积分型内时本构方程的增量形式及其应用

从积分型内时本构方程导出了增量公式,它有效地减小了从微分型内时本构方程直接得到的增量公式所带来的误差。由此发展了弹塑性矩阵及切线刚度有限元法。对自增强厚壁圆筒内壁残余应力的分析以及对含对称缺口平板受自身平面内轴向循环变形时应力应变场的分析,表明所发展的方法具有精度高,收敛性好且便于工程应用等优点。

INCREMENTAL FORM OF ENDOCHRONIC CONSTITUTIVE EQUATION AND ITS APPLICATIONS

An incremental formula is derived from integral form of endochronic plastic constitutive equation, which greatly reduces the error caused by the one which was directly obtained from differential form of the constitutive equation. An elastoplastic matrix is then proposed, based on which a stiffness finite element approach is developed. The analysis of the residual stress at the inner skin of an autofrettaged thick-walled cylinder agrees well with the experimental result. The calculated stress-strain fields of a double - edge - notched plate subjected to cyclic zero-to-tension loading are also quite reasonable. The numerical process is steady and quickly convergent, and the developed approach can easily be applied to practical engineering analysis.