The Relationship Between Stress Tensor and Electric Quadrupole Moment and a New Method for Stress Analysis
By comparing stress with the distribution of small-scale charges,the stress tensor is connected with the electric quadrupole moment in the multipole expansion of electrostatic potential in this paper and therefore analysis methods can be applied to both of them in common.Based on the corresponding relationship between the electric quadrupole moment and the characteristic parameters of the electric quadrupole obtained from previous work,the components of the stress tensor can be represented by two vectors with equal magnitude.After solving the equations system to obtain these two vectors,parameters such as the principal stress and principal direction can be obtained.The new method has a relatively concise formula.A clear correspondence is showed between the principal stress and its direction.Transition is comprehensible from a three-dimensional stress problem to a two-dimensional stress problem.This method provides a new idea for stress analysis.
stress analysisprincipal stressprincipal directionelectric quadrupole moment
万方数据
维普
