【摘 要】
:
In the mechanical analysis of a structure/composite with periodic holes/inhomogeneities based on analytic techniques,the holes/inhomogeneities are usually a
【机 构】
:
StateKeyLaboratoryofMechanicsandControlofMechanicalStructures,NanjingUniversityofAeronauticsandAstro
【出 处】
:
The 5th Asian Conference on Mechanics of Functional Material
论文部分内容阅读
In the mechanical analysis of a structure/composite with periodic holes/inhomogeneities based on analytic techniques,the holes/inhomogeneities are usually assumed to be circular.In this paper,we develop an efficient method (based on complex variable techniques) to calculate the surface tension-induced stress field in a structure containing a periodic array of unidirectional nanosized holes of arbitrary shape.In this method,we use conformal mapping and Faber series techniques to address a finite representative unit cell (RUC) consisting of a single arbitrarily-shaped hole with a constant surface tension imposed on the holes boundary and periodic deformations imposed on the edge of the RUC.Several numerical examples are presented to verify the accuracy of our method and to study the influence of the shape and volume fraction of the holes on the stress concentration in the structure.We show that for holes of certain shapes (such as triangle,pentagon or hexagon) the maximum hoop stress around the holes may appear exactly at the point(s) of maximum curvature when the hole volume fraction exceeds a certain value.On the other hand,when the hole volume fraction falls below about 10%,it is found that the surface tension-induced stress concentration around periodic holes can be treated approximately as that around a single hole with the same hole shape and size in an infinite plane.
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