| 摘 要： | In this paper,a complex variable function method for solving the hole shapeoptimization problem in an elastic plane is presented.In this method,the stresses in holeproblems are analysed by taking advantage of the efficiency of the complex variablefunction method.To optimize the hole shape,the coeffecients in conformal mappingfunctions are taken as design variables,and the sensitivity analysis and gradient methodsare used to reduce the largest circumferential stress in absolute value and at the same timeto make the second largest circumferential stress in absolute value not to exceed the largestone (in fact,these two stresses are the stationary values of the circumferential stresses).The coefficients in conformal mapping function are revised by iteration step by step until thelargest circumferential stress in absolute value is reduced to the second largest stress.Thismethod guarantees the continuity,differentiability and accuracy of the stress solution alongthe boundary,and it is evident that this method
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