An Asymmetric Problem of a Thick Plate Having a Hemi-spherical Pit under Uniaxial Tension
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概要
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This paper contains an asymmetric solution for the stress distributions around a hemi-spherical pit on a free surface of a thick plate under uniaxial tension. In this analysis, thirteen sets of Boussinesq's stress functions were chosen so as to satisfy the boundary conditions automatically, both on the upper surface and at infinity. On the other hand, the remaining conditions on the lower surface and on the surface of the pit are satisfied with the aid of the Hankel transform and relations between the cylindrical harmonics and spherical ones, and lastly "half-range expansion" technique. Numerical results are given for three different values of radius of the hemi-spherical pit.
- 一般社団法人日本機械学会の論文
著者
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Nakahara Ichiro
Faculty Of Engineering Tokyo Institute Of Technology
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Fujita Teruaki
Department Of Applied Physics National Defense Academy
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Tsuchida Eiichiro
Faculty Of Engineering Saitama University
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