Using complex variable methods and conformal mapping techniques, we demonstrate rigorously that two inhomogeneities of irregular shape interacting with a screw dislocation can indeed maintain uniform internal stress distributions. Our analysis indicates that while the internal uniform stresses are independent of the existence of the screw dislocation, the shapes of the two inhomogeneities required to achieve this uniformity depend on the Burgers vector, the location of the screw dislocation, and the size of the inhomogeneities. In addition, we find that this uniformity of the internal stress field is achievable also when the two inhomogeneities interact with an arbitrary number of discrete screw dislocations in the matrix.
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Xu Wang 1 ; Peter Schiavone 2
@article{CRMECA_2016__344_7_532_0, author = {Xu Wang and Peter Schiavone}, title = {Two inhomogeneities of irregular shape with internal uniform stress fields interacting with a screw dislocation}, journal = {Comptes Rendus. M\'ecanique}, pages = {532--538}, publisher = {Elsevier}, volume = {344}, number = {7}, year = {2016}, doi = {10.1016/j.crme.2016.02.008}, language = {en}, }
TY - JOUR AU - Xu Wang AU - Peter Schiavone TI - Two inhomogeneities of irregular shape with internal uniform stress fields interacting with a screw dislocation JO - Comptes Rendus. Mécanique PY - 2016 SP - 532 EP - 538 VL - 344 IS - 7 PB - Elsevier DO - 10.1016/j.crme.2016.02.008 LA - en ID - CRMECA_2016__344_7_532_0 ER -
Xu Wang; Peter Schiavone. Two inhomogeneities of irregular shape with internal uniform stress fields interacting with a screw dislocation. Comptes Rendus. Mécanique, Volume 344 (2016) no. 7, pp. 532-538. doi : 10.1016/j.crme.2016.02.008. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2016.02.008/
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