Abstract

Determination of optimum quasi-square hole shape with minimum stress concentration in isotropic plates under uniaxial inplane loading is an important engineering problem in ship design. For such an optimized hole, the tensile and compressive boundaries are respectively having constant stress values. It should be noted that optimized shapes apply only to the loading conditions and specified geometric constraints. In actual practice, if the load axis for the optimized hole is tilted, the stress concentrations on the hole boundary will be increased. It is observed that the load axis tilt angle β can be as large as 11 deg on tensile region and 17 deg on compressive region before the load axis tilting negates the gain due to hole shape optimization for uniaxial tensile loading compared with a circular hole.

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