Visual diagnostics of physical quantities based on the functional-voxel modeling method

Abstract

The paper proposes a method of functional voxel modeling (FVM) of stresses arising under the influence of a force or heat load in an isotropic body. We consider the principles of modeling the unit stress in a volume vector a geometric object, set by analogy with the normal vector with two parameters: the function of the value and the function of the angle of direction.The principles of constructing a functional-voxel model are demonstrated that allows a computer to graphically represent a three-dimensional vector as a set of M-images displaying local geometric characteristics of the obtained functional area.The possibilities of constructing stress fields from distributed loads by means of sequential addition of a single stress distributed in space are considered. The principles of constructing a single thermal stress and constructing distributed fields based on it are considered separately. Existing approaches are used to model the shape of thermal expansion of the body. The obtained visual images of stresses and strains are compared with the simulated results in the existing computational modules based on FEM. The advantages of visualizing the results obtained from the standpoint of accuracy and clarity of representation are demonstrated. The prospects of such an approach to modeling visual physical quantities in relation to the visual diagnostics of the part geometry are considered.