Plane stress sharp V-notch tip field in power-law creeping solids

Abstract

Understanding the notch tip field of sharp V-notch under creeping conditions is a serious concern and a prerequisite to evaluate the fracture and fatigue issues for notched components bearing creeping loading. In this paper, the plane stress sharp V-notch tip field is studied by asymptotic analysis. The eigenvalues such as singularity and angular distribution functions are presented and discussed through the asymptotic solution. By comparing the asymptotic solution with the finite element solution, the asymptotic solution shows good agreement. Compared with the plane strain asymptotic solution for sharp V-notch tip, the plane stress asymptotic solution with the leading term may be sufficient to characterize the notch tip stress field. The difference between plane stress asymptotic solution and plane strain asymptotic solution is also discussed. The solution given in this paper could provide a theoretical foundation for the evaluation of plane stress sharp V-notch tip field under creep conditions.