A theoretical analysis of angular deformation and local stresses in spherical vessels

In this paper several geometrical relations of angular deformation and the analytical expressions of local stresses in spherical vessels are established with the analytical method. A concise and practical formula for calculating the stress concentration coefficient is derived, which shows that the stress concentration is related to angular deformation and increases with an increases of the square root of the ratio of radius to thickness.     

Dynamic stress concentration around a circular hole due to SH-wave in anisotropic media

A new approach based on complex function to solve the SH-wave scattering problem around a circular hole in anisotropic media is introduced in this paper. It is found that the dynamic stress concentration factor is dependent on the incident wave number and the hole radius. Finally, some numerical results of dynamic stress concentration factor of a circular hole in anisotropic media are given. The Project Supported by National Natural Science Foundation of China     

Micromechanics of residual stress and texture development due to poling in polycrystalline ferroelectric ceramics

This paper presents micromechanics based analysis of elastic strain and changes in the texture of poled polycrystalline ferroelectric PZT ceramics for direct comparison with synchrotron X-ray measurements. The grains are modelled as spherical inclusions, to which transformation strains are assigned depending on the fractions of different ferroelectric domains. Eshelby's inclusion problem with the classical self-consistent method is applied to evaluate the elastic state of the grains. In particular, the elongation due to lattice elastic strain is calculated as a function of inclination Ψ relative to the polar axis. The ratio of diffraction peak intensities, corresponding to the domain fractions, is also expressed as a function of Ψ. This analysis identifies the special character of the reflection, for which the lattice strain along in the stress free state is independent of ferroelectric domain population and hence unaffected by poling. The elongation due to the lattice strain parallel to and peak intensity ratio are expressed in terms of the overall macroscopic strain of a poled specimen, each having a dependence.