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The determination of the elastic field of a pentagonal star shaped inclusion. (English) Zbl 0859.73011
This paper shows that the elastic field is uniform in a pentagonal star (five-pointed star) shaped inclusion when an eigenstrain is distributed uniformly in this inclusion. It is also found that for a Jewish star (star of David or six-points star) subjected to a uniform eigenstrain, the stress field is not uniform in the inclusion. These results also hold for two-dimensional plane strain cases. Furthermore, these analytical results are confirmed experimentally by photoelasticity method and also confirmed numerically by the finite element method.

74B05 Classical linear elasticity
74S05 Finite element methods applied to problems in solid mechanics
74-05 Experimental work for problems pertaining to mechanics of deformable solids