OPTIMIZATION PROCEDURE FOR STRESS-CONCENTRATIONS BY THE FINITE-ELEMENT TECHNIQUE

被引:60
作者
SCHNACK, E
机构
[1] Institute for Technical Mechanics, University of Kaiserslauten
关键词
D O I
10.1002/nme.1620140109
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
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 methods1,2 differ from those used in the present paper. Copyright © 1979 John Wiley & Sons, Ltd
引用
收藏
页码:115 / 124
页数:10
相关论文
共 15 条
[1]  
BANICHUK NV, 1975, PRIKL MAT MEKH, V39, P1082
[2]  
BAUD RV, 1934, PROD ENG, V5, P133
[3]  
CHEREPANOV GP, 1974, PRIKL MAT MEKH, V38, P963
[4]  
FOX RL, 1971, OPTIMIZATION METHODS
[5]  
Francavilla A, 1975, J STRAIN ANAL ENG DE, V10, P63, DOI DOI 10.1243/03093247V102063
[6]   OPTIMUM SHAPE OF FILLETS IN PLATES SUBJECTED TO MULTIPLE IN-PLANE LOADING CASES [J].
KRISTENSEN, ES ;
MADSEN, NF .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1976, 10 (05) :1007-1019
[7]  
Neuber H., 1969, FORSCH INGENIEURWES, V35, P29
[8]  
Neuber H, 1958, KERBSPANNUNGSLEHRE, Vsecond, DOI [10.1007/978-3-642-56793-3, DOI 10.1007/978-3-642-56793-3]
[9]  
Timoshenko S.P., 1970, THEORY ELASTICITY, V3rd edn
[10]   ROLE OF CONSTANT-STRESS SURFACES IN PROBLEM OF MINIMIZING ELASTIC STRESS-CONCENTRATION [J].
WHEELER, L .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1976, 12 (11) :779-789