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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.

MSC:
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
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