摘要
采用计算柔度法对带径向裂纹的扇形截面柱体的扭转问题进行了研究 在引入扭转共轭调和函数 ψ后 ,将裂纹柱体的扭转问题归结为Dirichlet问题 ,应用有限差分法和Gauss-Seidel迭代法求解 用Simpson积分公式计算抗扭刚度系数 最后通过能量释放率与柱体柔度随裂纹长度的变化率之间的关系得出应力强度因子 ,使问题得以解决 在文中计算了扇形截面的边裂纹的多个实例 本文使用的方法 ,理论推导简洁、计算方法简单、适用范围广 。
Torsion problems of the sector bars with cracks are solved numerically by the computing compliance method.The torsion problem can be reduced to a Dirichlet problem after quoting some analytic functions.And the finite difference approach can be used to solve this kind of boundary value problems.Then,torsional stiffness factor of the section can be evaluated by using the Simpson integral formula.Thus,the stress intensity factors are also obtaind from the relation between the energy release rate and the compliance.The computing compliance method in this paper is of simple theory and convenient computation.It can be used to solve the torsion problem of longitudinally cracked bar with any section.Some numerical results are obtained and plotted in figures,which can be directly used in practice.
出处
《江苏理工大学学报（自然科学版）》
2001年第6期81-83,98,共4页
Journal of Jiangsu University of Science and Technology(Natural Science)
基金
江苏省自然科学基金资助项目 (BK9910 9)
