关键词: 解析法, 数值法, 应力, 弹性板, 弹性环

Abstract:

When a finite elastic plate is reinforced with an elliptical ring around an elliptical hole, their stress fields are analysed by means of the combination method of analytic and numerical solutions.It is assumed that the plate is in close contact with the ring without initial stresses. Stress functions of the plate and the ring are formed by a complex Laurent series. The collocating method is used to determine coefficients of complex series in accordance with interface boundary and their out-boundary conditions. So, their stress fileds may be computed. The effect of the number of terms of the series and the number of collocating points on the computation results is analyzed.

Key words: analytic method, numerical method, stress, elastic plate, elastic ring