Analytical Solutions and Stress Concentration Factors for Annuli With Inhomogeneous Boundary Conditions

S. Shahzad, J. Niiranen

Tutkimustuotos: LehtiartikkeliArticleScientificvertaisarvioitu

3 Sitaatiot (Scopus)

Abstrakti

Analytical displacement and stress fields with stress concentration factors (SCFs) are derived for linearly elastic annular regions subject to inhomogeneous boundary conditions: an infinite class of the mth order polynomial antiplane tractions or displacements. The solution of the Laplace equation governing the out-of-plane problem covers both rigid and void circular inclusions forming the core of the annulus. The results show first that the SCF and the loading order are inversely proportional. In particular, the SCF approaches value 2 when either the outer boundary of the annulus tends to infinity or the order of the polynomial loading increases. Second, the number of peculiar points on the inner contour having null stress increases with the increasing loading order. The analytical solution is confirmed and extended to noncircular enclosures via finite element analysis by exploiting the heat-stress analogy. The results show that the closed-form solution for a circular annulus can be used as an accurate approximation for noncircular enclosures. Altogether, the results shown can be exploited for analyzing complex loading conditions and/or multiple rigid or void inclusions for enhancing the design of hollow and reinforced composites materials.

AlkuperäiskieliEnglanti
Artikkeli071008
JulkaisuJOURNAL OF APPLIED MECHANICS: TRANSACTIONS OF THE ASME
Vuosikerta85
Numero7
DOI - pysyväislinkit
TilaJulkaistu - 1 heinäkuuta 2018
OKM-julkaisutyyppiA1 Julkaistu artikkeli, soviteltu

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    • 2 Päättynyt

    Isogeometriset adaptiiviset menetelmät ohutseinämäisille rakenteille - arkkitehtuurin ja teollisen muotoilun sovellukset rakenne- ja konetekniikassa

    Balobanov, V., Shahzad, S., Niiranen, J., Khakalo, S. & Nguyen, T.

    01/09/201620/09/2018

    Projekti: Academy of Finland: Other research funding

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