ORTHOTROPIC THERMOELASTICITY PROBLEM OF SYMMETRICAL HEAT-FLOW DISTURBED BY 3 COPLANAR CRACKS, International journal of fracture, 67(4), 1994, pp. 301-314

Citations number

11

Language

INGLESE

art.tipo

Article

Categorie Soggetti

Mechanics

Journal title

ISSN journal

0376-9429

Volume

67

Issue

4

Year of publication

1994

Pages

301 - 314

Database

ISI

SICI code

0376-9429(1994)67:4<301:OTPOSH>2.0.ZU;2-N

Abstract

This article presents a study on the plane thermoelasticity problem of
an infinite orthotropic plate split by three coplanar cracks under th
e action of symmetrical heat flow. Using the technique of Fourier tran
sforms, the related four-part mixed boundary value problems are reduce
d to two kinds of quadruple integral equations with cosine and sine ke
rnels which are solved by use of finite Hilbert transformation. Closed
form solutions to the temperature, thermal displacements and thermal
stresses on the crack surfaces, and especially, the thermal stress int
ensity factors at crack tips are obtained for the case of uniform heat
flow. The known solutions to the orthotropic thermoelasticity problem
of uniform heat how disturbed by a pair of coplanar cracks or a centr
al planar crack can be deduced from the above results in a straightfor
ward manner, including the solution of thermal stress intensity factor
s for the corresponding thermoelasticity problem with two collinear cr
acks which is another form of the solution, equivalent to that of seri
es expressions obtained by the authors in a previous paper, but much s
impler. It is found that extremely large magnitudes of stress singular
ity may occur as the distance between two adjacent cracks approaches z
ero.