Influences of surface on the interaction between holes or edge |
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Authors: | Yan Zhang Shengping Shen |
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Institution: | (1) University of the Ryukyus, Nishihara, Nakagami-gun, Okinawa 903-0213, Japan;(2) Kyushu University, 744 Motooka, Nishi-ku, Fukuoka 819-0395, Japan; |
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Abstract: | The effects of surface energy on the interaction between holes or edge are investigated. Three typical problems are discussed:
(1) an infinite plate containing two holes of unequal size subjected to an all-round tension, (2) a circle disc containing
an eccentric hole subjected to uniform pressure on either external or internal surface, (3) a semi-infinite plate containing
an unstressed circular hole subjected to a uniform tension parallel to its straight edge. The problems are solved by series
expansion in bipolar coordinates. The results show that the surface energy significantly affects the stress concentrations
around the holes as the size of the holes shrinks to nanometers. Meanwhile, the interaction between the holes or edge influences
the stress distribution around the holes or edge, which becomes evident as the holes or edge close to each other and is affected
by the surface effect significantly. |
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Keywords: | |
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