OPTIMIZATION PROCEDURE FOR STRESS-CONCENTRATIONS BY THE FINITE-ELEMENT TECHNIQUE
OPTIMIZATION PROCEDURE FOR STRESS-CONCENTRATIONS BY THE FINITE-ELEMENT TECHNIQUE
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DOI：
10.1002/nme.1620140109
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发表时间：
1979-01-01
影响因子：
2.9
通讯作者：
SCHNACK, E
中科院分区：
文献类型：
--
作者：
SCHNACK, E
用迭代法在给定的变化域内对线弹性、均匀、各向同性材料制成的物体的无载荷缺口曲面进行了优化，使产生的最大应力降到最小。利用缺口应力理论的渐消定律，证实了R.V.Baud提出的切向应力分布恒定以获得最小缺口应力的假设。采用有限元方法计算了结构的位移场和应力场。在每一步迭代后，采用增量法来确定位移场，从而可以在一步内以足够的精度计算位移量。数值解及其与解析解和光弹性应力结果的比较证实了该方法的有效性。已知的优化方法1、2与本文所用的方法不同。
Load‐free notch surfaces of bodies made of a linear‐elastic, homogeneous, isotropic material are optimized within given variation domains by means of an interation procedure so that the occurring maximum tangéntial stress is reduced to a minimum. The hypothesis of a constant tangential stress distribution for obtaining minimal notch stresses proposed by R. V. Baud has been confirmed by means of the Fade‐away Law of the notch stress theory. The finite element method is applied for calculating the displacement and stress field of the styructure. An increment procedure is used for determing the displacement field after every iteration step, which permits the calculation of the displacement quantities with sufficient accuracy in a single step. Numerical solutions and their comparison with analytical solutions and stress results obtained with the aid of photo‐elasticity confirm the usefulness of this procedure. The known optimization methods1,2differ from those used in the present paper.