CAJ | 학술논문

利用平面单元与三维实体单元的有限元方法分别计算了拉伸载荷下对称U形缺口薄板试件的应力集中系数,得到了平面单元计算结果总是小于三维单元计算结果的结论,在此基础上,比较了三维有限元结果与Neuber公式、Barrata-Neal公式的计算结果.发现:对于所研究的6种缺口形状,相较于三维有限元计算结果,Neuber公式和Barrata-Neal公式都低估了缺口应力集中系数,其中,Neuber公式低估的程度界于8.5%-13.3%之间,Barrata-Neal公式低估的最大偏差为5.8%.基于这些事实,利用三维有限元计算结果修正了Neuber公式和Barrata-Neal公式的估算结果,得到了拉伸载荷下U形缺口薄板试件的应力集中系数修正公式.
이용평면단원여삼유실체단원적유한원방법분별계산료랍신재하하대칭U형결구박판시건적응력집중계수,득도료평면단원계산결과총시소우삼유단원계산결과적결론,재차기출상,비교료삼유유한원결과여Neuber공식、Barrata-Neal공식적계산결과.발현:대우소연구적6충결구형상,상교우삼유유한원계산결과,Neuber공식화Barrata-Neal공식도저고료결구응력집중계수,기중,Neuber공식저고적정도계우8.5%-13.3%지간,Barrata-Neal공식저고적최대편차위5.8%.기우저사사실,이용삼유유한원계산결과수정료Neuber공식화Barrata-Neal공식적고산결과,득도료랍신재하하U형결구박판시건적응력집중계수수정공식.
Using plane element and three-dimensional element of finite element method to calculate stress concentration factor (SCF) of symmetrical U-shaped notch sheet under tensile load respectively, a conclusion is obtained that the computing results of the plane element are always lower than those of the three-dimensional element. On the basis of this, a comparison is done between the results of three-dimensional element and the computing results from Neuber's formula and from Barrata-Neal's formula. It is found that, compared with the FEM results of the 6 kinds of notched sheet, the deviation of the results obtained using Neuber's formula ranges from 8.5% to 13.3%, and the maximum deviation of SCF got by Barrata-Neal's formula is 5.5%. In view of these facts, the results from Neuber's formula and from Barrata-Neal's formula are modified using FEM results,what is more, the modified formulae for estimating SCF of U-shaped notch sheet under tensile load are obtained.