Stress inversion method for predicting local stress distribution of body in two-dimensional state of plane stress or strain

Abstract

The stress inversion method is aimed at predicting a local stress distribution from by measuring a displacement distribution. This paper presents the formulation of the method and some examples of the application. The key point of the stress inversion method is that, for a body in state of plane strain or stress, only three stress components are non-trivial and they satisfy two equations of equilibrium. Hence, the three stress components can be determined if one relation between stress and strain is known and a strain distribution is given. Numerical simulation and model experiment of a material test are made, and it is shown that local stress and constitutive relations are found by applying the stress inversion method. The application of the method to the nation-wide array data of the global positioning system network data is also presented.