| Summary: | 碩士 === 國立臺灣科技大學 === 機械工程研究所 === 84 === A general series solution to the problem of interacting
circular inclusions in plane thermoelasticity is provided in
this paper. Based upon the complex variable theory and the use
of Laurent series expansion, the general expressions of the
stress functions are derived explicitly for the circular
inclusion problem under remote uniform heat flow. By applying
the method of superposition principle, the problem dealing with
any number of arbitrarily located inclusions can be then
reduced to a set of linear algebraic equations which are solved
with the aid of a perturbation technique. For illustrating the
use of the present approach, an approximate closed form
solution of the stress functions is derived explicitly for the
problem containing two arbitrarily located inclusions.
Numerical results of the interfacial stresses around a rigid
circular inclusion or hoop stress along a circular hole due to
the presence of an elastic inclusion are provided to
demonstrate the dependence of the solution upon the pertinent
parameters.
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