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Abstract
An elliptical inclusion (covering both void and rigid inclusions) embedded in an infinite and finite elastic plane subject to uniform or nonuniform (mth order polynomial) antiplane loading conditions is analyzed. An analytical solution in terms of the stress field for an infinite plane is developed through the method of analytic function and conformal mapping. Closedform complex potentials and analytical expressions for Stress Concentration Factors (SCFs) are obtained. The results show that (i.) the SCF value decreases with an increasing loading order, so that the influence of the nonuniformity of the antiplane loads on the SCF is revealed to be beneficial from the failure point of view; (ii.) decrease in the SCF value for an infinite plane is monotonic, which does not hold true for a finite plane. The results for an infinite plane are confirmed and extended for finite planes by exploiting the wellknown heat–stress analogy and the finite element method. It is worth mentioning that the comparison between the analytical solution for an infinite plane and the numerical solution for finite plane is provided, showing that the analytical solution of an infinite plane can be used as an accurate approximation to the case of a finite plane. Moreover, the proposed heat–stress analogy can be exploited to study the crack–inclusion interaction or multiply connected bodies. The computational efficiency of the proposed methodology makes it an attractive analysis tool for antiplane problems with respect to the full scale threedimensional analysis.
Original language  English 

Pages (fromto)  6272 
Number of pages  11 
Journal  Theoretical and Applied Fracture Mechanics 
Volume  97 
DOIs  
Publication status  Published  1 Oct 2018 
MoE publication type  A1 Journal articlerefereed 
Keywords
 Antiplane elasticity
 Composites
 Crack
 Heat–stress analogy
 Laplace equation
 SCF
 SIF
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Dive into the research topics of 'Analytical solution with validity analysis for an elliptical void and a rigid inclusion under uniform or nonuniform antiplane loading'. Together they form a unique fingerprint.Projects
 3 Finished

Isogeometric adaptive methods for thinwalled structures– with applications from architectural and industrial design in structural and mechanical engineering
01/09/2016 → 31/08/2018
Project: Academy of Finland: Other research funding

Isogeometric adaptive methods for thinwalled structures – with applications from architectural and industrial design in structural and mechanical engineering
Balobanov, V., Niiranen, J. & Khakalo, S.
01/09/2013 → 31/08/2016
Project: Academy of Finland: Other research funding

Isogeometric adaptive methods for thinwalled structures with applications from architectural and industrial design in structural and mechanical engineering
01/09/2013 → 31/08/2018
Project: Academy of Finland: Other research funding