Sie befinden Sich nicht im Netzwerk der Universität Paderborn. Der Zugriff auf elektronische Ressourcen ist gegebenenfalls nur via VPN oder Shibboleth (DFN-AAI) möglich. mehr Informationen...
An edge dislocation inside a semi-infinite plane containing a circular hole
Ist Teil von
International journal of solids and structures, 2018-04, Vol.136-137, p.295-305
Ort / Verlag
New York: Elsevier Ltd
Erscheinungsjahr
2018
Quelle
Free E-Journal (出版社公開部分のみ)
Beschreibungen/Notizen
This paper presents an analytical solution of the Green's function for an edge dislocation lying anywhere inside a semi-infinite plane containing a circular hole. The solution is obtained using the Airy stress function method, where the auxiliary function is expressed in series form in the bi-polar coordinate system and the convergence of the solution is ensured by an asymptotic analysis. Stress distributions are presented for different d/R ratios (where d is the distance from the free edge to the centre of the hole of radius R) and various dislocation positions to show the interactive effect of the two boundaries. The Green's function is then employed to model an edge crack growing toward the hole by a continuous distribution of dislocations.